
Time bar (total: 9.8s)
| 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)
| 2.1s | 5 564× | 2 | valid |
| 709.0ms | 7 842× | 1 | exit |
| 379.0ms | 2 324× | 1 | valid |
| 20.0ms | 368× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
ival-log: 1.2s (48.7% of total)ival-sinh: 777.0ms (30.9% of total)ival-div: 248.0ms (9.9% of total)adjust: 243.0ms (9.7% of total)ival-true: 14.0ms (0.6% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 136 | 116 | (-3.6132987860582006e-255) | 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 | 247 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 5 | 0 |
| ↳ | (sinh.f64 x) | overflow | 5 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 136 | 0 |
| - | 116 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 136 | 0 | 0 |
| - | 116 | 0 | 4 |
| number | freq |
|---|---|
| 0 | 4 |
| 1 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 155.0ms | 324× | 2 | valid |
| 26.0ms | 164× | 1 | valid |
| 1.0ms | 24× | 0 | valid |
Compiled 45 to 20 computations (55.6% saved)
ival-log: 72.0ms (49.4% of total)ival-sinh: 55.0ms (37.7% of total)ival-div: 11.0ms (7.5% of total)adjust: 8.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 20 | 15 |
| 2 | 65 | 15 |
| 3 | 216 | 15 |
| 4 | 1101 | 11 |
| 0 | 4 | 5 |
| 0 | 7 | 5 |
| 1 | 13 | 5 |
| 2 | 33 | 5 |
| 3 | 96 | 5 |
| 4 | 483 | 5 |
| 5 | 3687 | 5 |
| 0 | 8674 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(abs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.9% | (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 | 33 | 12 |
| 3 | 96 | 12 |
| 4 | 483 | 12 |
| 5 | 3687 | 12 |
| 0 | 8674 | 12 |
| 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) |
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 | 0.00390625 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 0.0078125 | (sinh.f64 x) | |
| accuracy | 30.808547373480135 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 86.0ms | 162× | 2 | valid |
| 38.0ms | 82× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-log: 31.0ms (45.5% of total)ival-sinh: 28.0ms (41.1% of total)ival-div: 5.0ms (7.3% of total)adjust: 4.0ms (5.9% 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 | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 31.0ms | 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 | 191 | 186 |
| 2 | 615 | 180 |
| 3 | 2865 | 180 |
| 4 | 6722 | 180 |
| 0 | 8160 | 162 |
| 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 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(+ (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 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 0 | 7 | 11 |
| 1 | 23 | 11 |
| 2 | 131 | 11 |
| 3 | 1035 | 11 |
| 0 | 8469 | 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 (-.f64 (pow.f64 (log.f64 (sinh.f64 (neg.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 (sinh.f64 (neg.f64 x)) (neg.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 (neg.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 (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 (neg.f64 x))) (log.f64 (neg.f64 x))))))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.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 (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 (/.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)))))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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)))) (fma.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 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.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))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (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 (sinh.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))))) |
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (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 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (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 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal -1/2 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 (*.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 (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 (neg.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (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 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (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 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.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 (sinh.f64 x) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (sinh.f64 x)) |
Compiled 8 058 to 1 486 computations (81.6% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 434 | 7 | 441 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 434 | 8 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 51.9% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.8% | (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)))) | |
| ▶ | 50.8% | (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)))) |
| ▶ | 50.6% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 96.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 223 to 150 computations (32.7% 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 | 89 | 232 |
| 2 | 277 | 232 |
| 3 | 1133 | 232 |
| 4 | 3679 | 232 |
| 0 | 8356 | 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 | 0.01171875 | (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 | 0.01953125 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 2.0958997165588915 | #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 | 30.808547373480135 | (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 | 0.01953125 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.1798470363173035 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 30.808547373480135 | (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 | 0.125 | (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.3671875 | (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.287322080044978 | #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 | 2.3970549209025203 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.375 | (*.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 | 2.0098439601156044 | #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)) |
| 181.0ms | 162× | 2 | valid |
| 87.0ms | 82× | 1 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 409 to 56 computations (86.3% saved)
const: 53.0ms (23.7% of total)adjust: 46.0ms (20.6% of total)ival-log: 36.0ms (16.1% of total)ival-mult: 29.0ms (13% of total)ival-add: 23.0ms (10.3% of total)ival-sinh: 19.0ms (8.5% of total)ival-div: 17.0ms (7.6% 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 | |
|---|---|---|---|---|
| 14.0ms | 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)) |
| 10.0ms | 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 | 325 | 436 |
| 2 | 971 | 436 |
| 3 | 3945 | 436 |
| 0 | 8300 | 406 |
| 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 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/2835 binary64))) |
(* (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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/180 (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 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/2835 binary64))) |
(* -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 | 171 | 204 |
| 2 | 1252 | 204 |
| 0 | 8226 | 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)) |
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(+.f64 (/.f64 (*.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) (/.f64 #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 (*.f64 x x) #s(literal -1/510300 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 (*.f64 x x) #s(literal 1/2835 binary64) #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))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(+.f64 #s(literal -1/180 binary64) (neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2835 binary64) x)) x))) |
(+.f64 #s(literal -1/180 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2835 binary64)))) |
(+.f64 #s(literal -1/180 binary64) (neg.f64 (*.f64 #s(literal -1/2835 binary64) (*.f64 x x)))) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
Compiled 24 018 to 3 486 computations (85.5% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 713 | 9 | 722 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 714 | 16 | 730 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 51.9% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.8% | (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)))) | |
| ✓ | 50.8% | (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)))) |
| ✓ | 50.6% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 2.4% | (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)))) |
| 96.2% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 96.3% | #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))))) | |
| 96.6% | #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))) | |
| ▶ | 96.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| ▶ | 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 96.1% | #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))) | |
| ▶ | 96.3% | #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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 96.0% | #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)) |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 509 to 339 computations (33.4% 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 #s(literal -1/180 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) 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 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 392 |
| 0 | 72 | 373 |
| 1 | 138 | 373 |
| 2 | 373 | 373 |
| 3 | 1528 | 373 |
| 4 | 4735 | 373 |
| 0 | 8173 | 363 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(*.f64 #s(literal 1/6 binary64) 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)) |
(*.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 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
x |
(*.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(*.f64 #s(literal 1/6 binary64) 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)) |
(*.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 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #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))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
x |
(*.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 #s(literal -1/180 binary64) (*.f64 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 #s(literal -1/180 binary64) (*.f64 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 #s(literal -1/180 binary64) (*.f64 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))) |
#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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3671875 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.0958997165588915 | #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 | 30.808547373480135 | (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 | 59.73088340043678 | #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 | 0.125 | (*.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 | 2.287322080044978 | #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 | 0.125 | (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x) | |
| accuracy | 0.18359375 | (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) | |
| accuracy | 0.3671875 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 2.287322080044978 | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.375 | (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.0098439601156044 | #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 | 2.462637144796254 | #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) | |
| accuracy | 0.21484375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) | |
| accuracy | 0.3671875 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 2.0098439601156044 | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 197.0ms | 162× | 2 | valid |
| 53.0ms | 82× | 1 | valid |
| 4.0ms | 12× | 0 | valid |
Compiled 677 to 90 computations (86.7% saved)
ival-mult: 65.0ms (30.4% of total)ival-log: 38.0ms (17.8% of total)ival-add: 30.0ms (14% of total)adjust: 26.0ms (12.2% of total)ival-sinh: 22.0ms (10.3% of total)const: 19.0ms (8.9% of total)ival-div: 13.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.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 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 #s(literal -1/180 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)))) |
#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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #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 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 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)))) |
(* -1/180 (pow x 2)) |
(* (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))) |
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 (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (+ 1/6 (* 1/120 (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))))) |
(+ (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))))) |
(* -1/180 (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))))) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (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))))) |
(* -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)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((+ (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) x) (* 1/6 x)) x) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* 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) (* (+ (* (* x x) 1/2835) -1/180) x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x)) |
| 11.0ms | x | @ | inf | ((+ (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) x) (* 1/6 x)) x) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* 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) (* (+ (* (* x x) 1/2835) -1/180) x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x)) |
| 7.0ms | x | @ | 0 | ((+ (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) x) (* 1/6 x)) x) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* 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) (* (+ (* (* x x) 1/2835) -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 | 151 | 585 |
| 1 | 474 | 584 |
| 2 | 1504 | 577 |
| 3 | 6250 | 577 |
| 0 | 8171 | 548 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (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)))) |
(* -1/180 (pow x 2)) |
(* (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))) |
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 (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (+ 1/6 (* 1/120 (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))))) |
(+ (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))))) |
(* -1/180 (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))))) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (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))))) |
(* -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)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
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 |
#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 (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #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) |
(* 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 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 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 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 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 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ -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 -5400 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -162000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 180 binary64))) (*.f64 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 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/2835 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) |
(* 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 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 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 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 349 |
| 0 | 72 | 330 |
| 1 | 261 | 330 |
| 2 | 1702 | 330 |
| 0 | 8174 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.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 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 #s(literal -1/180 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)))) |
#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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #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 |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 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 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 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 (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)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.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 6 binary64))) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.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 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (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 6 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 #s(literal -1/6 binary64) x)))))) |
(*.f64 (neg.f64 (-.f64 (*.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 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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 6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))))))))) |
(*.f64 (-.f64 (*.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 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.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 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 #s(literal 1/6 binary64) x)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (pow.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 6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64))) |
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(/.f64 #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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #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 #s(literal -1/180 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/180 binary64) x)) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/180 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/180 binary64) x)) x)) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/180 binary64))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1/216 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x)) (neg.f64 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 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 26 125 to 3 412 computations (86.9% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 6 | 724 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 720 | 20 | 740 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 51.9% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.8% | (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)))) | |
| ✓ | 50.8% | (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)))) |
| ✓ | 50.6% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 2.4% | (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)))) |
| 96.0% | #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) (pow.f64 x #s(literal -1 binary64)))) | |
| 96.3% | #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))))) | |
| ▶ | 96.5% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) |
| ▶ | 96.6% | #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))) |
| ✓ | 96.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| ✓ | 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 96.1% | #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))) | |
| 96.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (fabs.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) x)) | |
| ▶ | 96.7% | #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)) |
| ▶ | 96.1% | #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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 96.0% | #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)) |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 36.6% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
Compiled 625 to 429 computations (31.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) 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))) | |
| 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 | 47 | 427 |
| 0 | 72 | 417 |
| 1 | 141 | 417 |
| 2 | 348 | 417 |
| 3 | 1359 | 417 |
| 4 | 4712 | 417 |
| 0 | 8228 | 406 |
| 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)) (*.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 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
#s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 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)) (*.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 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) 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 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) 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 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) 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 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)) |
(*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x) |
#s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 2.287322080044978 | #s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) | |
| accuracy | 37.96675462130938 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.21484375 | (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) | |
| accuracy | 0.296875 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) | |
| accuracy | 0.375 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) | |
| accuracy | 2.0098439601156044 | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) | |
| accuracy | 0.20703125 | (*.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 | 2.0098439601156044 | #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))) | |
| accuracy | 0.00390625 | (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) | |
| accuracy | 0.125 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) | |
| accuracy | 2.287322080044978 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) | |
| accuracy | 2.682691726436505 | #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) | |
| accuracy | 0.125 | (*.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 | 2.2735251778784535 | #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) | |
| accuracy | 2.287322080044978 | #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)) |
| 252.0ms | 162× | 2 | valid |
| 63.0ms | 82× | 1 | valid |
| 8.0ms | 12× | 0 | valid |
Compiled 724 to 93 computations (87.2% saved)
adjust: 64.0ms (23.9% of total)ival-log: 64.0ms (23.9% of total)ival-mult: 38.0ms (14.2% of total)const: 30.0ms (11.2% of total)ival-div: 25.0ms (9.3% of total)ival-add: 22.0ms (8.2% of total)ival-sinh: 19.0ms (7.1% of total)ival-pow: 3.0ms (1.1% of total)ival-sub: 2.0ms (0.7% of total)exact: 1.0ms (0.4% 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)) |
#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 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
#s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x 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 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))))))) |
1/6 |
(+ 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) |
(/ 6 x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(/ 1/6 (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)) |
(* 1/2835 (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))))) |
(/ 2835 (pow x 5)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)) |
(* 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))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -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 (pow x 2))) 1/2835))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | 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)) (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) (/ x (/ 1 (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x))) (log (/ (sinh x) x)) (/ 1 (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x)) (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (* (- (/ 1/6 (* x x)) 1/180) (pow x 3)) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/2835 (* x x)) -1/180) x) (/ 1/6 (* x x))) |
| 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)) (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) (/ x (/ 1 (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x))) (log (/ (sinh x) x)) (/ 1 (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x)) (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (* (- (/ 1/6 (* x x)) 1/180) (pow x 3)) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/2835 (* x x)) -1/180) x) (/ 1/6 (* x x))) |
| 3.0ms | 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)) (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) (/ x (/ 1 (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x))) (log (/ (sinh x) x)) (/ 1 (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x)) (* (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6) x) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (* (- (/ 1/6 (* x x)) 1/180) (pow x 3)) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/2835 (* x x)) -1/180) x) (/ 1/6 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 619 |
| 1 | 527 | 617 |
| 2 | 1671 | 613 |
| 3 | 7065 | 613 |
| 0 | 8347 | 583 |
| 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))))))) |
1/6 |
(+ 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) |
(/ 6 x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(/ 1/6 (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)) |
(* 1/2835 (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))))) |
(/ 2835 (pow x 5)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)) |
(* 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))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -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 (pow x 2))) 1/2835))) |
| 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)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #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 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(/ 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 (* -19/3150 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -19/3150 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) (- (* -59/94500 (pow x 2)) 19/3150))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 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) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x 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)) |
(* -1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1/180 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(/ -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 -5400 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -162000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 180 binary64))) (*.f64 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)) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 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)) |
(/ 2835 (pow x 5)) |
(/.f64 #s(literal 2835 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5)) |
(/.f64 (-.f64 (-.f64 #s(literal 2835 binary64) (/.f64 #s(literal 10180485/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -178605/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (*.f64 x x)) #s(literal 10180485/16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* 1/5 (pow x 2)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/2835 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 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 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (-.f64 (-.f64 #s(literal 2835 binary64) (/.f64 #s(literal 10180485/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -178605/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (-.f64 (/.f64 #s(literal -1991624355/64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 10180485/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2835 binary64)) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 370 |
| 0 | 72 | 360 |
| 1 | 299 | 360 |
| 2 | 1779 | 360 |
| 0 | 8203 | 345 |
| 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)) |
#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 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
#s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 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 (neg.f64 (neg.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 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 (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 (neg.f64 x) (/.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 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 (neg.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 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 (*.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 #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 (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 (*.f64 x x) (neg.f64 (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 (*.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 (/.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 (*.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 (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) (pow.f64 (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)))) #s(literal -1 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 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (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 (neg.f64 x)) (neg.f64 (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 (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 (/.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)))) #s(literal 1 binary64)) |
(/.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))))) |
(neg.f64 (/.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 (/.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 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)))))) |
(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))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (*.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) (-.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/180 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) #s(literal 3 binary64)) (*.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (-.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 #s(literal -1/180 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x))))) |
(/.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (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 (*.f64 x x) #s(literal -1/510300 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) x) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (*.f64 x (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 (*.f64 x (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 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #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)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 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)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))) (*.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/180 binary64) x)) |
(fma.f64 #s(literal -1/180 binary64) x (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/180 binary64) x (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (*.f64 #s(literal -1/180 binary64) x)) |
(fma.f64 x #s(literal -1/180 binary64) (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x)) |
(fma.f64 x #s(literal -1/180 binary64) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/180 binary64) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 #s(literal -1/180 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) x)) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/6 binary64) (fabs.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x))) x) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) x) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) x)) x) |
(/.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x) |
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)))) |
(/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64))) |
(fabs.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fabs.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
Compiled 18 025 to 2 547 computations (85.9% saved)
20 alts after pruning (8 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 6 | 512 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 512 | 20 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 51.9% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.8% | (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)))) | |
| ✓ | 50.8% | (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)))) |
| ✓ | 50.6% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 2.4% | (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)))) |
| 96.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))) | |
| 96.1% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x))) | |
| ✓ | 96.6% | #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))) |
| ✓ | 96.6% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| ✓ | 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 96.1% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/2835) -1/180) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ✓ | 96.7% | #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)) |
| 3.9% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(approx (+ (* 1/5 (* x x)) 6) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))) x)) | |
| ✓ | 96.1% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
| 96.1% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)) x)) | |
| ✓ | 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 96.0% | #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)) |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 49.2% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) x) (*.f64 x x))) x)) |
Compiled 1 018 to 456 computations (55.2% 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 #s(approx (+ (* (* x x) 1/2835) -1/180) #s(literal -1/180 binary64)) (*.f64 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 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(approx (+ (* 1/5 (* x x)) 6) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 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 (*.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 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) 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))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 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) (pow.f64 x #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 (fma.f64 #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 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) x) (*.f64 x x))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (fabs.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) x)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 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)) |
3 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (sinh.f64 x) x) |
| 7.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | x |
| 96.7% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.7% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 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 #s(approx (+ (* (* x x) 1/2835) -1/180) #s(literal -1/180 binary64)) (*.f64 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 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(approx (+ (* 1/5 (* x x)) 6) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 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:
| 4.0ms | x |
| 3.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 3.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | x |
| 96.2% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.2% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#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 | (/.f64 (sinh.f64 x) x) |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 96.1% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.1% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | x |
| 96.0% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.0% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | x |
| 96.0% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.0% | 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 | 38 | 99 |
| 1 | 48 | 99 |
| 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 (*.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 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.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 (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 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 187 |
| 1 | 191 | 186 |
| 2 | 615 | 180 |
| 3 | 2865 | 180 |
| 4 | 6722 | 180 |
| 0 | 8160 | 162 |
| 0 | 28 | 204 |
| 0 | 47 | 204 |
| 1 | 171 | 204 |
| 2 | 1252 | 204 |
| 0 | 8226 | 204 |
| 0 | 109 | 437 |
| 1 | 325 | 436 |
| 2 | 971 | 436 |
| 3 | 3945 | 436 |
| 0 | 8300 | 406 |
| 0 | 151 | 585 |
| 1 | 474 | 584 |
| 2 | 1504 | 577 |
| 3 | 6250 | 577 |
| 0 | 8171 | 548 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 203 to 113 computations (44.3% saved)
(abs x)
Compiled 320 to 160 computations (50% saved)
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