
Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.7s | 5 533× | 2 | valid |
| 646.0ms | 7 835× | 1 | exit |
| 338.0ms | 2 378× | 1 | valid |
| 22.0ms | 345× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
ival-log: 1.7s (54.7% of total)ival-sinh: 707.0ms (22.8% of total)ival-div: 437.0ms (14.1% of total)adjust: 238.0ms (7.7% of total)ival-true: 14.0ms (0.5% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 139 | 112 | (-1.6524215372168656e-223) | 6 | (12937940.326510962) | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 0 | 0 | - | 0 | - | (sinh.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 x) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 245 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 133 | 6 |
| - | 112 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 133 | 0 | 6 |
| - | 112 | 0 | 5 |
| number | freq |
|---|---|
| 0 | 11 |
| 1 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 348.0ms | 324× | 2 | valid |
| 26.0ms | 154× | 1 | valid |
| 2.0ms | 34× | 0 | valid |
Compiled 57 to 24 computations (57.9% saved)
ival-log: 232.0ms (65.6% of total)ival-div: 76.0ms (21.5% of total)ival-sinh: 37.0ms (10.5% of total)adjust: 8.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 20 | 15 |
| 2 | 53 | 15 |
| 3 | 148 | 15 |
| 4 | 446 | 15 |
| 5 | 1346 | 15 |
| 6 | 2402 | 15 |
| 7 | 2924 | 15 |
| 8 | 3206 | 15 |
| 9 | 3244 | 15 |
| 10 | 3246 | 15 |
| 11 | 3246 | 15 |
| 0 | 4 | 5 |
| 0 | 7 | 5 |
| 1 | 13 | 5 |
| 2 | 26 | 5 |
| 3 | 52 | 5 |
| 4 | 93 | 5 |
| 5 | 178 | 5 |
| 6 | 374 | 5 |
| 7 | 644 | 5 |
| 8 | 1118 | 5 |
| 9 | 1798 | 5 |
| 10 | 1910 | 5 |
| 11 | 1972 | 5 |
| 12 | 2145 | 5 |
| 13 | 2345 | 5 |
| 14 | 2419 | 5 |
| 15 | 2456 | 5 |
| 16 | 2456 | 5 |
| 17 | 2480 | 5 |
| 0 | 2480 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.4% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 0 | (/.f64 (sinh.f64 x) x) | |
| cost-diff | 0 | (log.f64 (/.f64 (sinh.f64 x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 0 | 7 | 12 |
| 1 | 13 | 12 |
| 2 | 26 | 12 |
| 3 | 52 | 12 |
| 4 | 93 | 12 |
| 5 | 178 | 12 |
| 6 | 374 | 12 |
| 7 | 644 | 12 |
| 8 | 1118 | 12 |
| 9 | 1798 | 12 |
| 10 | 1910 | 12 |
| 11 | 1972 | 12 |
| 12 | 2145 | 12 |
| 13 | 2345 | 12 |
| 14 | 2419 | 12 |
| 15 | 2456 | 12 |
| 16 | 2456 | 12 |
| 17 | 2480 | 12 |
| 0 | 2480 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (sinh.f64 x) | |
| accuracy | 0.015625 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 31.07216031770403 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 220.0ms | 162× | 2 | valid |
| 10.0ms | 77× | 1 | valid |
| 1.0ms | 17× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sinh: 178.0ms (80.6% of total)ival-log: 30.0ms (13.6% of total)adjust: 7.0ms (3.2% of total)ival-div: 5.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 30.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 2.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 187 |
| 1 | 157 | 186 |
| 2 | 395 | 180 |
| 3 | 1185 | 180 |
| 4 | 2108 | 180 |
| 5 | 3940 | 180 |
| 6 | 4548 | 179 |
| 7 | 4949 | 179 |
| 8 | 6422 | 179 |
| 0 | 8045 | 161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 0 | 7 | 11 |
| 1 | 23 | 11 |
| 2 | 124 | 11 |
| 3 | 931 | 11 |
| 0 | 8549 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))) |
(*.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 x (sinh.f64 x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))))) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (sinh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(sinh.f64 x) |
(neg.f64 (sinh.f64 (neg.f64 x))) |
(neg.f64 (neg.f64 (sinh.f64 x))) |
(fma.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (sinh.f64 x)) |
Compiled 8 848 to 1 621 computations (81.7% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 14 | 459 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 445 | 15 | 460 |
| Status | Accuracy | Program |
|---|---|---|
| 26.0% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))))) | |
| 25.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) | |
| 4.0% | (/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) | |
| 25.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))) (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))) | |
| ▶ | 51.4% | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
| 4.0% | (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) | |
| ▶ | 51.5% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| ✓ | 51.4% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.1% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ▶ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 95.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ▶ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 575 to 330 computations (42.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (sinh.f64 x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) | |
| cost-diff | 19840 | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 0 | (/.f64 x (sinh.f64 x)) | |
| cost-diff | 0 | (log.f64 (/.f64 x (sinh.f64 x))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 183 |
| 0 | 44 | 177 |
| 1 | 71 | 177 |
| 2 | 112 | 177 |
| 3 | 227 | 177 |
| 4 | 435 | 177 |
| 5 | 625 | 177 |
| 6 | 837 | 177 |
| 7 | 1251 | 177 |
| 8 | 1880 | 177 |
| 9 | 2594 | 177 |
| 10 | 3286 | 177 |
| 11 | 3652 | 177 |
| 12 | 4643 | 177 |
| 13 | 5792 | 177 |
| 14 | 6027 | 177 |
| 15 | 6222 | 177 |
| 16 | 6358 | 177 |
| 17 | 6990 | 177 |
| 18 | 7252 | 177 |
| 19 | 7598 | 177 |
| 20 | 7626 | 177 |
| 21 | 7646 | 177 |
| 22 | 7654 | 177 |
| 23 | 7654 | 177 |
| 24 | 7654 | 177 |
| 0 | 8010 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
x |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(/.f64 x (sinh.f64 x)) |
x |
(sinh.f64 x) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
(log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)) |
(/.f64 x (sinh.f64 x)) |
x |
(sinh.f64 x) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
x |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(/.f64 x (sinh.f64 x)) |
x |
(sinh.f64 x) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
(log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)) |
(/.f64 x (sinh.f64 x)) |
x |
(sinh.f64 x) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 x (sinh.f64 x)) | |
| accuracy | 0.0078125 | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) | |
| accuracy | 0.0078125 | (sinh.f64 x) | |
| accuracy | 31.058770065769934 | (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) | |
| accuracy | 0.0078125 | (/.f64 x (sinh.f64 x)) | |
| accuracy | 0.0078125 | (sinh.f64 x) | |
| accuracy | 31.018976453523678 | (log.f64 (/.f64 x (sinh.f64 x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.8835639897512584 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 31.07216031770403 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 3.1487191263159575 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.03125 | (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.3203125 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.561330982975012 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 436.0ms | 162× | 2 | valid |
| 51.0ms | 77× | 1 | valid |
| 4.0ms | 17× | 0 | valid |
Compiled 340 to 53 computations (84.4% saved)
ival-log: 209.0ms (46.1% of total)ival-pow: 102.0ms (22.5% of total)ival-add: 49.0ms (10.8% of total)ival-sinh: 28.0ms (6.2% of total)adjust: 18.0ms (4% of total)ival-mult: 17.0ms (3.8% of total)const: 15.0ms (3.3% of total)ival-div: 11.0ms (2.4% of total)ival-neg: 3.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(/.f64 x (sinh.f64 x)) |
(sinh.f64 x) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
(log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(pow x 2) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6)) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* -1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360)))) |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2))))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))) |
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 101.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (neg (log (/ x (sinh x)))) (log (/ x (sinh x))) (/ x (sinh x)) (sinh x) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (log (pow (/ x (sinh x)) -1/2)) (pow (/ x (sinh x)) -1/2) (+ (* 1/2835 (* x x)) -1/180)) |
| 51.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (neg (log (/ x (sinh x)))) (log (/ x (sinh x))) (/ x (sinh x)) (sinh x) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (log (pow (/ x (sinh x)) -1/2)) (pow (/ x (sinh x)) -1/2) (+ (* 1/2835 (* x x)) -1/180)) |
| 3.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (neg (log (/ x (sinh x)))) (log (/ x (sinh x))) (/ x (sinh x)) (sinh x) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (log (pow (/ x (sinh x)) -1/2)) (pow (/ x (sinh x)) -1/2) (+ (* 1/2835 (* x x)) -1/180)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 741 |
| 1 | 474 | 734 |
| 2 | 1187 | 727 |
| 3 | 3450 | 727 |
| 4 | 5264 | 727 |
| 0 | 8395 | 670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(pow x 2) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6)) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* -1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360)))) |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2))))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))) |
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (* -1/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5670 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/75600 binary64) (*.f64 x x) #s(literal 1/5670 binary64)) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24192 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(neg.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(*.f64 (/.f64 x (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(* 1/2835 (pow x 2)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))) |
(log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) (sqrt.f64 #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 159 |
| 0 | 44 | 148 |
| 1 | 144 | 138 |
| 0 | 854 | 138 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(/.f64 x (sinh.f64 x)) |
(sinh.f64 x) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
(log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
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(+.f64 (log.f64 (sinh.f64 x)) (log.f64 (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)))) (+.f64 (log.f64 x) (log.f64 (sinh.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)) (*.f64 (log.f64 x) (log.f64 (sinh.f64 x)))))) |
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(-.f64 (log.f64 x) (log.f64 (sinh.f64 x))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (sinh.f64 x)))) |
(+.f64 (log.f64 x) (log.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 x)) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))) |
(*.f64 x (pow.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (sinh.f64 x)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sinh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sinh.f64 x) x))) |
(/.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) x)) |
(/.f64 x (sinh.f64 x)) |
(neg.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(sinh.f64 x) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (sinh.f64 x)) (log.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(neg.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (sinh.f64 x)) (log.f64 (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/4 binary64)))) |
(log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/4 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 x (sinh.f64 x)) (/.f64 x (sinh.f64 x))) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/5832000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (-.f64 #s(literal 1/32400 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/5832000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) |
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/5832000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))) (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/5832000 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2835 binary64) x) #s(literal -1/180 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) (/.f64 #s(literal 1/32400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
Compiled 6 811 to 1 093 computations (84% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 8 | 324 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 319 | 20 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| 26.0% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))))) | |
| 25.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) | |
| 25.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))) (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))) | |
| 4.0% | (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) | |
| ✓ | 51.5% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| 41.3% | (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 x)))) | |
| ✓ | 51.4% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.1% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 5.0% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) |
| ▶ | 95.6% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
| 95.5% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))))) | |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| ▶ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
| 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ✓ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 95.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2835 (* x x)) -1/180) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ▶ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 965 to 543 computations (43.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) | |
| cost-diff | 0 | (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) | |
| cost-diff | 0 | (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) | |
| cost-diff | 128 | (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) | |
| cost-diff | 6592 | (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 682 |
| 0 | 102 | 672 |
| 1 | 180 | 672 |
| 2 | 370 | 664 |
| 3 | 1493 | 660 |
| 4 | 6839 | 660 |
| 0 | 8018 | 646 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) |
(+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) |
#s(literal 1/216 binary64) |
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 3 binary64) |
(+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 2 binary64) |
#s(literal 1/36 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/36 binary64))) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/36 binary64))) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/36 binary64))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) |
(+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) |
#s(literal 1/216 binary64) |
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 3 binary64) |
(+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/36 binary64)) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) x) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 2 binary64) |
#s(literal 1/36 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) | |
| accuracy | 0.94140625 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) | |
| accuracy | 31.058770065769934 | (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) | |
| accuracy | 55.493114088898686 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.203125 | (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) | |
| accuracy | 0.258476269536884 | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| accuracy | 0.28515625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) | |
| accuracy | 2.561330982975012 | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 2.6754571860623173 | #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 31.07216031770403 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.109375 | (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.3203125 | (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.561330982975012 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 3.215016081726884 | #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 0.3671875 | (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) | |
| accuracy | 0.37109375 | (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) | |
| accuracy | 2.561330982975012 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
| 634.0ms | 172× | 2 | valid |
| 83.0ms | 67× | 1 | valid |
| 17.0ms | 17× | 0 | valid |
Compiled 1 253 to 129 computations (89.7% saved)
ival-pow: 180.0ms (27.1% of total)ival-log: 144.0ms (21.7% of total)ival-mult: 76.0ms (11.4% of total)ival-exp: 70.0ms (10.5% of total)ival-sinh: 49.0ms (7.4% of total)adjust: 43.0ms (6.5% of total)const: 34.0ms (5.1% of total)ival-div: 22.0ms (3.3% of total)ival-add: 19.0ms (2.9% of total)ival-sub: 12.0ms (1.8% of total)ival-sqrt: 9.0ms (1.4% of total)ival-pow2: 5.0ms (0.8% of total)exact: 1.0ms (0.2% of total)ival-neg: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) |
| Outputs |
|---|
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
-1/36 |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
(* 2 (log (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))) (* 2 (log (* (sqrt 1/2) (sqrt 2))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* 1/12 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/12 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(log (* (sqrt 1/2) (sqrt 2))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* 1/6 (/ (pow x 2) (pow (sqrt 2) 2)))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/24 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* 1/6 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))) |
(* 1/216 x) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/6 (/ (pow x 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* -1/17010 (pow x 4)) |
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)))) |
(log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2))) |
(* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)) |
(* 1/22785532875 (pow x 13)) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(- (exp x) (exp (neg x))) |
(sqrt (/ (- (exp x) (exp (neg x))) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(- (exp x) (exp (* -1 x))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 93.0ms | x | @ | -inf | ((+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (log (/ (sinh x) x)) (* (/ (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2))) x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (* (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) 2) (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x))) (/ (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2))) (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (* 1/6 x) (* (+ (* (* x x) 1/2835) -1/180) x) (- (exp x) (exp (neg x))) (sqrt (/ (- (exp x) (exp (neg x))) x))) |
| 52.0ms | x | @ | inf | ((+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (log (/ (sinh x) x)) (* (/ (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2))) x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (* (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) 2) (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x))) (/ (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2))) (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (* 1/6 x) (* (+ (* (* x x) 1/2835) -1/180) x) (- (exp x) (exp (neg x))) (sqrt (/ (- (exp x) (exp (neg x))) x))) |
| 7.0ms | x | @ | 0 | ((+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (log (/ (sinh x) x)) (* (/ (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2))) x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (* (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) 2) (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x))) (/ (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2))) (* (+ 1/216 (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 3)) x) (* 1/6 x) (* (+ (* (* x x) 1/2835) -1/180) x) (- (exp x) (exp (neg x))) (sqrt (/ (- (exp x) (exp (neg x))) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 1668 |
| 1 | 1075 | 1438 |
| 2 | 3299 | 1422 |
| 3 | 7005 | 1422 |
| 0 | 8136 | 1342 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
-1/36 |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
(* 2 (log (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))) (* 2 (log (* (sqrt 1/2) (sqrt 2))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* 1/12 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/12 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(log (* (sqrt 1/2) (sqrt 2))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* 1/6 (/ (pow x 2) (pow (sqrt 2) 2)))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/24 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* 1/6 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))) |
(* 1/216 x) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/6 (/ (pow x 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* -1/17010 (pow x 4)) |
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)))) |
(log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2))) |
(* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)) |
(* 1/22785532875 (pow x 13)) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(- (exp x) (exp (neg x))) |
(sqrt (/ (- (exp x) (exp (neg x))) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(- (exp x) (exp (* -1 x))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/1080 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/1080 binary64) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/680400 binary64) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal -19/680400 binary64)) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/17010 binary64) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* -1/36 (pow x 2)) |
(*.f64 #s(literal -1/36 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) |
-1/36 |
#s(literal -1/36 binary64) |
(- (* 1/32400 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
(fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(* 2 (log (* (sqrt 1/2) (sqrt 2)))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+ (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))) (* 2 (log (* (sqrt 1/2) (sqrt 2))))) |
(fma.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* 1/12 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/720 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/12 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 10/9 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/360 binary64) #s(literal 1/12096 binary64)) (*.f64 x x) (+.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(log (* (sqrt 1/2) (sqrt 2))) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* 1/6 (/ (pow x 2) (pow (sqrt 2) 2)))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/72 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) x) x #s(literal 1/12 binary64)) (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/24 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 10/9 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/720 binary64) #s(literal 1/24192 binary64)) (*.f64 x x) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/72 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* 1/6 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6048 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* 1/216 x) |
(*.f64 #s(literal 1/216 binary64) x) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) x) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/30618000 binary64) (*.f64 x x) #s(literal -1/5832000 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/482233500 binary64) (*.f64 x x) #s(literal 1/30618000 binary64)) (*.f64 x x) #s(literal -1/5832000 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/6 (/ (pow x 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) x) x (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/8037225 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8037225 binary64)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 19/680400 binary64) (*.f64 x x)) #s(literal 1/255150 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8037225 binary64)) (-.f64 (/.f64 #s(literal 19/680400 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* -1/17010 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/17010 binary64)) |
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/17010 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x))) #s(literal 1/17010 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* 1/2835 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) #s(literal 1/2 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/8037225 (pow x 10)) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2))) |
(log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(* 1/22785532875 (pow x 13)) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/22785532875 binary64)) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x))) (pow.f64 x #s(literal 13 binary64))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x))) (/.f64 #s(literal -1/30618000 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 13 binary64))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x))) (/.f64 #s(literal -1/30618000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 13 binary64))) |
(* 1/2835 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(sqrt (/ (- (exp x) (exp (neg x))) x)) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(*.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))) |
(log.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(*.f64 (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x))) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x))) (/.f64 #s(literal -1/30618000 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x))) (/.f64 #s(literal -1/30618000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 520 |
| 0 | 102 | 494 |
| 1 | 399 | 364 |
| 2 | 2537 | 337 |
| 0 | 9716 | 324 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) x (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)))) |
(pow.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) x) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 (neg.f64 x)) x)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 (neg.f64 x)) x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 x) x) (*.f64 x (exp.f64 (neg.f64 x))))) (sqrt.f64 (*.f64 x x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x)))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 x))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))))) |
Compiled 40 361 to 4 261 computations (89.4% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 784 | 15 | 799 |
| Fresh | 4 | 6 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 792 | 27 | 819 |
| Status | Accuracy | Program |
|---|---|---|
| 25.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) | |
| 25.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))) (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))) | |
| ✓ | 51.5% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| 41.3% | (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 x)))) | |
| ✓ | 51.4% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.1% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 48.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 6.7% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
| 6.5% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) | |
| 51.4% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))) | |
| 51.1% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal 2 binary64))))) | |
| 95.6% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 95.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| ▶ | 4.0% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
| ▶ | 95.9% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) | |
| 94.7% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) | |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))))) | |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| 94.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) #s(approx (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) #s(literal 1/36 binary64))) x)) | |
| 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ✓ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 95.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 1 466 to 896 computations (38.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) | |
| cost-diff | 1344 | (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 754 |
| 0 | 122 | 748 |
| 1 | 191 | 748 |
| 2 | 349 | 748 |
| 3 | 921 | 748 |
| 4 | 2686 | 741 |
| 5 | 5777 | 741 |
| 6 | 6470 | 729 |
| 0 | 8218 | 709 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/32400 binary64) |
#s(literal -1/36 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal -1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
x |
#s(literal 1/6 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) |
(pow.f64 x #s(literal 10 binary64)) |
x |
#s(literal 10 binary64) |
(-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) |
#s(literal 1/8037225 binary64) |
(/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) |
#s(literal 1/255150 binary64) |
(*.f64 x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/12096 binary64) |
(*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
x |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) |
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/32400 binary64) (*.f64 #s(literal -1/36 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/32400 binary64) |
#s(literal -1/36 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal -1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
x |
#s(literal 1/6 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(pow.f64 x #s(literal 10 binary64)) |
x |
#s(literal 10 binary64) |
(-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) |
#s(literal 1/8037225 binary64) |
(/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) |
#s(literal 1/255150 binary64) |
(*.f64 x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal -1/6 binary64) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12096 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(*.f64 (log.f64 (*.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12096 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) |
(log.f64 (*.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12096 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12096 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12096 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12096 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (*.f64 #s(literal 1/12096 binary64) x) x #s(literal 1/720 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/12096 binary64) |
(*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) |
x |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.94140625 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 1.0 | (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 2.530429981747233 | #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 31.058770065769934 | (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 0.32646800722487274 | (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) | |
| accuracy | 2.561330982975012 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| accuracy | 30.274014629361353 | (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) | |
| accuracy | 31.404952917758852 | #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.12109375 | (*.f64 #s(literal 1/120 binary64) x) | |
| accuracy | 2.6754571860623173 | #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 31.07216031770403 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.328125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.918687935768342 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0.258476269536884 | (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| accuracy | 0.3671875 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) | |
| accuracy | 2.554961925030986 | #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) | |
| accuracy | 2.561330982975012 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
| 754.0ms | 172× | 2 | valid |
| 165.0ms | 67× | 1 | valid |
| 16.0ms | 17× | 0 | valid |
Compiled 1 228 to 161 computations (86.9% saved)
ival-log: 218.0ms (25.4% of total)ival-div: 126.0ms (14.7% of total)ival-pow: 102.0ms (11.9% of total)adjust: 100.0ms (11.7% of total)const: 90.0ms (10.5% of total)ival-exp: 74.0ms (8.6% of total)ival-mult: 73.0ms (8.5% of total)ival-sinh: 27.0ms (3.1% of total)ival-add: 22.0ms (2.6% of total)ival-sqrt: 12.0ms (1.4% of total)ival-sub: 7.0ms (0.8% of total)ival-pow2: 5.0ms (0.6% of total)exact: 1.0ms (0.1% of total)ival-neg: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) |
(*.f64 #s(literal 1/120 binary64) x) |
(/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) |
#s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* -1/255150 (pow x 8)) |
(* (pow x 8) (- (* 1/8037225 (pow x 2)) 1/255150)) |
(/ 1/6 (sqrt 2)) |
(+ (* 1/720 (/ (pow x 2) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))) |
(+ (* (pow x 2) (+ (* 1/12096 (/ (pow x 2) (sqrt 2))) (* 1/720 (/ 1 (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))) |
(* 2 (log (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))) (* 2 (log (* (sqrt 1/2) (sqrt 2))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* 1/12 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/12 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(log (* (sqrt 1/2) (sqrt 2))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* 1/6 (/ (pow x 2) (pow (sqrt 2) 2)))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/24 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(* -1/36 x) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(* 1/120 x) |
(/ 1/255150 (pow x 2)) |
(sqrt 2) |
(+ (sqrt 2) (* 1/6 (/ (pow x 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* 1/6 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/32400 (pow x 6)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/12096 (/ (pow x 4) (sqrt 2))) |
(* (pow x 4) (+ (* 1/12096 (/ 1 (sqrt 2))) (* 1/720 (/ 1 (* (pow x 2) (sqrt 2)))))) |
(* (pow x 4) (+ (/ 1/720 (* (pow x 2) (sqrt 2))) (+ (/ 1/6 (* (pow x 4) (sqrt 2))) (* 1/12096 (/ 1 (sqrt 2)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)))) |
(log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2))) |
(* 1/32400 (pow x 5)) |
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(sqrt (/ (- (exp x) (exp (neg x))) x)) |
(* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (* (* (+ (* (pow x 4) 1/32400) -1/36) x) x) (log (/ (sinh x) x)) (* (* (+ (* (* x x) -1/180) 1/6) x) x) (* (+ (* (* x x) -1/180) 1/6) x) (+ (* (* x x) -1/180) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (+ (* (* 1/120 x) x) 1/6) (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (* (pow x 10) (- 1/8037225 (/ 1/255150 (* x x)))) (+ (* (+ (* 1/12096 (* x (/ x (sqrt 2)))) (/ 1/720 (sqrt 2))) (* x x)) (/ 1/6 (sqrt 2))) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (* (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) 2) (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) (* (+ (* (pow x 4) 1/32400) -1/36) x) (* 1/120 x) (/ 1/255150 (* x x)) (sqrt (/ (- (exp x) (exp (neg x))) x)) (/ 1/6 (sqrt 2)) (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) |
| 26.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (* (* (+ (* (pow x 4) 1/32400) -1/36) x) x) (log (/ (sinh x) x)) (* (* (+ (* (* x x) -1/180) 1/6) x) x) (* (+ (* (* x x) -1/180) 1/6) x) (+ (* (* x x) -1/180) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (+ (* (* 1/120 x) x) 1/6) (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (* (pow x 10) (- 1/8037225 (/ 1/255150 (* x x)))) (+ (* (+ (* 1/12096 (* x (/ x (sqrt 2)))) (/ 1/720 (sqrt 2))) (* x x)) (/ 1/6 (sqrt 2))) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (* (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) 2) (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) (* (+ (* (pow x 4) 1/32400) -1/36) x) (* 1/120 x) (/ 1/255150 (* x x)) (sqrt (/ (- (exp x) (exp (neg x))) x)) (/ 1/6 (sqrt 2)) (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) |
| 9.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (* (* (+ (* (pow x 4) 1/32400) -1/36) x) x) (log (/ (sinh x) x)) (* (* (+ (* (* x x) -1/180) 1/6) x) x) (* (+ (* (* x x) -1/180) 1/6) x) (+ (* (* x x) -1/180) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (+ (* (* 1/120 x) x) 1/6) (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (* (pow x 10) (- 1/8037225 (/ 1/255150 (* x x)))) (+ (* (+ (* 1/12096 (* x (/ x (sqrt 2)))) (/ 1/720 (sqrt 2))) (* x x)) (/ 1/6 (sqrt 2))) (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (* (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) 2) (log (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) (* (+ (* (pow x 4) 1/32400) -1/36) x) (* 1/120 x) (/ 1/255150 (* x x)) (sqrt (/ (- (exp x) (exp (neg x))) x)) (/ 1/6 (sqrt 2)) (* (sqrt 1/2) (sqrt (/ (- (exp x) (exp (neg x))) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 1289 |
| 1 | 845 | 1060 |
| 2 | 2598 | 1036 |
| 3 | 5469 | 1015 |
| 0 | 8186 | 957 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* -1/255150 (pow x 8)) |
(* (pow x 8) (- (* 1/8037225 (pow x 2)) 1/255150)) |
(/ 1/6 (sqrt 2)) |
(+ (* 1/720 (/ (pow x 2) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))) |
(+ (* (pow x 2) (+ (* 1/12096 (/ (pow x 2) (sqrt 2))) (* 1/720 (/ 1 (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))) |
(* 2 (log (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))) (* 2 (log (* (sqrt 1/2) (sqrt 2))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* 1/12 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/12 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(log (* (sqrt 1/2) (sqrt 2))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* 1/6 (/ (pow x 2) (pow (sqrt 2) 2)))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/24 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(* -1/36 x) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(* 1/120 x) |
(/ 1/255150 (pow x 2)) |
(sqrt 2) |
(+ (sqrt 2) (* 1/6 (/ (pow x 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* 1/6 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/32400 (pow x 6)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/12096 (/ (pow x 4) (sqrt 2))) |
(* (pow x 4) (+ (* 1/12096 (/ 1 (sqrt 2))) (* 1/720 (/ 1 (* (pow x 2) (sqrt 2)))))) |
(* (pow x 4) (+ (/ 1/720 (* (pow x 2) (sqrt 2))) (+ (/ 1/6 (* (pow x 4) (sqrt 2))) (* 1/12096 (/ 1 (sqrt 2)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)))) |
(log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2))) |
(* 1/32400 (pow x 5)) |
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(sqrt (/ (- (exp x) (exp (neg x))) x)) |
(* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* -1/36 (pow x 2)) |
(*.f64 #s(literal -1/36 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* -1/255150 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/255150 binary64)) |
(* (pow x 8) (- (* 1/8037225 (pow x 2)) 1/255150)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64))) |
(/ 1/6 (sqrt 2)) |
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/720 (/ (pow x 2) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64))) |
(+ (* (pow x 2) (+ (* 1/12096 (/ (pow x 2) (sqrt 2))) (* 1/720 (/ 1 (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/12096 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64)))) |
(* 2 (log (* (sqrt 1/2) (sqrt 2)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))) (* 2 (log (* (sqrt 1/2) (sqrt 2))))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* 1/12 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
(+ (* 2 (log (* (sqrt 1/2) (sqrt 2)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/12 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 5/168 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/360 binary64) (/.f64 #s(literal 1/324 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 x x) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(log (* (sqrt 1/2) (sqrt 2))) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* 1/6 (/ (pow x 2) (pow (sqrt 2) 2)))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4)))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/72 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) x) x #s(literal 1/12 binary64)) (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (log (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -60 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 4))) (+ (* 10/9 (/ 1 (pow (sqrt 2) 6))) (* 360 (/ (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))))) (* 1/24 (- (* 12 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/3 (/ 1 (pow (sqrt 2) 4))))))) (* 1/6 (/ 1 (pow (sqrt 2) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 5/168 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/720 binary64) (/.f64 #s(literal 1/648 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 x x) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/72 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1/36 x) |
(*.f64 #s(literal -1/36 binary64) x) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(/ 1/255150 (pow x 2)) |
(/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/6 (/ (pow x 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) x) x (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/6 (/ 1 (sqrt 2)))))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/6 (/ 1 (sqrt 2)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/12096 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/6 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (*.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* 1/6 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1/2520 (* 1/6 (/ (- 1/60 (* 1/36 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/6048 binary64) x) x #s(literal 1/360 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/8037225 (pow x 10)) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 10 binary64))) |
(* 1/32400 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1/180 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) #s(literal 1/2 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/12096 (/ (pow x 4) (sqrt 2))) |
(*.f64 (/.f64 #s(literal 1/12096 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/12096 (/ 1 (sqrt 2))) (* 1/720 (/ 1 (* (pow x 2) (sqrt 2)))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/12096 binary64))) |
(* (pow x 4) (+ (/ 1/720 (* (pow x 2) (sqrt 2))) (+ (/ 1/6 (* (pow x 4) (sqrt 2))) (* 1/12096 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/12096 binary64)) (*.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(log (* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2))) |
(log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* 1/32400 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/32400 binary64)) |
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt (/ (- (exp x) (exp (neg x))) x)) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) |
(* (sqrt (/ (- (exp x) (exp (neg x))) x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))) |
(*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(* 2 (log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(*.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64)) |
(log (* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))) |
(log.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
(* (sqrt (/ (- (exp x) (exp (* -1 x))) x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 603 |
| 0 | 122 | 587 |
| 1 | 448 | 575 |
| 2 | 3058 | 575 |
| 0 | 8422 | 565 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) |
(*.f64 #s(literal 1/120 binary64) x) |
(/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) |
#s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) |
(*.f64 (neg.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))))) |
(/.f64 (neg.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))) |
(/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))) #s(literal -1 binary64))) |
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1166400 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x (*.f64 #s(literal 1/6 binary64) x)) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) |
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(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) |
(log.f64 (*.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64)) x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1166400 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64))) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1166400 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) x (*.f64 #s(literal -1/36 binary64) x)) |
(fma.f64 #s(literal -1/36 binary64) x (*.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) x)) |
(fma.f64 x (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal -1/36 binary64))) |
(fma.f64 x #s(literal -1/36 binary64) (*.f64 x (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 #s(literal -1/36 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/36 binary64) x) (*.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x #s(literal -1/36 binary64))) |
(+.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 x (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 #s(literal 1/120 binary64) x) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 (/.f64 #s(literal 1/255150 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/255150 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64)) |
(*.f64 #s(literal -1/255150 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/255150 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/255150 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 255150 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 255150 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/255150 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/255150 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 255150 binary64)))) |
(/.f64 #s(literal -1/255150 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1/255150 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1/255150 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/255150 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 255150 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 255150 binary64))) |
(neg.f64 (*.f64 #s(literal -1/255150 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 255150 binary64))) #s(literal -1 binary64))) |
#s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 19 157 to 2 193 computations (88.6% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 11 | 362 |
| Fresh | 4 | 12 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 358 | 31 | 389 |
| Status | Accuracy | Program |
|---|---|---|
| 25.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) | |
| 25.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))) (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))) | |
| ✓ | 51.5% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| 41.3% | (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 x)))) | |
| ✓ | 51.4% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.1% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| ✓ | 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 48.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* (* 1/120 x) x) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) | |
| 6.7% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))) #s(literal 2 binary64))) | |
| ✓ | 6.7% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
| 6.5% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) | |
| 6.5% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) | |
| 51.4% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))) | |
| 51.1% | #s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal 2 binary64))))) | |
| 95.6% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 95.0% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) | |
| 95.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 4.0% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 255150 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 95.2% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 #s(approx (* (+ (* (pow x 4) 1/32400) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 48.4% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) #s(approx (* (pow x 10) (- 1/8037225 (/ 1/255150 (* x x)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 95.7% | #s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) | |
| 95.1% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| 95.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) x)) | |
| 94.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) #s(approx (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) #s(literal 1/36 binary64))) x)) | |
| 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ✓ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 95.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 94.8% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 29.3% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (* x x) -1/180) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 2 628 to 978 computations (62.8% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2835 (* x x)) -1/180) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 #s(approx (* (+ (* (pow x 4) 1/32400) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* (* 1/120 x) x) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (* x x) -1/180) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) #s(approx (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) #s(literal 1/36 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) #s(approx (* (pow x 10) (- 1/8037225 (/ 1/255150 (* x x)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 255150 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 x)))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12096 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal 2 binary64))))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))) (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (+ (log (pow (/ x (sinh x)) -1/2)) (log (pow (/ x (sinh x)) -1/2))) (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 #s(approx (sqrt (/ (- (exp x) (exp (neg x))) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/12096 binary64) (/.f64 #s(literal 1/720 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
3 calls:
| 21.0ms | (/.f64 (sinh.f64 x) x) |
| 13.0ms | x |
| 10.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | x |
| 95.9% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.9% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2835 (* x x)) -1/180) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 #s(approx (* (+ (* (pow x 4) 1/32400) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* (* 1/120 x) x) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (* x x) -1/180) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 3 binary64))) x) #s(approx (+ (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2)) #s(literal 1/36 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) #s(approx (* (pow x 10) (- 1/8037225 (/ 1/255150 (* x x)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 7.0ms | x |
| 5.0ms | (/.f64 (sinh.f64 x) x) |
| 5.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | x |
| 95.7% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.7% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2835 (* x x)) -1/180) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | x |
| 95.2% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.2% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 94.8% | 1 | (/.f64 (sinh.f64 x) x) |
| 94.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | x |
| 94.8% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 94.8% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 121 |
| 1 | 59 | 121 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 159 |
| 0 | 44 | 148 |
| 1 | 144 | 138 |
| 0 | 854 | 138 |
| 0 | 391 | 1668 |
| 1 | 1075 | 1438 |
| 2 | 3299 | 1422 |
| 3 | 7005 | 1422 |
| 0 | 8136 | 1342 |
| 0 | 59 | 187 |
| 1 | 157 | 186 |
| 2 | 395 | 180 |
| 3 | 1185 | 180 |
| 4 | 2108 | 180 |
| 5 | 3940 | 180 |
| 6 | 4548 | 179 |
| 7 | 4949 | 179 |
| 8 | 6422 | 179 |
| 0 | 8045 | 161 |
| 0 | 182 | 741 |
| 1 | 474 | 734 |
| 2 | 1187 | 727 |
| 3 | 3450 | 727 |
| 4 | 5264 | 727 |
| 0 | 8395 | 670 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 213 to 113 computations (46.9% saved)
Compiled 312 to 148 computations (52.6% saved)
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