
Time bar (total: 10.4s)
| 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)
| 2.3s | 5 528× | 2 | valid |
| 888.0ms | 7 748× | 1 | exit |
| 772.0ms | 2 367× | 1 | valid |
| 21.0ms | 361× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
ival-log: 1.8s (56.5% of total)ival-sinh: 825.0ms (26% of total)ival-div: 277.0ms (8.7% of total)adjust: 254.0ms (8% of total)ival-true: 14.0ms (0.4% of total)ival-assert: 8.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 148 | 105 | (-8.295717242726883e-208) | 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 | 249 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 4 | 0 |
| ↳ | (sinh.f64 x) | overflow | 4 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 148 | 0 |
| - | 105 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 148 | 0 | 0 |
| - | 105 | 0 | 3 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 182.0ms | 322× | 2 | valid |
| 28.0ms | 176× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 33 to 16 computations (51.5% saved)
ival-log: 83.0ms (44.3% of total)ival-div: 50.0ms (26.7% of total)ival-sinh: 45.0ms (24% of total)adjust: 9.0ms (4.8% of total)ival-true: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 14 | 15 |
| 2 | 40 | 15 |
| 3 | 104 | 15 |
| 4 | 503 | 15 |
| 5 | 3756 | 11 |
| 0 | 4 | 5 |
| 0 | 7 | 5 |
| 1 | 13 | 5 |
| 2 | 27 | 5 |
| 3 | 66 | 5 |
| 4 | 264 | 5 |
| 5 | 1642 | 5 |
| 6 | 3850 | 5 |
| 0 | 8824 | 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 |
|---|---|---|
| ▶ | 45.6% | (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 | 27 | 12 |
| 3 | 66 | 12 |
| 4 | 264 | 12 |
| 5 | 1642 | 12 |
| 6 | 3850 | 12 |
| 0 | 8824 | 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 | (sinh.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 34.821997224058556 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 65.0ms | 161× | 2 | valid |
| 25.0ms | 88× | 1 | valid |
| 0.0ms | 7× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 50.0ms (63.1% of total)ival-sinh: 19.0ms (24% of total)ival-div: 5.0ms (6.3% of total)adjust: 4.0ms (5.1% 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 | |
|---|---|---|---|---|
| 46.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 26.0ms | 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 | 186 | 187 |
| 2 | 548 | 181 |
| 3 | 2333 | 181 |
| 4 | 6693 | 181 |
| 0 | 8015 | 165 |
| 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 (-.f64 (*.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 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
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 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 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)))) |
(* 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 | 18 | 11 |
| 2 | 77 | 11 |
| 3 | 528 | 11 |
| 4 | 7253 | 11 |
| 0 | 8576 | 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 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) (-.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)))) |
(*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(*.f64 (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.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 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (neg.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)))) (neg.f64 (log.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 x)))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 x)))) (pow.f64 (log.f64 (sinh.f64 (neg.f64 x))) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (sinh.f64 x) x) |
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 x)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) |
(+.f64 (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (sinh.f64 x)) |
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (neg.f64 (cosh.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 x)) #s(literal -4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (cosh.f64 x)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 x) |
(neg.f64 (sinh.f64 (neg.f64 x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)))) |
(-.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (cosh.f64 x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #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 -2 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #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 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
Compiled 4 294 to 813 computations (81.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 7 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 8 | 195 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) | |
| ✓ | 45.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 44.9% | (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)))) | |
| ▶ | 44.8% | (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)))) |
| ▶ | 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 97.1% | #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)) |
| ▶ | 97.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 237 to 158 computations (33.3% 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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 | 30 | 242 |
| 0 | 49 | 242 |
| 1 | 89 | 242 |
| 2 | 255 | 242 |
| 3 | 840 | 242 |
| 4 | 2322 | 242 |
| 5 | 5134 | 242 |
| 0 | 8114 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
#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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 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 | 0.00390625 | (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 | 0.01171875 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 1.5782048065512246 | #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 | 34.821997224058556 | (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 | 0.0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 1.5991755223576642 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 34.821997224058556 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.29296875 | (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 1.658512570258503 | #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 | 0.0 | (*.f64 x x) | |
| accuracy | 0.24609375 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 1.5589882401014281 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 | 0.27734375 | (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) | |
| accuracy | 0.30078125 | (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 1.5141333997138877 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 238.0ms | 161× | 2 | valid |
| 47.0ms | 88× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 182 to 29 computations (84.1% saved)
ival-div: 37.0ms (21.5% of total)ival-log: 34.0ms (19.7% of total)ival-mult: 28.0ms (16.3% of total)const: 22.0ms (12.8% of total)adjust: 19.0ms (11% of total)ival-sinh: 19.0ms (11% of total)ival-add: 10.0ms (5.8% of total)ival-sub: 2.0ms (1.2% 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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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)) |
(*.f64 #s(literal 1/2835 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)))) |
(* 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))) |
(* 1/2835 (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 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))))) |
(+ (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 | |
|---|---|---|---|---|
| 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))) |
| 9.0ms | 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))) |
| 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 430 |
| 1 | 308 | 430 |
| 2 | 820 | 430 |
| 3 | 2893 | 430 |
| 0 | 8309 | 409 |
| 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))) |
(* 1/2835 (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 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))))) |
(+ (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)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (-.f64 (*.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 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (-.f64 (*.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 (*.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)) 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)) |
(* 1/2835 (pow x 2)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) |
(* 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 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)))) |
(* 1/2835 (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 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))) |
(* -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)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(* 1/120 (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))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (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)) |
(+ (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 (neg.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))) (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 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 207 |
| 0 | 49 | 207 |
| 1 | 167 | 207 |
| 2 | 1110 | 207 |
| 0 | 8238 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) |
(neg.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) x)) |
(neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x) x)) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)) x)) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x))) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 x (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)))) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x))) |
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(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.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)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)) x #s(literal 1/6 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -1/120 binary64) x) (neg.f64 x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/120 binary64) x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)) #s(literal 1/6 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) x)) x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/2835 binary64))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2835 binary64) x)) x) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1/2835 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/2835 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2835 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/2835 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/2835 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/2835 binary64) x)) |
(neg.f64 (*.f64 #s(literal -1/2835 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64))) |
(fabs.f64 (*.f64 #s(literal -1/2835 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
Compiled 22 952 to 2 826 computations (87.7% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 751 | 10 | 761 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 752 | 17 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) | |
| ✓ | 45.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 44.9% | (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)))) | |
| 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| ✓ | 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 44.4% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
| 97.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) | |
| ▶ | 97.1% | #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)) |
| ▶ | 97.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
| 97.1% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)) | |
| ✓ | 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 97.1% | #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)) |
| ▶ | 97.3% | #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)) |
| 56.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) | |
| ✓ | 97.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 73.3% | #s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) | |
| ▶ | 32.2% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 632 to 420 computations (33.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) | |
| cost-diff | 6 | (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) | |
| 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 | 2 | (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 489 |
| 0 | 77 | 478 |
| 1 | 152 | 452 |
| 2 | 482 | 434 |
| 3 | 2449 | 420 |
| 4 | 7520 | 420 |
| 0 | 8225 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 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 4 binary64)) |
#s(literal 4 binary64) |
| 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)) |
(*.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 (*.f64 x x) #s(literal -1/180 binary64) #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 (*.f64 x x) #s(literal -1/180 binary64) #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 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
#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 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.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) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 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 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 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 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 1.658512570258503 | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 41.266664323733565 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.13671875 | (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) | |
| accuracy | 1.5782048065512246 | #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 34.821997224058556 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 60.42201836947079 | #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) | |
| accuracy | 0.2506637695368841 | (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) | |
| accuracy | 0.28515625 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 1.658512570258503 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) | |
| accuracy | 24.655690858718987 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) | |
| accuracy | 0.109375 | (*.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 | 0.28515625 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 1.658512570258503 | #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 | 0.11328125 | (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.30078125 | (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 1.5141333997138877 | #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 | 1.600223869330052 | #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
| 202.0ms | 161× | 2 | valid |
| 61.0ms | 88× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 333 to 43 computations (87.1% saved)
ival-log: 62.0ms (27.6% of total)const: 40.0ms (17.8% of total)ival-mult: 38.0ms (16.9% of total)adjust: 31.0ms (13.8% of total)ival-sinh: 19.0ms (8.5% of total)ival-div: 12.0ms (5.4% of total)ival-add: 10.0ms (4.5% of total)ival-sub: 8.0ms (3.6% of total)ival-pow: 3.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #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 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x 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)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* -1/180 (pow x 2)) |
(* 1/32400 (pow x 6)) |
(* -1/180 (pow x 3)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
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))) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/120 (pow x 2)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 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))))) |
(* (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)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* 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))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
-1/180 |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(+ (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 | |
|---|---|---|---|---|
| 16.0ms | 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) (+ (* (* -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)) (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (* (* -1/180 (* x x)) x) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (* 1/6 x) (log (/ (sinh x) x)) (* 1/36 (* x x)) (* 1/120 (* x x)) (/ 1/6 (* x x))) |
| 11.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (+ (* (* -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)) (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (* (* -1/180 (* x x)) x) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (* 1/6 x) (log (/ (sinh x) x)) (* 1/36 (* x x)) (* 1/120 (* x x)) (/ 1/6 (* x x))) |
| 4.0ms | 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) (+ (* (* -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)) (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (* (* -1/180 (* x x)) x) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (* 1/6 x) (log (/ (sinh x) x)) (* 1/36 (* x x)) (* 1/120 (* x x)) (/ 1/6 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 467 |
| 1 | 325 | 467 |
| 2 | 861 | 459 |
| 3 | 3092 | 459 |
| 0 | 8429 | 435 |
| 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))) |
(* -1/180 (pow x 2)) |
(* 1/32400 (pow x 6)) |
(* -1/180 (pow x 3)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
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))) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/120 (pow x 2)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 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))))) |
(* (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)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* 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))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
-1/180 |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(+ (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)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* 1/32400 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) |
(* -1/180 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(* -1/36 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/36 binary64) x) x) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) 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 (*.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 (*.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)) x) x #s(literal 1 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) |
(* 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 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)))) |
(* 1/2835 (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))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
(* -1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/2 (/ (- (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))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(-.f64 (/.f64 #s(literal 1/6 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 (neg.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))) (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 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 404 |
| 0 | 77 | 341 |
| 1 | 265 | 333 |
| 2 | 1889 | 331 |
| 0 | 8479 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 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)) |
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))) |
(*.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)) (*.f64 x x)) |
(*.f64 x (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)) |
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
(*.f64 x #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))) |
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)))))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) (/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) (/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))))) |
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(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/32400 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (fma.f64 (/.f64 #s(literal 1/32400 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (/.f64 #s(literal 1/32400 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (/.f64 #s(literal 1/32400 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/5832000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/5832000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/5832000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/5832000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 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)) #s(literal 1/32400 binary64))) (*.f64 (+.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 (-.f64 (*.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x))) #s(literal 1/5832000 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (/.f64 #s(literal 1/32400 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/5832000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/36 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1/6 binary64)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/36 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/36 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/6 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (neg.f64 (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/36 binary64))) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/6 binary64) (fabs.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/36 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/36 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/36 binary64) x)) |
(pow.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/120 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/120 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(/.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 1/6 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 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))) |
Compiled 32 053 to 3 601 computations (88.8% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 769 | 5 | 774 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 771 | 20 | 791 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) | |
| ✓ | 45.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| ▶ | 44.9% | (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)))) |
| 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| ✓ | 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 44.4% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
| 97.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) | |
| ✓ | 97.1% | #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)) |
| 97.1% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)) | |
| ▶ | 97.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
| ▶ | 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
| ✓ | 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 97.1% | #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)) |
| 97.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))))) | |
| ✓ | 97.3% | #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)) |
| ▶ | 56.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
| ✓ | 97.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 73.3% | #s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) | |
| ✓ | 32.2% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
| ▶ | 32.4% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 746 to 484 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 1 | (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) | |
| cost-diff | 6 | (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.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 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) | |
| cost-diff | 1 | (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 713 |
| 0 | 95 | 697 |
| 1 | 183 | 665 |
| 2 | 585 | 621 |
| 3 | 3188 | 601 |
| 0 | 8153 | 579 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x) |
(/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -1/36 binary64) x) x) |
(*.f64 #s(literal -1/36 binary64) x) |
#s(literal -1/36 binary64) |
x |
(-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) |
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) |
(-.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) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.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 x x) (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x) |
(*.f64 (/.f64 x x) (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) x)) |
#s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) |
#s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 #s(literal -1/36 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -1/36 binary64)) |
(*.f64 #s(literal -1/36 binary64) x) |
#s(literal -1/36 binary64) |
x |
(-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal -1/180 binary64) |
(*.f64 x x) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 x x)) |
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) |
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) |
(-.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) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.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 x x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) x)) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal -1/32400 binary64) (pow.f64 x #s(literal 6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(*.f64 (*.f64 #s(literal 1/180 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal -1/180 binary64) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.0234375 | (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)) | |
| accuracy | 1.5537908215737855 | #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))) | |
| accuracy | 34.821997224058556 | (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)))) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 1.658512570258503 | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 1.7460619762854548 | #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| accuracy | 41.266664323733565 | (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.2506637695368841 | (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) | |
| accuracy | 0.28515625 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 1.4936812346118171 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) | |
| accuracy | 24.659597108718987 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) | |
| accuracy | 0.29296875 | (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) | |
| accuracy | 0.3125 | (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) | |
| accuracy | 1.658512570258503 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) | |
| accuracy | 24.56715190936932 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) | |
| accuracy | 0.34765625 | (*.f64 #s(literal -1/36 binary64) x) | |
| accuracy | 1.6540334999424995 | #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) | |
| accuracy | 1.658512570258503 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) | |
| accuracy | 24.655690858718987 | (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
| 211.0ms | 161× | 2 | valid |
| 74.0ms | 88× | 1 | valid |
| 3.0ms | 7× | 0 | valid |
Compiled 471 to 48 computations (89.8% saved)
ival-sub: 46.0ms (19.4% of total)ival-mult: 44.0ms (18.6% of total)ival-log: 43.0ms (18.1% of total)const: 31.0ms (13.1% of total)adjust: 28.0ms (11.8% of total)ival-sinh: 19.0ms (8% of total)ival-div: 15.0ms (6.3% of total)ival-add: 8.0ms (3.4% of total)ival-pow: 3.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(-.f64 (*.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 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.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(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) |
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (/ (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))) |
(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)) |
(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 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) |
(*.f64 #s(literal -1/36 binary64) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
| Outputs |
|---|
(* -1/180 (pow x 3)) |
(* -1/6 x) |
(* x (- (* -1/180 (pow x 2)) 1/6)) |
(* 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)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/32400 (pow x 6)) |
(* 1/180 (pow x 3)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* -1/32400 (pow x 4)) 1/36)) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (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))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* -1/36 x) |
(/ 1/6 x) |
(/ (+ 1/6 (* -1/180 (pow x 2))) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2700 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2700 (* -1/81000 (pow x 2)))) 1/180)))) |
(* 1/36 (pow x 2)) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* -1 (* (pow x 3) (+ 1/180 (* 1/6 (/ 1 (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)) |
(* (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 (* (pow x 6) (+ 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
-1/180 |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/32400 (pow x 6)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* -1/180 x) |
(* x (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ 1/180 (/ 10 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ 1/180 (/ 10 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 300 (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 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 (* x (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/180 (/ 10 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow x 2))) (* 300 (/ 1 (pow x 6)))) (+ 1/180 (/ 10 (pow x 4)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | ((* (* -1/180 (* x x)) x) (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* 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) (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* (* (* x x) 1/180) x) (- (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (* -1/36 x) (* (- (/ 1/6 (* x x)) 1/180) x) (* (* (- (/ 1/6 (* x x)) 1/180) x) x) (/ (- (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (log (/ (sinh x) x)) (* 1/6 x) (* 1/36 (* x x)) (/ 1/6 (* x x)) (+ (* 1/5040 (* x x)) 1/120)) |
| 12.0ms | x | @ | -inf | ((* (* -1/180 (* x x)) x) (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* 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) (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* (* (* x x) 1/180) x) (- (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (* -1/36 x) (* (- (/ 1/6 (* x x)) 1/180) x) (* (* (- (/ 1/6 (* x x)) 1/180) x) x) (/ (- (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (log (/ (sinh x) x)) (* 1/6 x) (* 1/36 (* x x)) (/ 1/6 (* x x)) (+ (* 1/5040 (* x x)) 1/120)) |
| 4.0ms | x | @ | 0 | ((* (* -1/180 (* x x)) x) (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* 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) (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* (* (* x x) 1/180) x) (- (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (* -1/36 x) (* (- (/ 1/6 (* x x)) 1/180) x) (* (* (- (/ 1/6 (* x x)) 1/180) x) x) (/ (- (* (* (* (* x x) 1/180) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (log (/ (sinh x) x)) (* 1/6 x) (* 1/36 (* x x)) (/ 1/6 (* x x)) (+ (* 1/5040 (* x x)) 1/120)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 628 |
| 1 | 467 | 628 |
| 2 | 1363 | 606 |
| 3 | 5074 | 606 |
| 0 | 8264 | 576 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/180 (pow x 3)) |
(* -1/6 x) |
(* x (- (* -1/180 (pow x 2)) 1/6)) |
(* 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)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/32400 (pow x 6)) |
(* 1/180 (pow x 3)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* -1/32400 (pow x 4)) 1/36)) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (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))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* -1/36 x) |
(/ 1/6 x) |
(/ (+ 1/6 (* -1/180 (pow x 2))) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2700 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2700 (* -1/81000 (pow x 2)))) 1/180)))) |
(* 1/36 (pow x 2)) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* -1 (* (pow x 3) (+ 1/180 (* 1/6 (/ 1 (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)) |
(* (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 (* (pow x 6) (+ 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
-1/180 |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/32400 (pow x 6)) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* -1/180 x) |
(* x (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ 1/180 (/ 10 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ 1/180 (/ 10 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 300 (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 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 (* x (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/180 (/ 10 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow x 2))) (* 300 (/ 1 (pow x 6)))) (+ 1/180 (/ 10 (pow x 4)))))) |
| Outputs |
|---|
(* -1/180 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* -1/180 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) 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 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(* -1/32400 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/32400 binary64)) |
(* 1/180 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64)) |
(* -1/36 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/36 binary64) x) x) |
(* (pow x 2) (- (* -1/32400 (pow x 4)) 1/36)) |
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) #s(literal 1/36 binary64)) x) x) |
(/ 1/6 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(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)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) x) |
(* -1/36 x) |
(*.f64 #s(literal -1/36 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ (+ 1/6 (* -1/180 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2700 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2700 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2700 (* -1/81000 (pow x 2)))) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/81000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2700 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 3) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)) x) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 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 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) |
(* -1 (* (pow x 6) (+ 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 #s(literal -1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 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)))) |
(* 1/5040 (pow x 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/32400 (pow x 6)) |
(*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* x (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)) x) |
(* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64))) |
(* (pow x 3) (- (+ 1/180 (/ 10 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- (+ 1/180 (/ 10 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 300 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (/.f64 #s(literal 300 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/5040 (pow x 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 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)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(* -1 (* x (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/180 (/ 10 (pow x 4)))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow x 2))) (* 300 (/ 1 (pow x 6)))) (+ 1/180 (/ 10 (pow x 4)))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 300 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 587 |
| 0 | 95 | 551 |
| 1 | 297 | 511 |
| 2 | 2029 | 467 |
| 0 | 8425 | 450 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) |
(-.f64 (*.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 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.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(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) |
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (/ (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))) |
(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)) |
(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 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) |
(*.f64 #s(literal -1/36 binary64) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
| Outputs |
|---|
(*.f64 (fabs.f64 (*.f64 #s(literal 1/180 binary64) x)) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x))) x) |
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(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/5040 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) |
Compiled 48 265 to 5 062 computations (89.5% saved)
23 alts after pruning (12 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 114 | 8 | 1 122 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 8 | 9 |
| Total | 1 119 | 23 | 1 142 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) | |
| ✓ | 45.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| ✓ | 44.9% | (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)))) |
| 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* x x)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) | |
| ✓ | 44.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 44.4% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
| 97.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) | |
| 80.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) x) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64))))) | |
| ✓ | 97.1% | #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)) |
| 97.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) | |
| 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) x)) | |
| 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) | |
| 97.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) #s(approx (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 #s(literal -1/6 binary64) x))) x)) | |
| ✓ | 97.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 97.1% | #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)) |
| ✓ | 97.3% | #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)) |
| ✓ | 56.5% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
| 97.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 1/180) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x)) | |
| ✓ | 97.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 97.3% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (/.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))))) | |
| 73.3% | #s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) | |
| ✓ | 32.4% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 1 482 to 583 computations (60.7% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 1/180) x) (/.f64 #s(literal 1/6 binary64) x)) 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(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) #s(approx (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 #s(literal -1/6 binary64) x))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (/.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) x) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))) |
(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)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* x x)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal -1/6 binary64)))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) |
3 calls:
| 80.0ms | (/.f64 (sinh.f64 x) x) |
| 8.0ms | x |
| 6.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (/.f64 (sinh.f64 x) x) |
| 97.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 97.4% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 1/180) x) (/.f64 #s(literal 1/6 binary64) x)) 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(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) #s(approx (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 #s(literal -1/6 binary64) x))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (/.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 16.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (/.f64 (sinh.f64 x) x) |
| 97.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 97.4% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 1/180) x) (/.f64 #s(literal 1/6 binary64) x)) 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(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) #s(approx (- (* (* -1/180 (* x x)) x) (* 1/6 x)) (*.f64 #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:
| 2.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | (/.f64 (sinh.f64 x) x) |
| 97.3% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 97.3% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | (/.f64 (sinh.f64 x) x) |
| 97.2% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 97.2% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 102 |
| 1 | 83 | 98 |
| 2 | 285 | 96 |
| 3 | 1280 | 96 |
| 4 | 3584 | 96 |
| 5 | 7481 | 96 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 #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 #s(approx (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (*.f64 (*.f64 #s(literal -1/36 binary64) x) x)) (*.f64 x (fma.f64 (*.f64 x #s(literal -1/180 binary64)) x #s(literal -1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 #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 | 30 | 207 |
| 0 | 49 | 207 |
| 1 | 167 | 207 |
| 2 | 1110 | 207 |
| 0 | 8238 | 207 |
| 0 | 59 | 187 |
| 1 | 186 | 187 |
| 2 | 548 | 181 |
| 3 | 2333 | 181 |
| 4 | 6693 | 181 |
| 0 | 8015 | 165 |
| 0 | 61 | 587 |
| 0 | 95 | 551 |
| 1 | 297 | 511 |
| 2 | 2029 | 467 |
| 0 | 8425 | 450 |
| 0 | 119 | 467 |
| 1 | 325 | 467 |
| 2 | 861 | 459 |
| 3 | 3092 | 459 |
| 0 | 8429 | 435 |
| 0 | 108 | 430 |
| 1 | 308 | 430 |
| 2 | 820 | 430 |
| 3 | 2893 | 430 |
| 0 | 8309 | 409 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 223 to 124 computations (44.4% saved)
(abs x)
Compiled 362 to 184 computations (49.2% saved)
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