
Time bar (total: 17.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.5s | 5 580× | 2 | valid |
| 700.0ms | 7 912× | 1 | exit |
| 346.0ms | 2 315× | 1 | valid |
| 24.0ms | 361× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
ival-log: 1.5s (53.6% of total)ival-sinh: 860.0ms (29.9% of total)ival-div: 238.0ms (8.3% of total)adjust: 214.0ms (7.4% of total)ival-true: 15.0ms (0.5% of total)ival-assert: 7.0ms (0.2% of total)| 1× | egg-herbie |
| 1 072× | accelerator-lowering-fma.f32 |
| 1 072× | accelerator-lowering-fma.f64 |
| 784× | *-lowering-*.f32 |
| 784× | *-lowering-*.f64 |
| 648× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 20 | 15 |
| 2 | 53 | 15 |
| 3 | 148 | 15 |
| 4 | 446 | 15 |
| 5 | 1346 | 15 |
| 6 | 2402 | 15 |
| 7 | 2924 | 15 |
| 8 | 3206 | 15 |
| 9 | 3244 | 15 |
| 10 | 3246 | 15 |
| 11 | 3246 | 15 |
| 0 | 4 | 5 |
| 1 | 10 | 5 |
| 2 | 23 | 5 |
| 3 | 49 | 5 |
| 4 | 89 | 5 |
| 5 | 174 | 5 |
| 6 | 370 | 5 |
| 7 | 646 | 5 |
| 8 | 1122 | 5 |
| 9 | 1839 | 5 |
| 10 | 1949 | 5 |
| 11 | 2011 | 5 |
| 12 | 2184 | 5 |
| 13 | 2384 | 5 |
| 14 | 2458 | 5 |
| 15 | 2494 | 5 |
| 16 | 2494 | 5 |
| 17 | 2518 | 5 |
| 0 | 2518 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log (/ (sinh x) x)) |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 122 | (-4.2382912587416046e-172) | 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 | 244 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 9 | 0 |
| ↳ | (sinh.f64 x) | overflow | 9 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 9 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 122 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 122 | 0 | 3 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 156.0ms | 338× | 2 | valid |
| 21.0ms | 138× | 1 | valid |
| 2.0ms | 36× | 0 | valid |
Compiled 40 to 20 computations (50% saved)
ival-log: 103.0ms (64.9% of total)ival-sinh: 38.0ms (23.9% of total)ival-div: 11.0ms (6.9% of total)adjust: 6.0ms (3.8% of total)ival-true: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 6 to 4 computations (33.3% 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)) |
| 1 072× | accelerator-lowering-fma.f32 |
| 1 072× | accelerator-lowering-fma.f64 |
| 784× | *-lowering-*.f32 |
| 784× | *-lowering-*.f64 |
| 602× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 1 | 10 | 12 |
| 2 | 23 | 12 |
| 3 | 49 | 12 |
| 4 | 89 | 12 |
| 5 | 174 | 12 |
| 6 | 370 | 12 |
| 7 | 646 | 12 |
| 8 | 1122 | 12 |
| 9 | 1839 | 12 |
| 10 | 1949 | 12 |
| 11 | 2011 | 12 |
| 12 | 2184 | 12 |
| 13 | 2384 | 12 |
| 14 | 2458 | 12 |
| 15 | 2494 | 12 |
| 16 | 2494 | 12 |
| 17 | 2518 | 12 |
| 0 | 2518 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(/ (sinh x) x) |
(sinh x) |
x |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/ (sinh x) x) |
(/.f64 (sinh.f64 x) x) |
(sinh x) |
(sinh.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 x) x) |
| ✓ | accuracy | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 65.0ms | 169× | 2 | valid |
| 13.0ms | 69× | 1 | valid |
| 1.0ms | 18× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 42.0ms (61% of total)ival-sinh: 18.0ms (26.1% of total)ival-div: 5.0ms (7.3% of total)adjust: 3.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (/ (sinh x) x))> |
#<alt (/ (sinh x) x)> |
#<alt (sinh x)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | x | @ | -inf | (log (/ (sinh x) x)) |
| 32.0ms | x | @ | inf | (log (/ (sinh x) x)) |
| 2.0ms | x | @ | 0 | (log (/ (sinh x) x)) |
| 0.0ms | x | @ | 0 | (/ (sinh x) x) |
| 0.0ms | x | @ | 0 | (sinh x) |
| 1× | batch-egg-rewrite |
| 4 024× | *-lowering-*.f32 |
| 4 024× | *-lowering-*.f64 |
| 3 684× | /-lowering-/.f32 |
| 3 684× | /-lowering-/.f64 |
| 2 016× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 1 | 20 | 11 |
| 2 | 121 | 11 |
| 3 | 926 | 11 |
| 0 | 8559 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(/ (sinh x) x) |
(sinh x) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 (sinh.f64 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (neg.f64 (log.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (log.f64 (*.f64 (+.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (log.f64 (*.f64 (+.f64 x x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (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 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (/.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 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))) (log.f64 #s(literal -2 binary64))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (sinh.f64 x))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
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(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal -2 binary64))) |
(/.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 (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) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (sinh.f64 x)) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(pow.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64)) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
| 1× | egg-herbie |
| 16 092× | accelerator-lowering-fma.f32 |
| 16 092× | accelerator-lowering-fma.f64 |
| 4 562× | *-lowering-*.f32 |
| 4 562× | *-lowering-*.f64 |
| 2 156× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 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)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 211 to 1 610 computations (82.5% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 16 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 464 | 17 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.6% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))) |
| 26.5% | (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) | |
| 3.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x)))) | |
| 3.5% | (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 3.5% | (/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) | |
| 26.6% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) | |
| 54.7% | (+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) | |
| ▶ | 54.8% | (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
| 95.1% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| ▶ | 95.1% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 94.5% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ▶ | 94.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 54.8% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 54.0% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 53.6% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 53.3% | (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| ✓ | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 514 to 288 computations (44% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) |
| ✓ | cost-diff | 33984 | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 x) (+.f64 x x)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))) |
| ✓ | cost-diff | 0 | (log.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 5 808× | accelerator-lowering-fma.f32 |
| 5 808× | accelerator-lowering-fma.f64 |
| 4 196× | *-lowering-*.f32 |
| 4 196× | *-lowering-*.f64 |
| 2 124× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 239 |
| 1 | 94 | 239 |
| 2 | 240 | 239 |
| 3 | 478 | 239 |
| 4 | 726 | 223 |
| 5 | 1157 | 221 |
| 6 | 2515 | 221 |
| 7 | 5348 | 221 |
| 0 | 8104 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) |
(* x x) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
1/6 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) |
(* x x) |
x |
(+ (* x (* x 1/120)) 1/6) |
(* x 1/120) |
1/120 |
1/6 |
1 |
(+ (log 2) (log (/ (sinh x) (+ x x)))) |
(log 2) |
2 |
(log (/ (sinh x) (+ x x))) |
(/ (sinh x) (+ x x)) |
(sinh x) |
x |
(+ x x) |
(/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x)))) |
(- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) |
(pow (log (* (sinh x) 2)) 2) |
(log (* (sinh x) 2)) |
(* (sinh x) 2) |
(sinh x) |
x |
2 |
(* (log (+ x x)) (log (+ x x))) |
(log (+ x x)) |
(+ x x) |
(+ (log (* (sinh x) 2)) (log (+ x x))) |
| Outputs |
|---|
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x 1/120)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* x 1/120) |
(*.f64 x #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (log 2) (log (/ (sinh x) (+ x x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(log (/ (sinh x) (+ x x))) |
(log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))) |
(/ (sinh x) (+ x x)) |
(/.f64 (sinh.f64 x) (+.f64 x x)) |
(sinh x) |
(sinh.f64 x) |
x |
(+ x x) |
(+.f64 x x) |
(/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x)))) |
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x))) |
(- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) |
(fma.f64 (log.f64 (+.f64 x x)) (neg.f64 (log.f64 (+.f64 x x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) |
(pow (log (* (sinh x) 2)) 2) |
(pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(log (* (sinh x) 2)) |
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(* (sinh x) 2) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(sinh x) |
(sinh.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(* (log (+ x x)) (log (+ x x))) |
(*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) |
(log (+ x x)) |
(log.f64 (+.f64 x x)) |
(+ x x) |
(+.f64 x x) |
(+ (log (* (sinh x) 2)) (log (+ x x))) |
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) |
| ✓ | accuracy | 99.6% | (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 81.6% | (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 x) (+.f64 x x)) |
| ✓ | accuracy | 99.2% | (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))) |
| ✓ | accuracy | 81.7% | (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 81.7% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/2835 binary64)) |
| 115.0ms | 81× | 2 | valid |
| 47.0ms | 139× | 0 | invalid |
| 28.0ms | 27× | 1 | valid |
| 3.0ms | 8× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 229 to 38 computations (83.4% saved)
ival-log: 60.0ms (36.7% of total)ival-mult: 30.0ms (18.4% of total)adjust: 19.0ms (11.6% of total)const: 16.0ms (9.8% of total)ival-add: 14.0ms (8.6% of total)ival-sinh: 10.0ms (6.1% of total)ival-div: 6.0ms (3.7% of total)ival-pow2: 5.0ms (3.1% of total)ival-sub: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))> |
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))> |
#<alt (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)> |
#<alt (* x x)> |
#<alt (* 1/6 (* x x))> |
#<alt (log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))> |
#<alt (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)> |
#<alt (+ (* x (* x 1/120)) 1/6)> |
#<alt (+ (log 2) (log (/ (sinh x) (+ x x))))> |
#<alt (log 2)> |
#<alt (log (/ (sinh x) (+ x x)))> |
#<alt (/ (sinh x) (+ x x))> |
#<alt (/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x))))> |
#<alt (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x))))> |
#<alt (pow (log (* (sinh x) 2)) 2)> |
#<alt (log (* (sinh x) 2))> |
#<alt (* x 1/2835)> |
#<alt (* x 1/120)> |
#<alt (* (log (+ x x)) (log (+ x x)))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))> |
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))> |
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))> |
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))> |
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (+ (log 1/2) (log 2))> |
#<alt (+ (log 1/2) (+ (log 2) (* 1/6 (pow x 2))))> |
#<alt (+ (log 1/2) (+ (log 2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (log 2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))> |
#<alt (+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (log 1/2)> |
#<alt (+ (log 1/2) (* 1/6 (pow x 2)))> |
#<alt (+ (log 1/2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))> |
#<alt (+ (log 1/2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))> |
#<alt (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/12 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/12 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/240 (* 1/10080 (pow x 2)))))))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/4 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/3 (/ (* (pow x 2) (+ (log 2) (log x))) (+ (* 2 (log 2)) (* 2 (log x)))))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))))))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (* 2/2835 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))))))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* 2/2835 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/18900 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 101/680400 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (+ (* -1/180 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* 1/8505 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (* 1/6 (/ (- (* 2/2835 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x)))))))) (+ (* 2 (log 2)) (* 2 (log x)))))))))) (+ (* -1/540 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x))))))> |
#<alt (/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x))))))> |
#<alt (* 1/3 (* (pow x 2) (+ (log 2) (log x))))> |
#<alt (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log 2) (log x)))))))> |
#<alt (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log 2) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log 2) (log x))) 1/540)))))))> |
#<alt (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log 2) (log x))) (* (pow x 2) (- (+ (* 2/2835 (+ (log 2) (log x))) (* (pow x 2) (+ 101/680400 (* -1/18900 (+ (log 2) (log x)))))) 1/540)))))))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2))> |
#<alt (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2))> |
#<alt (pow (+ (log 2) (log x)) 2)> |
#<alt (+ (* 1/3 (* (pow x 2) (+ (log 2) (log x)))) (pow (+ (log 2) (log x)) 2))> |
#<alt (+ (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log 2) (log x))))))) (pow (+ (log 2) (log x)) 2))> |
#<alt (+ (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log 2) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log 2) (log x))) 1/540))))))) (pow (+ (log 2) (log x)) 2))> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (pow (log (- (exp x) (/ 1 (exp x)))) 2)> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (+ (log x) (* 1/6 (pow x 2))))> |
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))> |
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (pow (+ (log 2) (log x)) 2)> |
#<alt (pow (+ (log 2) (log x)) 2)> |
#<alt (pow (+ (log 2) (log x)) 2)> |
#<alt (pow (+ (log 2) (log x)) 2)> |
#<alt (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | inf | (+ (log 2) (log (/ (sinh x) (+ x x)))) |
| 43.0ms | x | @ | -inf | (/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x)))) |
| 37.0ms | x | @ | 0 | (/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x)))) |
| 29.0ms | x | @ | inf | (/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x)))) |
| 17.0ms | x | @ | -inf | (+ (log 2) (log (/ (sinh x) (+ x x)))) |
| 1× | batch-egg-rewrite |
| 5 250× | accelerator-lowering-fma.f32 |
| 5 250× | accelerator-lowering-fma.f64 |
| 4 140× | /-lowering-/.f32 |
| 4 140× | /-lowering-/.f64 |
| 3 978× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 160 |
| 1 | 214 | 160 |
| 2 | 1767 | 149 |
| 0 | 8480 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) |
(* x x) |
(* 1/6 (* x x)) |
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) |
(+ (* x (* x 1/120)) 1/6) |
(+ (log 2) (log (/ (sinh x) (+ x x)))) |
(log 2) |
(log (/ (sinh x) (+ x x))) |
(/ (sinh x) (+ x x)) |
(/ (- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) (+ (log (* (sinh x) 2)) (log (+ x x)))) |
(- (pow (log (* (sinh x) 2)) 2) (* (log (+ x x)) (log (+ x x)))) |
(pow (log (* (sinh x) 2)) 2) |
(log (* (sinh x) 2)) |
(* x 1/2835) |
(* x 1/120) |
(* (log (+ x x)) (log (+ x x))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))) |
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(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 2 binary64))) |
(*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x x)))) (exp.f64 (log.f64 (log.f64 (+.f64 x x))))) |
| 1× | egg-herbie |
| 19 040× | accelerator-lowering-fma.f32 |
| 19 040× | accelerator-lowering-fma.f64 |
| 5 482× | +-lowering-+.f64 |
| 5 482× | +-lowering-+.f32 |
| 4 940× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 3036 |
| 1 | 769 | 2926 |
| 2 | 2411 | 2616 |
| 0 | 8590 | 2513 |
| 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) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 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))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 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))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 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 4) (- (+ 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 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180)))) |
(+ (log 1/120) (* -4 (log (/ 1 x)))) |
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
(+ (log 1/120) (* -4 (log (/ -1 x)))) |
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (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))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 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 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+ (log 1/2) (log 2)) |
(+ (log 1/2) (+ (log 2) (* 1/6 (pow x 2)))) |
(+ (log 1/2) (+ (log 2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))) |
(+ (log 1/2) (+ (log 2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))) |
(+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(+ (log 2) (+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(+ (log 2) (+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(log 1/2) |
(+ (log 1/2) (* 1/6 (pow x 2))) |
(+ (log 1/2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))) |
(+ (log 1/2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))) |
(+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/4 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/4 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1/2 |
(+ 1/2 (* 1/12 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/12 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/240 (* 1/10080 (pow x 2))))))) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/4 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/3 (/ (* (pow x 2) (+ (log 2) (log x))) (+ (* 2 (log 2)) (* 2 (log x))))) |
(* (pow x 2) (+ (* 1/3 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))))))) |
(* (pow x 2) (+ (* 1/3 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (* 2/2835 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))))))) |
(* (pow x 2) (+ (* 1/3 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* 2/2835 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/18900 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 101/680400 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (+ (* -1/180 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* 1/8505 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (* 1/6 (/ (- (* 2/2835 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x)))))))) (+ (* 2 (log 2)) (* 2 (log x)))))))))) (+ (* -1/540 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log 2) (log x)) (+ (* 2 (log 2)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log 2)) (* 2 (log x)))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2)))) (+ (* 2 (log 2)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log 2) (log x)) (pow (+ (* 2 (log 2)) (* 2 (log x))) 2))))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) (+ (log 2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ 1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x)))))) |
(/ (- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) (+ (log -2) (+ (log (- (exp x) (/ 1 (exp x)))) (* -1 (log (/ -1 x)))))) |
(* 1/3 (* (pow x 2) (+ (log 2) (log x)))) |
(* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log 2) (log x))))))) |
(* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log 2) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log 2) (log x))) 1/540))))))) |
(* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log 2) (log x))) (* (pow x 2) (- (+ (* 2/2835 (+ (log 2) (log x))) (* (pow x 2) (+ 101/680400 (* -1/18900 (+ (log 2) (log x)))))) 1/540))))))) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log 2) (* -1 (log (/ 1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) |
(- (pow (log (- (exp x) (/ 1 (exp x)))) 2) (pow (+ (log -2) (* -1 (log (/ -1 x)))) 2)) |
(pow (+ (log 2) (log x)) 2) |
(+ (* 1/3 (* (pow x 2) (+ (log 2) (log x)))) (pow (+ (log 2) (log x)) 2)) |
(+ (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log 2) (log x))))))) (pow (+ (log 2) (log x)) 2)) |
(+ (* (pow x 2) (+ (* 1/3 (+ (log 2) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log 2) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log 2) (log x))) 1/540))))))) (pow (+ (log 2) (log x)) 2)) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(+ (log 2) (log x)) |
(+ (log 2) (+ (log x) (* 1/6 (pow x 2)))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(pow (+ (log 2) (log x)) 2) |
(pow (+ (log 2) (log x)) 2) |
(pow (+ (log 2) (log x)) 2) |
(pow (+ (log 2) (log x)) 2) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 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 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
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(pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp x) (/ 1 (exp x)))) 2) |
(pow.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (log x) (* 1/6 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (log.f64 x))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (log.f64 x))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (log.f64 x))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(pow (+ (log 2) (log x)) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (log x)) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (log x)) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (log x)) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log 2) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -2) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
Compiled 69 907 to 3 363 computations (95.2% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 957 | 13 | 1 970 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 963 | 24 | 1 987 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 26.6% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))) | |
| 26.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (log.f64 x))) (log.f64 (+.f64 x x)))) | |
| 95.2% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| ▶ | 95.2% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
| ▶ | 3.5% | (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
| 3.5% | (/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) | |
| 26.6% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) | |
| 54.7% | (+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) | |
| ✓ | 54.8% | (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
| 95.2% | (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| 95.1% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| ▶ | 94.3% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 95.2% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
| 19.3% | (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))) | |
| 94.5% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 94.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 54.8% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 95.0% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) | |
| ▶ | 54.0% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 53.3% | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| ✓ | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.2% | (log.f64 (*.f64 (sinh.f64 x) (+.f64 x x))) | |
| 2.0% | (log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 745 to 428 computations (42.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (sinh.f64 x))) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 20672 | (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
| 4 526× | *-lowering-*.f32 |
| 4 526× | *-lowering-*.f64 |
| 2 898× | neg-lowering-neg.f64 |
| 2 898× | neg-lowering-neg.f32 |
| 2 626× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 290 |
| 1 | 94 | 284 |
| 2 | 239 | 276 |
| 3 | 615 | 276 |
| 4 | 1233 | 276 |
| 5 | 1664 | 276 |
| 6 | 2823 | 276 |
| 7 | 3908 | 276 |
| 0 | 8383 | 247 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)))) |
x |
(/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))) |
(/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)) |
1 |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
1/6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(/ (* x x) (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))) |
(* x x) |
x |
(/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)) |
1 |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
1/6 |
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) |
(* x x) |
x |
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6) |
(* x (+ (* (* x x) 1/5040) 1/120)) |
(+ (* (* x x) 1/5040) 1/120) |
1/5040 |
1/120 |
1/6 |
1 |
(/ (neg (pow (log (/ x (sinh x))) 2)) (log (/ x (sinh x)))) |
(neg (pow (log (/ x (sinh x))) 2)) |
(pow (log (/ x (sinh x))) 2) |
(log (/ x (sinh x))) |
(/ x (sinh x)) |
x |
(sinh x) |
2 |
| Outputs |
|---|
(* x (/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
x |
(/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x 1/6) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(/ (* x x) (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* x (+ (* (* x x) 1/5040) 1/120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* (* x x) 1/5040) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ (neg (pow (log (/ x (sinh x))) 2)) (log (/ x (sinh x)))) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(neg (pow (log (/ x (sinh x))) 2)) |
(neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) |
(pow (log (/ x (sinh x))) 2) |
(pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) |
(log (/ x (sinh x))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(/ x (sinh x)) |
(/.f64 x (sinh.f64 x)) |
x |
(sinh x) |
(sinh.f64 x) |
2 |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x (sinh.f64 x)) |
| ✓ | accuracy | 99.8% | (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) |
| ✓ | accuracy | 54.8% | (log.f64 (/.f64 x (sinh.f64 x))) |
| ✓ | accuracy | 30.6% | (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 58.2% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/2835 binary64)) |
| 384.0ms | 138× | 2 | valid |
| 121.0ms | 31× | 3 | valid |
| 47.0ms | 69× | 1 | valid |
| 6.0ms | 18× | 0 | valid |
Compiled 264 to 37 computations (86% saved)
ival-log: 240.0ms (46.7% of total)ival-mult: 102.0ms (19.8% of total)const: 53.0ms (10.3% of total)ival-div: 50.0ms (9.7% of total)ival-sinh: 24.0ms (4.7% of total)adjust: 19.0ms (3.7% of total)ival-add: 14.0ms (2.7% of total)ival-pow2: 8.0ms (1.6% of total)ival-neg: 3.0ms (0.6% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)))> |
#<alt (* x (/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))))> |
#<alt (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))> |
#<alt (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (/ (* x x) (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)))> |
#<alt (* x x)> |
#<alt (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)> |
#<alt (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)> |
#<alt (/ (neg (pow (log (/ x (sinh x))) 2)) (log (/ x (sinh x))))> |
#<alt (neg (pow (log (/ x (sinh x))) 2))> |
#<alt (pow (log (/ x (sinh x))) 2)> |
#<alt (log (/ x (sinh x)))> |
#<alt (* x 1/2835)> |
#<alt (* x (+ (* x (* x 1/2835)) -1/180))> |
#<alt (* x (+ (* (* x x) 1/5040) 1/120))> |
#<alt (+ (* (* x x) 1/5040) 1/120)> |
#<alt (/ x (sinh x))> |
| Outputs |
|---|
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt 6> |
#<alt (+ 6 (* 1/5 (pow x 2)))> |
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))> |
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))> |
#<alt (/ 2835 (pow x 4))> |
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))> |
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))> |
#<alt (/ 2835 (pow x 4))> |
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))> |
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))> |
#<alt (* -1/36 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/540 (pow x 2)) 1/36))> |
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/540 (* -101/680400 (pow x 2)))) 1/36))> |
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/540 (* (pow x 2) (- (* 13/1020600 (pow x 2)) 101/680400)))) 1/36))> |
#<alt (* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/36 (* -1/540 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 101/680400 (pow x 2)) 1/540))))> |
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 101/680400 (* -13/1020600 (pow x 2)))) 1/540))))> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* -1/180 x)> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* 1/2835 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 177.0ms | x | @ | inf | (/ (neg (pow (log (/ x (sinh x))) 2)) (log (/ x (sinh x)))) |
| 36.0ms | x | @ | -inf | (neg (pow (log (/ x (sinh x))) 2)) |
| 19.0ms | x | @ | -inf | (/ (neg (pow (log (/ x (sinh x))) 2)) (log (/ x (sinh x)))) |
| 1.0ms | x | @ | 0 | (neg (pow (log (/ x (sinh x))) 2)) |
| 1.0ms | x | @ | 0 | (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 5 998× | accelerator-lowering-fma.f32 |
| 5 998× | accelerator-lowering-fma.f64 |
| 4 250× | *-lowering-*.f32 |
| 4 250× | *-lowering-*.f64 |
| 3 584× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 212 |
| 1 | 200 | 205 |
| 2 | 1394 | 197 |
| 0 | 8344 | 175 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))) |
(* x (/ x (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)))) |
(/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6)) |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6) |
(* (* x 1/6) x) |
(* x 1/6) |
(/ (* x x) (/ 1 (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) 1/6))) |
(* x x) |
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) |
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6) |
(/ (neg (pow (log (/ x (sinh x))) 2)) (log (/ x (sinh x)))) |
(neg (pow (log (/ x (sinh x))) 2)) |
(pow (log (/ x (sinh x))) 2) |
(log (/ x (sinh x))) |
(* x 1/2835) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(* x (+ (* (* x x) 1/5040) 1/120)) |
(+ (* (* x x) 1/5040) 1/120) |
(/ x (sinh x)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) |
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x)) |
(+.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 x #s(literal 1/6 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (-.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x)) |
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) #s(literal 1/216 binary64))) (+.f64 (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (neg.f64 x)) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) x) (*.f64 x #s(literal 1/6 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (sinh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 (/.f64 x (sinh.f64 x)))) |
(neg.f64 (neg.f64 (/.f64 x (sinh.f64 x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sinh.f64 x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 x) x))) |
(/.f64 x (sinh.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) x)) |
(/.f64 (neg.f64 x) (neg.f64 (sinh.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sinh.f64 x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sinh.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x) |
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 14 046× | accelerator-lowering-fma.f32 |
| 14 046× | accelerator-lowering-fma.f64 |
| 4 360× | +-lowering-+.f64 |
| 4 360× | +-lowering-+.f32 |
| 3 946× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 2500 |
| 1 | 698 | 2448 |
| 2 | 1759 | 2432 |
| 3 | 4375 | 2432 |
| 4 | 7411 | 2432 |
| 0 | 8197 | 2310 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 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))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 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) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 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))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 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 4) (- (+ 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 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 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) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 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))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(+ (log 1/5040) (* -6 (log (/ 1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) |
(+ (log 1/5040) (* -6 (log (/ -1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (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))))))) |
(* 1/5040 (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 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)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 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)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 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)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) |
(* -1/36 (pow x 4)) |
(* (pow x 4) (- (* 1/540 (pow x 2)) 1/36)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/540 (* -101/680400 (pow x 2)))) 1/36)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/540 (* (pow x 2) (- (* 13/1020600 (pow x 2)) 101/680400)))) 1/36)) |
(* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)) |
(* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)) |
(* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)) |
(* -1 (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)) |
(* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)) |
(* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)) |
(* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)) |
(* -1 (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (+ 1/36 (* -1/540 (pow x 2)))) |
(* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 101/680400 (pow x 2)) 1/540)))) |
(* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 101/680400 (* -13/1020600 (pow x 2)))) 1/540)))) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6)) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -59/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(/ 2835 (pow x 4)) |
(/.f64 #s(literal 2835 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -10180485/16 binary64) (/.f64 #s(literal -1991624355/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 2835 (pow x 4)) |
(/.f64 #s(literal 2835 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -10180485/16 binary64) (/.f64 #s(literal -1991624355/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -53/1814400 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(+ (log 1/5040) (* -6 (log (/ 1 x)))) |
(fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal -42 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
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(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 3)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 3)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 42 588 to 3 401 computations (92% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 364 | 26 | 1 390 |
| Fresh | 5 | 11 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 373 | 41 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| 33.0% | (fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) | |
| 95.1% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 3.5% | (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) x))) |
| 0.7% | (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (fma.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) | |
| 26.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (log.f64 x))) (log.f64 (+.f64 x x)))) | |
| 3.5% | (/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) (+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) | |
| 0.7% | (/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))) (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (+.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) | |
| 95.2% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| 94.9% | (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) | |
| 94.4% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| 94.3% | (/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| 3.5% | (/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 1.9% | (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 3.5% | (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))))) | |
| 54.8% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) | |
| ▶ | 95.5% | (-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
| 26.6% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) | |
| 54.7% | (+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) | |
| ✓ | 54.8% | (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
| 1.9% | (+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal -6 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) | |
| 95.2% | (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| 94.2% | (*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| ▶ | 95.1% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | 94.3% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 95.1% | (*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) | |
| ▶ | 94.4% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| 95.1% | (*.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| 94.5% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 94.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 54.8% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 54.0% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) | |
| ▶ | 95.4% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
| 95.0% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) | |
| 54.0% | (log.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 52.1% | (log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 53.3% | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| ✓ | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) | |
| 2.2% | (log.f64 (*.f64 (sinh.f64 x) (+.f64 x x))) | |
| 2.0% | (log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| 54.8% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) #s(literal -1 binary64))) |
Compiled 2 663 to 832 computations (68.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x (sinh.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (sinh.f64 x))) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) x))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
| ✓ | cost-diff | 2176 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))) |
| 28 802× | accelerator-lowering-fma.f32 |
| 28 802× | accelerator-lowering-fma.f64 |
| 6 310× | +-lowering-+.f64 |
| 6 310× | +-lowering-+.f32 |
| 4 446× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 747 |
| 1 | 168 | 645 |
| 2 | 683 | 587 |
| 3 | 3300 | 579 |
| 4 | 6583 | 579 |
| 0 | 8079 | 509 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) (log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))))))) |
(log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
(* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) |
(* x x) |
(+ (* x (* x 1/5040)) 1/120) |
(* x 1/5040) |
1/5040 |
1/120 |
1/6 |
(* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) |
(log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))))) |
(+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))) |
(* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))) |
(* x (neg x)) |
(neg x) |
(* x (/ x 6)) |
x |
(/ x 6) |
6 |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
(* x x) |
x |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) |
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180) |
(* x (+ (* (* x x) -1/37800) 1/2835)) |
(+ (* (* x x) -1/37800) 1/2835) |
-1/37800 |
1/2835 |
-1/180 |
1/6 |
(log (+ 1 (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) |
(* x x) |
(+ (* x (* x 1/5040)) 1/120) |
(* x 1/5040) |
1/5040 |
1/120 |
1/6 |
(/ (pow (log (/ x (sinh x))) 2) (log (/ (sinh x) x))) |
(pow (log (/ x (sinh x))) 2) |
(log (/ x (sinh x))) |
(/ x (sinh x)) |
x |
(sinh x) |
2 |
(log (/ (sinh x) x)) |
(/ (sinh x) x) |
| Outputs |
|---|
(- (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) (log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))))))) |
(-.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) (log1p.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
(log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
(log1p.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) |
(* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x 1/5040)) 1/120) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* x 1/5040) |
(*.f64 x #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))))) |
(log1p.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))) |
(neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(* x (neg x)) |
(neg.f64 (*.f64 x x)) |
(neg x) |
(neg.f64 x) |
(* x (/ x 6)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
x |
(/ x 6) |
(/.f64 x #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x (+ (* (* x x) -1/37800) 1/2835)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(+ (* (* x x) -1/37800) 1/2835) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
-1/37800 |
#s(literal -1/37800 binary64) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(log (+ 1 (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x 1/5040)) 1/120) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* x 1/5040) |
(*.f64 x #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(/ (pow (log (/ x (sinh x))) 2) (log (/ (sinh x) x))) |
(/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) x))) |
(pow (log (/ x (sinh x))) 2) |
(pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) |
(log (/ x (sinh x))) |
(log.f64 (/.f64 x (sinh.f64 x))) |
(/ x (sinh x)) |
(/.f64 x (sinh.f64 x)) |
x |
(sinh x) |
(sinh.f64 x) |
2 |
#s(literal 2 binary64) |
(log (/ (sinh x) x)) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/ (sinh x) x) |
(/.f64 (sinh.f64 x) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) |
| ✓ | accuracy | 54.8% | (log.f64 (/.f64 x (sinh.f64 x))) |
| ✓ | accuracy | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| ✓ | accuracy | 30.6% | (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| 263.0ms | 133× | 2 | valid |
| 92.0ms | 34× | 3 | valid |
| 87.0ms | 70× | 1 | valid |
| 8.0ms | 19× | 0 | valid |
Compiled 658 to 50 computations (92.4% saved)
ival-log: 156.0ms (39.4% of total)ival-mult: 70.0ms (17.7% of total)const: 38.0ms (9.6% of total)ival-div: 29.0ms (7.3% of total)adjust: 28.0ms (7.1% of total)ival-sinh: 24.0ms (6.1% of total)ival-log1p: 22.0ms (5.6% of total)ival-add: 17.0ms (4.3% of total)ival-pow2: 8.0ms (2% of total)ival-sub: 3.0ms (0.8% of total)ival-neg: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))))> |
#<alt (- (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) (log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))))))> |
#<alt (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))))> |
#<alt (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))> |
#<alt (* x (/ x 6))> |
#<alt (/ x 6)> |
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))> |
#<alt (* x x)> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)> |
#<alt (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)> |
#<alt (log (+ 1 (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))))> |
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))> |
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))> |
#<alt (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)> |
#<alt (/ (pow (log (/ x (sinh x))) 2) (log (/ (sinh x) x)))> |
#<alt (pow (log (/ x (sinh x))) 2)> |
#<alt (log (/ x (sinh x)))> |
#<alt (/ x (sinh x))> |
#<alt (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))> |
#<alt (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))> |
#<alt (* x (+ (* (* x x) -1/37800) 1/2835))> |
#<alt (+ (* (* x x) -1/37800) 1/2835)> |
#<alt (+ (* x (* x 1/5040)) 1/120)> |
#<alt (log (/ (sinh x) x))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* 13/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 13/5040 (* 41/302400 (pow x 2)))))) 1/6))> |
#<alt (* 1/25401600 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6)))))))> |
#<alt (* 1/25401600 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))> |
#<alt (- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))> |
#<alt (- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))> |
#<alt 0> |
#<alt (* 1/216 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))> |
#<alt (+ (log 1/128024064000) (* -18 (log (/ 1 x))))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/128024064000) (* -18 (log (/ -1 x))))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))> |
#<alt (* 1/216 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))> |
#<alt (* 1/128024064000 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))> |
#<alt (* 1/128024064000 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))> |
#<alt (* -1/37800 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))))> |
#<alt (/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/36 (* -1/540 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 101/680400 (pow x 2)) 1/540))))> |
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 101/680400 (* -13/1020600 (pow x 2)))) 1/540))))> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/36 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* 41/302400 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* (pow x 2) (+ 41/302400 (* 1/302400 (pow x 2))))))))> |
#<alt (* 1/25401600 (pow x 10))> |
#<alt (* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))> |
#<alt (* 1/25401600 (pow x 10))> |
#<alt (* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))> |
#<alt (* 1/2835 x)> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* -1/37800 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* -1/37800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt 1/2835> |
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))> |
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))> |
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (/ (pow (log (/ x (sinh x))) 2) (log (/ (sinh x) x))) |
| 1.0ms | x | @ | 0 | (- (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) (log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))))))) |
| 1.0ms | x | @ | inf | (- (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) (log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))))))) |
| 1.0ms | x | @ | inf | (/ (pow (log (/ x (sinh x))) 2) (log (/ (sinh x) x))) |
| 1.0ms | x | @ | 0 | (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
| 1× | batch-egg-rewrite |
| 4 374× | accelerator-lowering-fma.f32 |
| 4 374× | accelerator-lowering-fma.f64 |
| 4 186× | *-lowering-*.f32 |
| 4 186× | *-lowering-*.f64 |
| 3 346× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 566 |
| 1 | 328 | 329 |
| 2 | 2844 | 313 |
| 0 | 8731 | 273 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x)))) |
(- (log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) (log (+ 1 (+ (* (* x x) (* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)))) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))))))) |
(log (+ 1 (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
(* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* (* (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(* x (/ x 6)) |
(/ x 6) |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
(* x x) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) |
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180) |
(log (+ 1 (* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(* x (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) |
(/ (pow (log (/ x (sinh x))) 2) (log (/ (sinh x) x))) |
(pow (log (/ x (sinh x))) 2) |
(log (/ x (sinh x))) |
(/ x (sinh x)) |
(* (* x x) (* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6))) |
(* (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6) (* x (neg x))) |
(* x (+ (* (* x x) -1/37800) 1/2835)) |
(+ (* (* x x) -1/37800) 1/2835) |
(+ (* x (* x 1/5040)) 1/120) |
(log (/ (sinh x) x)) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (neg.f64 (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x))) |
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(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
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(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
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(log.f64 (/.f64 (sinh.f64 x) x)) |
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(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) #s(literal -1 binary64))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (sinh.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 x #s(literal 2 binary64)))) |
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x))) |
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (/.f64 (sinh.f64 x) #s(literal 1 binary64))) (log.f64 x)) |
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(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) x))) (log.f64 #s(literal 2 binary64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x))) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) (*.f64 (log.f64 (/.f64 x (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))) |
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) (/.f64 (log.f64 (/.f64 x (sinh.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x)))) |
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(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) (pow.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
| 1× | egg-herbie |
| 13 622× | accelerator-lowering-fma.f32 |
| 13 622× | accelerator-lowering-fma.f64 |
| 5 810× | +-lowering-+.f64 |
| 5 810× | +-lowering-+.f32 |
| 5 332× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 3523 |
| 1 | 1061 | 3469 |
| 2 | 2903 | 3400 |
| 3 | 7657 | 3400 |
| 0 | 8413 | 3251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* 13/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 13/5040 (* 41/302400 (pow x 2)))))) 1/6)) |
(* 1/25401600 (pow x 12)) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(* 1/25401600 (pow x 12)) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 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 (* -53/1814400 (pow x 2)))) 1/180)))) |
(- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
0 |
(* 1/216 (pow x 6)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(+ (log 1/128024064000) (* -18 (log (/ 1 x)))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(+ (log 1/128024064000) (* -18 (log (/ -1 x)))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(* 1/216 (pow x 6)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2)))))))) |
(* 1/128024064000 (pow x 18)) |
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6))))))) |
(* 1/128024064000 (pow x 18)) |
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6))))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 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)))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 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 (* -53/1814400 (pow x 2)))) 1/180)))) |
(+ (log 1/5040) (* -6 (log (/ 1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) |
(+ (log 1/5040) (* -6 (log (/ -1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 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)))))) |
(* 1/5040 (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)))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 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)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 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)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(/ (pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))) |
(/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(/ (pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (+ 1/36 (* -1/540 (pow x 2)))) |
(* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 101/680400 (pow x 2)) 1/540)))) |
(* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 101/680400 (* -13/1020600 (pow x 2)))) 1/540)))) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) 2) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6)) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 2 (/ x (- (exp x) (/ 1 (exp x))))) |
(* 1/36 (pow x 2)) |
(* (pow x 2) (+ 1/36 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* 41/302400 (pow x 2)))))) |
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* (pow x 2) (+ 41/302400 (* 1/302400 (pow x 2)))))))) |
(* 1/25401600 (pow x 10)) |
(* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6))))))) |
(* 1/25401600 (pow x 10)) |
(* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6))))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) |
(* -1/5040 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)) |
(* 1/2835 x) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* -1/37800 (pow x 3)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
1/2835 |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(* -1/37800 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
| Outputs |
|---|
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* 13/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 13/5040 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 13/5040 (* 41/302400 (pow x 2)))))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 41/302400 binary64)) #s(literal 13/5040 binary64))) #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) |
(* 1/25401600 (pow x 12)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 13/5040 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/25401600 (pow x 12)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 13/5040 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -53/1814400 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(-.f64 (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (*.f64 #s(literal 6 binary64) (log.f64 x))) (log.f64 #s(literal 1/25401600 binary64))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))) (log.f64 #s(literal 1/25401600 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4))))) |
(+.f64 (-.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))) (log.f64 #s(literal 1/25401600 binary64))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 #s(literal -42 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))) (log.f64 #s(literal 1/25401600 binary64))))) |
(- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (-.f64 (log.f64 #s(literal 1/25401600 binary64)) (log.f64 #s(literal 1/128024064000 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (/.f64 #s(literal 42 binary64) (*.f64 x x))) (-.f64 (log.f64 #s(literal 1/25401600 binary64)) (log.f64 #s(literal 1/128024064000 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4))))) |
(+.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (/.f64 #s(literal 42 binary64) (*.f64 x x))) (-.f64 (log.f64 #s(literal 1/25401600 binary64)) (log.f64 #s(literal 1/128024064000 binary64)))) (/.f64 #s(literal -42 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) (-.f64 (log.f64 #s(literal 1/25401600 binary64)) (log.f64 #s(literal 1/128024064000 binary64)))) |
0 |
#s(literal 0 binary64) |
(* 1/216 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal 1/216 binary64))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 31/604800 binary64) #s(literal 1/1440 binary64))) #s(literal 1/216 binary64))) |
(+ (log 1/128024064000) (* -18 (log (/ 1 x)))) |
(fma.f64 #s(literal 18 binary64) (log.f64 x) (log.f64 #s(literal 1/128024064000 binary64))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (fma.f64 #s(literal 18 binary64) (log.f64 x) (/.f64 #s(literal 126 binary64) (*.f64 x x)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (fma.f64 #s(literal 18 binary64) (log.f64 x) (/.f64 #s(literal 126 binary64) (*.f64 x x))) (/.f64 #s(literal -126 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(+.f64 (fma.f64 #s(literal 18 binary64) (log.f64 x) (log.f64 #s(literal 1/128024064000 binary64))) (+.f64 (/.f64 #s(literal 126 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -126 binary64) (/.f64 #s(literal -31752 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ (log 1/128024064000) (* -18 (log (/ -1 x)))) |
(fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/128024064000 binary64))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 126 binary64) (*.f64 x x)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 126 binary64) (*.f64 x x)) (/.f64 #s(literal -126 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(+.f64 (fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/128024064000 binary64))) (+.f64 (/.f64 #s(literal 126 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -126 binary64) (/.f64 #s(literal -31752 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/216 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal 1/216 binary64))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 31/604800 binary64) #s(literal 1/1440 binary64))) #s(literal 1/216 binary64))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/448000 binary64) #s(literal 31/604800 binary64))) #s(literal 1/1440 binary64))) #s(literal 1/216 binary64))) |
(* 1/128024064000 (pow x 18)) |
(*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x))) (/.f64 #s(literal 31/508032000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 31/508032000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/448000 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/128024064000 (pow x 18)) |
(*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 18 binary64))) |
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x)))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x))) (/.f64 #s(literal 31/508032000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 31/508032000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/448000 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* -1/37800 (pow x 8)) |
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64))) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/37800 (pow x 8)) |
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64))) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
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#s(literal 1/2835 binary64) |
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(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))) |
Compiled 222 742 to 7 445 computations (96.7% saved)
47 alts after pruning (39 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 442 | 14 | 2 456 |
| Fresh | 7 | 25 | 32 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 450 | 47 | 2 497 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 95.1% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 95.1% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ✓ | 3.5% | (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) x))) |
| 26.3% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (log.f64 x))) (log.f64 (+.f64 x x)))) | |
| 95.1% | (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) | |
| 95.2% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) | |
| 94.9% | (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) | |
| 94.4% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| 94.3% | (/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| 3.5% | (/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 1.9% | (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 3.5% | (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))))) | |
| 3.5% | (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64))) (log.f64 (/.f64 (sinh.f64 x) x))) | |
| 94.3% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) | |
| 93.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| 54.8% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) | |
| 94.9% | (-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))))) | |
| 26.6% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) | |
| 1.9% | (+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64)))) | |
| 54.7% | (+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) | |
| ✓ | 54.8% | (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
| 1.9% | (+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal -6 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) | |
| 95.2% | (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| 94.2% | (*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| ✓ | 95.1% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| 95.1% | (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) | |
| ✓ | 94.3% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 42.6% | (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| 95.1% | (*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) | |
| ✓ | 94.4% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| 95.1% | (*.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| 94.5% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 94.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 54.8% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) | |
| 54.0% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) | |
| 94.3% | (log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 52.4% | (log1p.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 95.4% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
| 95.4% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) | |
| 94.3% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64))))) | |
| 95.0% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) | |
| 54.0% | (log.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 54.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.2% | (log.f64 (*.f64 (sinh.f64 x) (+.f64 x x))) | |
| 2.0% | (log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| 54.8% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) #s(literal -1 binary64))) |
Compiled 2 824 to 784 computations (72.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 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 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(log1p.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) |
(*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) |
(log.f64 (*.f64 (sinh.f64 x) (+.f64 x x))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal -6 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) |
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64))) (log.f64 (/.f64 (sinh.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (log.f64 x))) (log.f64 (+.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))) (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (+.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) (+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (fma.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (log.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
3 calls:
| 37.0ms | x |
| 15.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 14.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 1 | x |
| 95.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.5% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 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 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(log1p.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) |
(*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) |
(log.f64 (*.f64 (sinh.f64 x) (+.f64 x x))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal -6 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) |
3 calls:
| 15.0ms | x |
| 12.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 12.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
| 95.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 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 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(log1p.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) |
(*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))) |
| Outputs |
|---|
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
3 calls:
| 13.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 11.0ms | x |
| 8.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
| 95.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 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 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(log1p.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
3 calls:
| 10.0ms | x |
| 9.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 8.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | x |
| 95.2% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.2% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 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 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
3 calls:
| 5.0ms | x |
| 5.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 4.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | x |
| 95.2% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.2% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 3.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 1 | x |
| 95.1% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.1% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
3 calls:
| 5.0ms | x |
| 3.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 3.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 1 | x |
| 95.1% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.1% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 1 | x |
| 94.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 94.5% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| Outputs |
|---|
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 94.4% | 1 | (/.f64 (sinh.f64 x) x) |
| 94.4% | 1 | x |
Compiled 13 to 8 computations (38.5% saved)
Total -0.1b remaining (-2.5%)
Threshold costs -0.1b (-2.5%)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
3 calls:
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 94.4% | 1 | (/.f64 (sinh.f64 x) x) |
| 94.4% | 1 | x |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 62× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 217 |
| 1 | 95 | 217 |
| 2 | 106 | 217 |
| 3 | 118 | 217 |
| 4 | 124 | 217 |
| 5 | 127 | 217 |
| 6 | 128 | 217 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (neg.f64 x)))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| 16 092× | accelerator-lowering-fma.f32 |
| 16 092× | accelerator-lowering-fma.f64 |
| 14 046× | accelerator-lowering-fma.f32 |
| 14 046× | accelerator-lowering-fma.f64 |
| 5 998× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 160 |
| 1 | 214 | 160 |
| 2 | 1767 | 149 |
| 0 | 8480 | 137 |
| 0 | 52 | 566 |
| 1 | 328 | 329 |
| 2 | 2844 | 313 |
| 0 | 8731 | 273 |
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 0 | 35 | 212 |
| 1 | 200 | 205 |
| 2 | 1394 | 197 |
| 0 | 8344 | 175 |
| 0 | 261 | 2500 |
| 1 | 698 | 2448 |
| 2 | 1759 | 2432 |
| 3 | 4375 | 2432 |
| 4 | 7411 | 2432 |
| 0 | 8197 | 2310 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 467 to 218 computations (53.3% saved)
Compiled 510 to 164 computations (67.8% saved)
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