
Time bar (total: 11.0s)
| 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)
| 2.5s | 5 539× | 2 | valid |
| 672.0ms | 7 721× | 1 | exit |
| 345.0ms | 2 379× | 1 | valid |
| 19.0ms | 338× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
ival-log: 1.3s (46.8% of total)ival-sinh: 724.0ms (25.5% of total)ival-div: 544.0ms (19.2% of total)adjust: 221.0ms (7.8% of total)ival-true: 15.0ms (0.5% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 133 | 121 | (-6.126667248631369e-222) | 0 | - | (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 | 246 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 8 | 0 |
| ↳ | (sinh.f64 x) | overflow | 8 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 133 | 0 |
| - | 121 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 133 | 0 | 0 |
| - | 121 | 0 | 2 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 223.0ms | 358× | 2 | valid |
| 21.0ms | 126× | 1 | valid |
| 2.0ms | 28× | 0 | valid |
Compiled 45 to 20 computations (55.6% saved)
ival-log: 149.0ms (67.5% of total)ival-sinh: 48.0ms (21.7% of total)ival-div: 14.0ms (6.3% of total)adjust: 9.0ms (4.1% of total)ival-true: 1.0ms (0.5% of total)ival-assert: 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 |
|---|---|---|
| ▶ | 54.0% | (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 | 0.01171875 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 0.01171875 | (sinh.f64 x) | |
| accuracy | 29.440766159001086 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 108.0ms | 179× | 2 | valid |
| 9.0ms | 63× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-log: 54.0ms (50.6% of total)ival-sinh: 29.0ms (27.2% of total)adjust: 17.0ms (15.9% of total)ival-div: 6.0ms (5.6% 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 | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 25.0ms | 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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 6 | 459 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 453 | 7 | 460 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.0% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 53.7% | (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)))) | |
| ▶ | 53.7% | (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)))) |
| ▶ | 53.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 96.2% | #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)) |
| ▶ | 95.7% | #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)) |
| ▶ | 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 203 to 134 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (*.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 | (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| 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 | 28 | 232 |
| 0 | 47 | 232 |
| 1 | 85 | 232 |
| 2 | 144 | 232 |
| 3 | 287 | 232 |
| 4 | 486 | 232 |
| 5 | 636 | 232 |
| 6 | 839 | 232 |
| 7 | 1239 | 232 |
| 8 | 1810 | 232 |
| 9 | 2425 | 232 |
| 10 | 2755 | 232 |
| 11 | 2947 | 232 |
| 12 | 4152 | 232 |
| 13 | 5679 | 232 |
| 14 | 6028 | 232 |
| 15 | 6216 | 232 |
| 16 | 6313 | 232 |
| 17 | 6359 | 232 |
| 18 | 6559 | 232 |
| 19 | 6925 | 232 |
| 20 | 6945 | 232 |
| 21 | 6945 | 232 |
| 22 | 7079 | 232 |
| 23 | 7093 | 232 |
| 24 | 7133 | 232 |
| 25 | 7921 | 232 |
| 0 | 8273 | 232 |
| 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) |
#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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/180 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) |
(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) |
| 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) |
#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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/180 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)))) |
(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) |
(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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (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 | 2.3399400340410983 | #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 | 29.440766159001086 | (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 | (*.f64 x x) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.4600055203455233 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 29.440766159001086 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.3046875 | (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.554413713695675 | #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)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 2.722055067226523 | #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 | 0.10546875 | (*.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 | 0.30859375 | (*.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 | 2.233868388913506 | #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)) |
| 171.0ms | 179× | 2 | valid |
| 67.0ms | 63× | 1 | valid |
| 3.0ms | 14× | 0 | valid |
Compiled 409 to 56 computations (86.3% saved)
ival-mult: 51.0ms (25.3% of total)adjust: 47.0ms (23.3% of total)ival-log: 42.0ms (20.8% of total)ival-sinh: 21.0ms (10.4% of total)const: 19.0ms (9.4% of total)ival-add: 14.0ms (6.9% of total)ival-div: 6.0ms (3% 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) |
#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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #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)))) |
#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)) |
(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)) |
(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 (* 1/120 (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))))) |
(* -1/180 (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)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 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))))) |
(* 1/2835 (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 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | 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)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180)) |
| 11.0ms | 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)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180)) |
| 2.0ms | 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)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 437 |
| 1 | 292 | 436 |
| 2 | 732 | 436 |
| 3 | 1922 | 436 |
| 4 | 4731 | 436 |
| 0 | 8036 | 404 |
| 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 (* 1/120 (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))))) |
(* -1/180 (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)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 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))))) |
(* 1/2835 (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 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 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 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 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 -1/180 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 (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 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* -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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* -1/180 (pow x 2)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 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)) |
(* 1/120 (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/120 (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)) |
(* 1/2835 (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))) |
(*.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)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 204 |
| 0 | 47 | 204 |
| 1 | 166 | 204 |
| 2 | 1082 | 204 |
| 0 | 8705 | 204 |
| 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) |
#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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #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)))) |
#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)) |
(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)) |
(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 (*.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))) (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))) |
(*.f64 (*.f64 (*.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))) (pow.f64 (-.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (*.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 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))) |
(*.f64 (*.f64 (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 x x)) (pow.f64 (-.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)) #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)) 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 (neg.f64 (*.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 x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (neg.f64 x) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (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 x x))) (neg.f64 (-.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)))) |
(/.f64 (*.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 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 (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 x x)) (-.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x))) |
(/.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)) (*.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 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)) (*.f64 (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 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #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)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 4 binary64)) #s(literal 1/1049760000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/519180508397705765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/34012224000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 4 binary64)) #s(literal 1/1049760000 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/260406090000 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/519180508397705765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/34012224000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/510300 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/11829804542155138297225482421875 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/198359290368000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/519180508397705765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/34012224000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/132885227727000000 binary64)))) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/510300 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)) #s(literal 1/32400 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(/.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))) (neg.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/510300 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/510300 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 1/8037225 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/510300 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/510300 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/510300 binary64)))) (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/510300 binary64) (*.f64 x x)))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/510300 binary64) (*.f64 x x))))))) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/32400 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)) |
(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 #s(literal 1/32400 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (/.f64 (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #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 17 122 to 2 576 computations (85% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 10 | 586 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 577 | 16 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.0% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 53.7% | (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)))) | |
| 53.7% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| ✓ | 53.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 2.5% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| 95.7% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 95.8% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| ▶ | 96.2% | #s(approx (log (/ (sinh 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))) |
| ▶ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ▶ | 95.9% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
| ✓ | 96.2% | #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)) |
| ✓ | 95.7% | #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)) |
| ▶ | 95.5% | #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)) |
| ✓ | 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 521 to 343 computations (34.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) | |
| 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 | (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) | |
| cost-diff | 0 | (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 | (*.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)) | |
| cost-diff | 0 | #s(approx (log (/ (sinh 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 361 |
| 0 | 69 | 353 |
| 1 | 123 | 341 |
| 2 | 198 | 341 |
| 3 | 379 | 341 |
| 4 | 590 | 341 |
| 5 | 778 | 341 |
| 6 | 1030 | 341 |
| 7 | 1570 | 341 |
| 8 | 2184 | 341 |
| 9 | 2851 | 341 |
| 10 | 3349 | 341 |
| 11 | 3832 | 341 |
| 12 | 4853 | 341 |
| 13 | 5976 | 341 |
| 14 | 6376 | 341 |
| 15 | 6560 | 341 |
| 16 | 6626 | 341 |
| 17 | 6652 | 341 |
| 18 | 6818 | 341 |
| 19 | 6854 | 341 |
| 20 | 6854 | 341 |
| 21 | 6900 | 341 |
| 22 | 7336 | 341 |
| 23 | 7508 | 341 |
| 24 | 7508 | 341 |
| 25 | 7508 | 341 |
| 26 | 7508 | 341 |
| 27 | 7508 | 341 |
| 28 | 7524 | 341 |
| 0 | 7524 | 338 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh 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 (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)) |
(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) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#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)) |
(*.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 |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(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) |
| Outputs |
|---|
#s(approx (log (/ (sinh 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))) |
#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 (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 (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) |
(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 (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 (*.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 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)) |
(*.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 |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29296875 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.3399400340410983 | #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) | |
| accuracy | 29.440766159001086 | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) | |
| accuracy | 59.49387489316507 | #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) | |
| accuracy | 2.554413713695675 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x) | |
| accuracy | 0.26171875 | (*.f64 #s(literal -1/180 binary64) x) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 2.554413713695675 | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.30859375 | (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.233868388913506 | #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 | 2.784190265655518 | #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| accuracy | 0.025722509768442016 | (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 | 0.03125 | (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) | |
| accuracy | 0.19140625 | (*.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)) | |
| accuracy | 2.233868388913506 | #s(approx (log (/ (sinh 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))) |
| 201.0ms | 179× | 2 | valid |
| 42.0ms | 63× | 1 | valid |
| 4.0ms | 14× | 0 | valid |
Compiled 615 to 87 computations (85.9% saved)
ival-mult: 53.0ms (26.3% of total)adjust: 38.0ms (18.8% of total)ival-log: 36.0ms (17.8% of total)ival-sinh: 23.0ms (11.4% of total)ival-add: 20.0ms (9.9% of total)const: 19.0ms (9.4% of total)ival-div: 12.0ms (5.9% 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 (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 (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)) |
(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(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)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal -1/180 binary64) x) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
-1/180 |
(- (* 1/2835 (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)))) |
(pow x 2) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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))))))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* -1/180 x) |
(* x (+ 1/6 (* 1/120 (pow x 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))))) |
(* 1/2835 (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))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 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))))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (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))))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 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 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* (* x x) 1/2835) -1/180) (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) (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) x) (* x x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -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) x) x) (* 1/6 x) (* -1/180 x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x)) |
| 10.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* (* x x) 1/2835) -1/180) (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) (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) x) (* x x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -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) x) x) (* 1/6 x) (* -1/180 x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x)) |
| 3.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* (* x x) 1/2835) -1/180) (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) (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) x) (* x x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -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) x) x) (* 1/6 x) (* -1/180 x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 547 |
| 1 | 393 | 546 |
| 2 | 1023 | 543 |
| 3 | 2585 | 543 |
| 4 | 5709 | 543 |
| 0 | 8394 | 505 |
| 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 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
-1/180 |
(- (* 1/2835 (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)))) |
(pow x 2) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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))))))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* -1/180 x) |
(* x (+ 1/6 (* 1/120 (pow x 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))))) |
(* 1/2835 (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))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 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))))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (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))))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 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 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 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 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 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 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #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)) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) 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 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4500 binary64) #s(literal 6 binary64))) |
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 (*.f64 x x) #s(literal 1/120 binary64) #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)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 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)) |
(* 1/2835 (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 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 (*.f64 x x) #s(literal 1/2835 binary64) #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 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 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)))))) |
(* -1/180 (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 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
(* -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 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)) |
(/ -180 (pow x 2)) |
(/.f64 #s(literal -180 binary64) (*.f64 x x)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 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)))) |
(* 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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* -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 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) |
(+ (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))) |
(*.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)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 330 |
| 0 | 69 | 322 |
| 1 | 246 | 310 |
| 2 | 1340 | 310 |
| 0 | 8244 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh 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 (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)) |
(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(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)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal -1/180 binary64) x) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
| 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)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (pow.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)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.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)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64))) |
(*.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)) (*.f64 x x)) |
(*.f64 (*.f64 x 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))) |
(*.f64 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)) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x)))) |
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(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) x)) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
Compiled 21 398 to 2 993 computations (86% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 5 | 668 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 666 | 18 | 684 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.0% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 53.7% | (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)))) | |
| ▶ | 53.7% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
| ✓ | 53.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 2.5% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
| ▶ | 95.7% | #s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 95.8% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| ▶ | 95.9% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
| ✓ | 96.2% | #s(approx (log (/ (sinh 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))) |
| ✓ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ▶ | 96.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
| ▶ | 95.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
| ✓ | 96.2% | #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)) |
| ✓ | 95.7% | #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)) |
| ✓ | 95.5% | #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)) |
| ✓ | 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 521 to 356 computations (31.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) | |
| cost-diff | 7232 | (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/180 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 333 |
| 0 | 62 | 313 |
| 1 | 105 | 313 |
| 2 | 160 | 313 |
| 3 | 217 | 313 |
| 4 | 334 | 313 |
| 5 | 477 | 313 |
| 6 | 735 | 313 |
| 7 | 1261 | 313 |
| 8 | 1980 | 313 |
| 9 | 2757 | 313 |
| 10 | 3340 | 313 |
| 11 | 5001 | 313 |
| 12 | 6876 | 313 |
| 13 | 7076 | 313 |
| 14 | 7118 | 313 |
| 15 | 7136 | 313 |
| 16 | 7152 | 313 |
| 17 | 7346 | 313 |
| 18 | 7465 | 313 |
| 19 | 7580 | 313 |
| 20 | 7580 | 313 |
| 21 | 7666 | 313 |
| 22 | 7966 | 313 |
| 0 | 8114 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
x |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
#s(literal 1/5 binary64) |
(*.f64 x x) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) |
x |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/180 binary64) x) x) |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
x |
(*.f64 x x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(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 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) |
x |
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
x |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) |
#s(literal 1/5 binary64) |
(*.f64 x x) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) |
x |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x) |
(*.f64 (*.f64 #s(literal -1/180 binary64) x) x) |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
x |
(*.f64 x x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(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 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)) |
(/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x) |
x |
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.033535009768442016 | (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) | |
| accuracy | 0.109375 | (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) | |
| accuracy | 0.26171875 | (*.f64 #s(literal -1/180 binary64) x) | |
| accuracy | 2.554413713695675 | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) | |
| accuracy | 0.02734375 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.29296875 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.3399400340410983 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) | |
| accuracy | 29.440766159001086 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) | |
| accuracy | 0.1953125 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.26171875 | (*.f64 #s(literal -1/180 binary64) x) | |
| accuracy | 2.554413713695675 | #s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| accuracy | 0.01171875 | (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) | |
| accuracy | 2.554413713695675 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) | |
| accuracy | 3.032051877533735 | #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) | |
| accuracy | 0.01171875 | (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) | |
| accuracy | 2.545770414086958 | #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) | |
| accuracy | 2.554413713695675 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
| 406.0ms | 179× | 2 | valid |
| 34.0ms | 63× | 1 | valid |
| 4.0ms | 14× | 0 | valid |
Compiled 562 to 78 computations (86.1% saved)
ival-log: 191.0ms (47.2% of total)ival-mult: 93.0ms (23% of total)ival-add: 37.0ms (9.2% of total)adjust: 22.0ms (5.4% of total)ival-sinh: 21.0ms (5.2% of total)ival-div: 19.0ms (4.7% of total)const: 16.0ms (4% of total)ival-pow: 5.0ms (1.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal -1/180 binary64) x) x) |
(*.f64 #s(literal -1/180 binary64) x) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 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)))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(* -1/180 (pow x 2)) |
(* -1/180 x) |
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 (+ 1/6 (* 1/120 (pow x 2)))) |
(/ 6 x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* -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)) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (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 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(/ -180 (pow x 3)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (+ (* (* (* -1/180 x) x) (* x x)) (* 1/6 (* x x))) (log (/ (sinh x) x)) (* (* -1/180 x) x) (* -1/180 x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* 1/120 (* x x)) 1/6) x) x) 1) (* (+ (* 1/120 (* x x)) 1/6) x) (/ x (/ (pow (+ (* (* -1/180 x) x) 1/6) -1) x)) (log (/ (sinh x) x)) (/ (pow (+ (* (* -1/180 x) x) 1/6) -1) x) (pow (+ (* (* -1/180 x) x) 1/6) -1) (* 1/6 (* x x)) (+ (* 1/120 (* x x)) 1/6) (+ (* (* -1/180 x) x) 1/6)) |
| 10.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (+ (* (* (* -1/180 x) x) (* x x)) (* 1/6 (* x x))) (log (/ (sinh x) x)) (* (* -1/180 x) x) (* -1/180 x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* 1/120 (* x x)) 1/6) x) x) 1) (* (+ (* 1/120 (* x x)) 1/6) x) (/ x (/ (pow (+ (* (* -1/180 x) x) 1/6) -1) x)) (log (/ (sinh x) x)) (/ (pow (+ (* (* -1/180 x) x) 1/6) -1) x) (pow (+ (* (* -1/180 x) x) 1/6) -1) (* 1/6 (* x x)) (+ (* 1/120 (* x x)) 1/6) (+ (* (* -1/180 x) x) 1/6)) |
| 2.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (+ (* (* (* -1/180 x) x) (* x x)) (* 1/6 (* x x))) (log (/ (sinh x) x)) (* (* -1/180 x) x) (* -1/180 x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* 1/120 (* x x)) 1/6) x) x) 1) (* (+ (* 1/120 (* x x)) 1/6) x) (/ x (/ (pow (+ (* (* -1/180 x) x) 1/6) -1) x)) (log (/ (sinh x) x)) (/ (pow (+ (* (* -1/180 x) x) 1/6) -1) x) (pow (+ (* (* -1/180 x) x) 1/6) -1) (* 1/6 (* x x)) (+ (* 1/120 (* x x)) 1/6) (+ (* (* -1/180 x) x) 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 526 |
| 1 | 381 | 525 |
| 2 | 1024 | 518 |
| 3 | 2579 | 517 |
| 4 | 5517 | 517 |
| 0 | 8148 | 480 |
| 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)))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(* -1/180 (pow x 2)) |
(* -1/180 x) |
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 (+ 1/6 (* 1/120 (pow x 2)))) |
(/ 6 x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* -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)) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (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 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(/ -180 (pow x 3)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3))) |
| 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 #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 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (*.f64 x x) #s(literal 1/150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) 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)) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (*.f64 x x) #s(literal 1/150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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)) |
(+ (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)) |
(* -1/180 (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 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* -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) |
(/ -180 (pow x 2)) |
(/.f64 #s(literal -180 binary64) (*.f64 x x)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 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)))) |
(* 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(/ -180 (pow x 3)) |
(/.f64 #s(literal -180 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 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)) |
(* (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)) |
(+ (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 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) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3))) |
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3))) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -4860000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -180 binary64)) (-.f64 (/.f64 #s(literal 5400 binary64) (*.f64 x x)) (/.f64 #s(literal -162000 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 299 |
| 0 | 62 | 279 |
| 1 | 230 | 279 |
| 2 | 1303 | 279 |
| 0 | 8217 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal -1/180 binary64) x) x) |
(*.f64 #s(literal -1/180 binary64) x) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) x) |
(*.f64 (*.f64 x x) (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (*.f64 x x))) |
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 x (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x)) |
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(*.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) |
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(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (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 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) #s(literal 4 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 -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 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 -1/198359290368000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1259712000 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 (*.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (exp.f64 (log.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 (-.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 #s(literal -1/180 binary64) x) x))) |
(/.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 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1080 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 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 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1080 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 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 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) x) x)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1080 binary64)))) (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/180 binary64) x) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) x) x))) (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) x) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)))))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) x) x)) |
Compiled 15 397 to 2 337 computations (84.8% saved)
19 alts after pruning (6 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 513 | 4 | 517 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 9 | 9 |
| Total | 516 | 19 | 535 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.0% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 53.7% | (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)))) | |
| ✓ | 53.7% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
| ✓ | 53.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 2.5% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
| ✓ | 95.7% | #s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| 96.3% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) | |
| 95.6% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))) | |
| 95.6% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x))) | |
| 93.7% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))) | |
| ✓ | 96.2% | #s(approx (log (/ (sinh 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))) |
| ✓ | 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ✓ | 96.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
| ✓ | 95.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
| ✓ | 96.2% | #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)) |
| ✓ | 95.7% | #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)) |
| ✓ | 95.5% | #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)) |
| ✓ | 95.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 874 to 389 computations (55.5% 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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#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 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) (*.f64 x x) (*.f64 #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 (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))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #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) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (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 x (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
3 calls:
| 11.0ms | x |
| 6.0ms | (/.f64 (sinh.f64 x) x) |
| 6.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.4% | 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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#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 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.7% | 1 | (/.f64 (sinh.f64 x) x) |
| 95.7% | 1 | 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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#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)) |
| 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 |
|---|---|---|
| 95.7% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.7% | 1 | (/.f64 (sinh.f64 x) x) |
| 95.7% | 1 | 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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) 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 |
|---|---|---|
| 95.6% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.6% | 1 | (/.f64 (sinh.f64 x) x) |
| 95.6% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total -0.1b remaining (-3.1%)
Threshold costs -0.1b (-3.1%)
| 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 x x) #s(literal 1/6 binary64))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 1 | x |
| 95.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.5% | 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 | 31 | 90 |
| 1 | 40 | 90 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#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 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
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 |
| 0 | 147 | 547 |
| 1 | 393 | 546 |
| 2 | 1023 | 543 |
| 3 | 2585 | 543 |
| 4 | 5709 | 543 |
| 0 | 8394 | 505 |
| 0 | 28 | 204 |
| 0 | 47 | 204 |
| 1 | 166 | 204 |
| 2 | 1082 | 204 |
| 0 | 8705 | 204 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 194 to 107 computations (44.8% saved)
Compiled 250 to 108 computations (56.8% saved)
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