
Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.3s | 5 577× | 2 | valid |
| 642.0ms | 7 630× | 1 | exit |
| 339.0ms | 2 321× | 1 | valid |
| 20.0ms | 358× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
ival-log: 1.2s (48.1% of total)ival-sinh: 913.0ms (35.3% of total)ival-div: 258.0ms (10% of total)adjust: 151.0ms (5.8% of total)ival-true: 13.0ms (0.5% of total)ival-assert: 7.0ms (0.3% of total)| 2× | egg-herbie |
| 1 072× | accelerator-lowering-fma.f32 |
| 1 072× | accelerator-lowering-fma.f64 |
| 784× | *-lowering-*.f32 |
| 784× | *-lowering-*.f64 |
| 690× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 26 | 18 |
| 2 | 64 | 18 |
| 3 | 175 | 16 |
| 4 | 507 | 16 |
| 5 | 1448 | 16 |
| 6 | 2413 | 16 |
| 7 | 2934 | 16 |
| 8 | 3206 | 16 |
| 9 | 3244 | 16 |
| 10 | 3246 | 16 |
| 11 | 3255 | 16 |
| 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)) |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(log (/ (sinh (neg x)) (neg x))) |
(neg (log (/ (sinh (neg x)) (neg x)))) |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log (/ (sinh (neg x)) (neg x))) |
(log (/ (sinh x) x)) |
(neg (log (/ (sinh (neg x)) (neg x)))) |
(neg (log (/ (sinh x) x))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 138 | 118 | (2.5311589075077805e-200) | 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 | 253 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 3 | 0 |
| ↳ | (sinh.f64 x) | overflow | 3 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 138 | 0 |
| - | 118 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 138 | 0 | 0 |
| - | 118 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 161.0ms | 360× | 2 | valid |
| 19.0ms | 142× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 40 to 20 computations (50% saved)
ival-log: 102.0ms (63.6% of total)ival-sinh: 42.0ms (26.2% of total)ival-div: 10.0ms (6.2% of total)adjust: 5.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.1% | (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% | (/.f64 (sinh.f64 x) x) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 51.1% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 66.0ms | 180× | 2 | valid |
| 11.0ms | 71× | 1 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 35.0ms (52.4% of total)ival-sinh: 23.0ms (34.4% of total)ival-div: 5.0ms (7.5% of total)adjust: 3.0ms (4.5% 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 | |
|---|---|---|---|---|
| 34.0ms | x | @ | inf | (log (/ (sinh x) x)) |
| 27.0ms | 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)) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (sinh.f64 x)))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 (sinh.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (sinh.f64 x))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (*.f64 x #s(literal -2 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (log.f64 (*.f64 (+.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (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 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) (/.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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 0 binary64)) |
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(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(neg.f64 (sinh.f64 (-.f64 #s(literal 0 binary64) x))) |
(sinh.f64 x) |
(/.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 (*.f64 #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 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 x #s(literal -2 binary64))) #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 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) 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 x #s(literal -2 binary64)))) #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 x #s(literal -2 binary64)))) (/.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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 x #s(literal -2 binary64))) #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 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #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 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #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 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (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 x #s(literal -2 binary64))) (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) (fma.f64 x x #s(literal 0 binary64))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal 0 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal 0 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal 0 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal 0 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
Compiled 9 592 to 1 608 computations (83.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 10 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 471 | 10 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.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)))) | |
| 51.1% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) | |
| ▶ | 98.5% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ▶ | 98.5% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 98.4% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ▶ | 98.1% | (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ▶ | 51.2% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| 51.2% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 51.1% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 51.0% | (log.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) |
Compiled 302 to 180 computations (40.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (sinh.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (sinh.f64 x))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| 14 334× | accelerator-lowering-fma.f32 |
| 14 334× | accelerator-lowering-fma.f64 |
| 3 762× | *-lowering-*.f32 |
| 3 762× | *-lowering-*.f64 |
| 1 622× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 217 |
| 1 | 117 | 217 |
| 2 | 400 | 217 |
| 3 | 1103 | 217 |
| 4 | 1894 | 217 |
| 5 | 2282 | 217 |
| 6 | 2444 | 217 |
| 7 | 2621 | 217 |
| 8 | 2821 | 217 |
| 9 | 2946 | 217 |
| 10 | 3271 | 217 |
| 11 | 3881 | 217 |
| 12 | 4252 | 217 |
| 13 | 6105 | 217 |
| 14 | 7409 | 217 |
| 15 | 7673 | 217 |
| 16 | 7746 | 217 |
| 17 | 7758 | 217 |
| 18 | 7758 | 217 |
| 0 | 8143 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6))) |
x |
(* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6)) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6) |
(+ (* x x) 0) |
0 |
(+ (* x (+ (* x 1/2835) 0)) -1/180) |
(+ (* x 1/2835) 0) |
1/2835 |
-1/180 |
1/6 |
(* 1/6 (+ (* x x) 0)) |
1/6 |
(+ (* x x) 0) |
x |
0 |
(* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6)) |
(+ (* x x) 0) |
x |
0 |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6) |
(+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180) |
(* x (+ (* (+ (* x x) 0) -1/37800) 1/2835)) |
(+ (* (+ (* x x) 0) -1/37800) 1/2835) |
-1/37800 |
1/2835 |
-1/180 |
1/6 |
(log (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1)) |
(+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1) |
(+ (* x x) 0) |
x |
0 |
(+ (* x (* x 1/120)) 1/6) |
(* x 1/120) |
1/120 |
1/6 |
1 |
(neg (log (/ x (sinh x)))) |
(log (/ x (sinh x))) |
(/ x (sinh x)) |
x |
(sinh x) |
| Outputs |
|---|
(* x (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
x |
(* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6)) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* x (+ (* x 1/2835) 0)) -1/180) |
(fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) |
(+ (* x 1/2835) 0) |
(fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 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) 0)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
(+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) |
(* x (+ (* (+ (* x x) 0) -1/37800) 1/2835)) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) -1/37800) 1/2835) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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 (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1)) |
(log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* x (* x 1/120)) 1/6) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* x 1/120) |
(fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(neg (log (/ x (sinh x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 x (sinh.f64 x)) |
| ✓ | accuracy | 51.2% | (log.f64 (/.f64 x (sinh.f64 x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 52.3% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) |
| 229.0ms | 170× | 2 | valid |
| 49.0ms | 71× | 1 | valid |
| 15.0ms | 9× | 4 | valid |
| 2.0ms | 1× | 3 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 220 to 39 computations (82.3% saved)
ival-log: 73.0ms (31% of total)ival-mult: 51.0ms (21.6% of total)ival-add: 30.0ms (12.7% of total)const: 27.0ms (11.5% of total)ival-sinh: 21.0ms (8.9% of total)adjust: 18.0ms (7.6% of total)ival-neg: 9.0ms (3.8% of total)ival-div: 6.0ms (2.5% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6)> |
#<alt (+ (* x x) 0)> |
#<alt (+ (* x (+ (* x 1/2835) 0)) -1/180)> |
#<alt (+ (* x 1/2835) 0)> |
#<alt (* 1/6 (+ (* x x) 0))> |
#<alt (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6)> |
#<alt (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)> |
#<alt (+ (* (+ (* x x) 0) -1/37800) 1/2835)> |
#<alt (log (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1))> |
#<alt (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1)> |
#<alt (+ (* x (* x 1/120)) 1/6)> |
#<alt (log (/ x (sinh x)))> |
#<alt (/ x (sinh x))> |
#<alt (sinh x)> |
#<alt (neg (log (/ x (sinh x))))> |
#<alt (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6))> |
#<alt (* x (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6)))> |
#<alt (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))> |
#<alt (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6))> |
#<alt (* x 1/120)> |
| Outputs |
|---|
#<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 -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<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 (* 1/6 (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> |
#<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 1/2835> |
#<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 (* 1/6 (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 (* -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 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))))> |
#<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 (* 1/6 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 (* 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 (* 1/6 (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 (* 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)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | x | @ | -inf | (log (/ x (sinh x))) |
| 21.0ms | x | @ | inf | (log (/ x (sinh x))) |
| 1.0ms | x | @ | 0 | (log (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1)) |
| 1.0ms | x | @ | 0 | (log (/ x (sinh x))) |
| 1.0ms | x | @ | inf | (log (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 6 876× | accelerator-lowering-fma.f32 |
| 6 876× | accelerator-lowering-fma.f64 |
| 4 428× | *-lowering-*.f32 |
| 4 428× | *-lowering-*.f64 |
| 4 066× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 188 |
| 1 | 241 | 187 |
| 2 | 2377 | 187 |
| 0 | 8855 | 164 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6) |
(+ (* x x) 0) |
(+ (* x (+ (* x 1/2835) 0)) -1/180) |
(+ (* x 1/2835) 0) |
(* 1/6 (+ (* x x) 0)) |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6) |
(+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180) |
(+ (* (+ (* x x) 0) -1/37800) 1/2835) |
(log (+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1)) |
(+ (* (+ (* x x) 0) (+ (* x (* x 1/120)) 1/6)) 1) |
(+ (* x (* x 1/120)) 1/6) |
(log (/ x (sinh x))) |
(/ x (sinh x)) |
(sinh x) |
(neg (log (/ x (sinh x)))) |
(* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6)) |
(* x (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 1/2835) 0)) -1/180)) 1/6))) |
(* x (+ (* (+ (* x x) 0) -1/37800) 1/2835)) |
(* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) -1/37800) 1/2835))) -1/180)) 1/6)) |
(* x 1/120) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(+.f64 (fma.f64 (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) |
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
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(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64))) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
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(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) |
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(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
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(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
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(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 1/6 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 1/6 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1/6 binary64)) |
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(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
| 1× | egg-herbie |
| 15 548× | accelerator-lowering-fma.f32 |
| 15 548× | accelerator-lowering-fma.f64 |
| 4 112× | *-lowering-*.f32 |
| 4 112× | *-lowering-*.f64 |
| 4 040× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 2260 |
| 1 | 556 | 2230 |
| 2 | 1430 | 2222 |
| 3 | 4281 | 2222 |
| 4 | 7765 | 2222 |
| 0 | 8198 | 2089 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 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) |
(* 1/6 (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 |
(+ 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))))) |
1/2835 |
(+ 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)) |
(* 1/6 (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))))) |
(* -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))))) |
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)))) |
(* 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))))) |
(* 1/6 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))))) |
(* 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)))))) |
(* 1/6 (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))))) |
(* 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) |
| Outputs |
|---|
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 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 4)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 #s(literal -1/180 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2835 (pow x 4)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
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#s(literal -1/180 binary64) |
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#s(literal 1/6 binary64) |
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#s(literal -1/180 binary64) |
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1/2835 |
#s(literal 1/2835 binary64) |
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1 |
#s(literal 1 binary64) |
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(* 1/120 (pow x 4)) |
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(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/120 (pow x 4)) |
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1/6 |
#s(literal 1/6 binary64) |
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(* 1/120 (pow x 2)) |
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(*.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)) |
Compiled 68 299 to 5 451 computations (92% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 839 | 21 | 1 860 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 845 | 25 | 1 870 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.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)))) | |
| 27.3% | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) | |
| 98.4% | (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) | |
| 51.1% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) | |
| ▶ | 25.8% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| 98.3% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| 15.6% | (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1/6 binary64) x)) | |
| 72.9% | (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 1/6 binary64) x)) | |
| 25.1% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) | |
| 13.2% | (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| 98.5% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| 98.1% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) | |
| 98.5% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 98.5% | (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
| 98.5% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) | |
| 98.5% | (*.f64 x (*.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)))) | |
| 98.4% | (*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| ▶ | 24.2% | (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
| 24.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) | |
| 25.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) | |
| ▶ | 98.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 51.2% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| ▶ | 51.2% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 51.0% | (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| 1.7% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
Compiled 1 169 to 501 computations (57.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
| ✓ | cost-diff | 1152 | (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 1408 | (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1792 | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| 5 314× | accelerator-lowering-fma.f32 |
| 5 314× | accelerator-lowering-fma.f64 |
| 5 228× | *-lowering-*.f32 |
| 5 228× | *-lowering-*.f64 |
| 1 624× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 362 |
| 1 | 127 | 344 |
| 2 | 475 | 324 |
| 3 | 1912 | 320 |
| 4 | 5012 | 320 |
| 5 | 5790 | 320 |
| 6 | 6289 | 320 |
| 7 | 7014 | 320 |
| 0 | 8036 | 286 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))) |
x |
(/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) |
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
(+ (* x x) 0) |
0 |
(* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180)))) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
1/2835 |
-1/180 |
(* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))) |
(* x (+ (* (+ (* x x) 0) 1/2835) -1/180)) |
-1/36 |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
-1/6 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) (/ 1/6 (+ (* x x) 0))) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
x |
0 |
(/ 1/6 (+ (* x x) 0)) |
1/6 |
(* 1/6 (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0))))) |
1/6 |
(* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0)))) |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
x |
0 |
(/ (+ (* x x) 0) (* x (+ (* x x) 0))) |
(* x (+ (* x x) 0)) |
(log (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1)) |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1) |
(+ (* x x) 0) |
x |
0 |
(+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6) |
(* x (+ (* (+ (* x x) 0) 1/5040) 1/120)) |
(+ (* (+ (* x x) 0) 1/5040) 1/120) |
1/5040 |
1/120 |
1/6 |
1 |
| Outputs |
|---|
(* x (/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
x |
(/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180)))) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
(* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* (+ (* x x) 0) 1/2835) -1/180)) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
-1/36 |
#s(literal -1/36 binary64) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* 1/6 (* x x)) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) (/ 1/6 (+ (* x x) 0))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(/ 1/6 (+ (* x x) 0)) |
(/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* 1/6 (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(/ (+ (* x x) 0) (* x (+ (* x x) 0))) |
(/.f64 #s(literal 1 binary64) x) |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(log (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1)) |
(log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* x (+ (* (+ (* x x) 0) 1/5040) 1/120)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) 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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 52.3% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
| ✓ | accuracy | 92.7% | (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
| ✓ | accuracy | 82.2% | (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
| ✓ | accuracy | 37.8% | (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 28.2% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| 302.0ms | 171× | 2 | valid |
| 74.0ms | 71× | 1 | valid |
| 15.0ms | 8× | 4 | valid |
| 2.0ms | 5× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 428 to 44 computations (89.7% saved)
const: 115.0ms (35% of total)ival-mult: 88.0ms (26.8% of total)adjust: 48.0ms (14.6% of total)ival-log: 39.0ms (11.9% of total)ival-add: 23.0ms (7% of total)ival-div: 15.0ms (4.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))> |
#<alt (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)> |
#<alt (+ (* x x) 0)> |
#<alt (+ (* (+ (* x x) 0) 1/2835) -1/180)> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) (/ 1/6 (+ (* x x) 0)))> |
#<alt (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)> |
#<alt (/ 1/6 (+ (* x x) 0))> |
#<alt (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0))))> |
#<alt (/ (+ (* x x) 0) (* x (+ (* x x) 0)))> |
#<alt (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x)> |
#<alt (+ (* (+ (* x x) 0) 1/5040) 1/120)> |
#<alt (log (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1))> |
#<alt (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1)> |
#<alt (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x)> |
#<alt (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))> |
#<alt (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180)))> |
#<alt (* 1/6 (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0)))))> |
#<alt (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))> |
#<alt (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)> |
| 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 -1/36> |
#<alt (- (* 1/32400 (pow x 4)) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<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 -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 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 (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 (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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)> |
#<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 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (* -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 (* -1/36 x)> |
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))> |
#<alt (* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))> |
#<alt (* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))> |
#<alt (* 1/8037225 (pow x 9))> |
#<alt (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/8037225 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))> |
#<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 (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (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 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 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 (* 1/120 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 1/6> |
#<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))))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
| 1.0ms | x | @ | 0 | (/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
| 1.0ms | x | @ | 0 | (log (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | inf | (/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
| 1.0ms | x | @ | inf | (log (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 5 202× | accelerator-lowering-fma.f32 |
| 5 202× | accelerator-lowering-fma.f64 |
| 4 114× | /-lowering-/.f32 |
| 4 114× | /-lowering-/.f64 |
| 3 878× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 238 |
| 1 | 267 | 186 |
| 2 | 2659 | 180 |
| 0 | 9359 | 160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
(+ (* x x) 0) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
(* 1/6 (* x x)) |
(* x x) |
(* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) (/ 1/6 (+ (* x x) 0))) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(/ 1/6 (+ (* x x) 0)) |
(* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0)))) |
(/ (+ (* x x) 0) (* x (+ (* x x) 0))) |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) |
(+ (* (+ (* x x) 0) 1/5040) 1/120) |
(log (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1)) |
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6)) 1) |
(* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) x) |
(* x (+ (* (+ (* x x) 0) 1/2835) -1/180)) |
(* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))) |
(* 1/6 (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) x) (/ (+ (* x x) 0) (* x (+ (* x x) 0))))) |
(* x (+ (* (+ (* x x) 0) 1/5040) 1/120)) |
(+ (* x (* x (+ (* (+ (* x x) 0) 1/5040) 1/120))) 1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
(neg.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 6 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/36 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/1296 binary64)) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 6 binary64)) #s(literal -1/46656 binary64)) (/.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/36 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/1296 binary64)) (/.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 6 binary64)) #s(literal -1/46656 binary64)) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/36 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 1× | egg-herbie |
| 13 176× | accelerator-lowering-fma.f32 |
| 13 176× | accelerator-lowering-fma.f64 |
| 4 408× | +-lowering-+.f64 |
| 4 408× | +-lowering-+.f32 |
| 3 488× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 1844 |
| 1 | 486 | 1842 |
| 2 | 1282 | 1830 |
| 3 | 3325 | 1830 |
| 4 | 7324 | 1830 |
| 0 | 8420 | 1735 |
| 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)))))) |
-1/36 |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(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) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 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)) |
(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)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(/ 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) |
(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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
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 (* -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)))))) |
(* -1/36 x) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(* 1/8037225 (pow x 9)) |
(* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/8037225 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))) |
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))) |
(* -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))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (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 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 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)) |
(* 1/120 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))))) |
1/6 |
(+ 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)))))) |
| 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))))) |
(fma.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))) #s(literal 0 binary64)) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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))))) #s(literal 0 binary64)) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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))))) #s(literal 0 binary64)) |
(* 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))) |
(fma.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))) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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))))) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
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(* -1/36 x) |
(*.f64 x #s(literal -1/36 binary64)) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) |
(* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) |
(* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/8037225 binary64)) #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) |
(* 1/8037225 (pow x 9)) |
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(fma.f64 (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64)))))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* 1/8037225 (pow x 9)) |
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))) |
(fma.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))) |
(fma.f64 (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))) |
(fma.f64 (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64)))))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* 1/2835 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* 1/2835 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 (* 1/180 (/ 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 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 (* 1/180 (/ 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 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 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)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(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)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(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)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
Compiled 141 672 to 9 843 computations (93.1% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 450 | 18 | 3 468 |
| Fresh | 9 | 10 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 463 | 30 | 3 493 |
| Status | Accuracy | Program |
|---|---|---|
| 27.3% | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) | |
| 51.1% | (/.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)))) | |
| ▶ | 98.4% | (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| 80.5% | (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) | |
| 51.1% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) | |
| 2.7% | (+.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)))) | |
| 25.8% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| 25.8% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) | |
| 80.6% | (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) | |
| 80.6% | (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) | |
| 98.3% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| 13.2% | (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| 25.8% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) | |
| 98.5% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| ▶ | 98.1% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 98.5% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 98.6% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
| 98.4% | (*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) | |
| 98.5% | (*.f64 x (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) | |
| ▶ | 98.5% | (*.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)))) |
| ▶ | 98.5% | (*.f64 x (*.f64 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)))) |
| 98.4% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| 31.4% | (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) | |
| 98.0% | (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 98.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 51.2% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| 50.3% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) | |
| 51.0% | (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| 1.7% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) | |
| 1.6% | (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
Compiled 1 119 to 573 computations (48.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 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)))) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 x x) #s(literal -53/1814400 binary64) #s(literal 1/2835 binary64)) |
| ✓ | cost-diff | -64 | (*.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))) |
| ✓ | cost-diff | -64 | (*.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)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | -64 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) |
| 16 222× | accelerator-lowering-fma.f32 |
| 16 222× | accelerator-lowering-fma.f64 |
| 5 456× | *-lowering-*.f32 |
| 5 456× | *-lowering-*.f64 |
| 2 756× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 453 |
| 1 | 158 | 431 |
| 2 | 556 | 431 |
| 3 | 1886 | 431 |
| 4 | 3009 | 431 |
| 5 | 3224 | 431 |
| 6 | 3316 | 431 |
| 7 | 3359 | 431 |
| 8 | 3365 | 431 |
| 9 | 6817 | 431 |
| 10 | 6946 | 431 |
| 11 | 7252 | 431 |
| 12 | 7702 | 431 |
| 13 | 7766 | 431 |
| 14 | 7775 | 431 |
| 0 | 8600 | 381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))) |
x |
(/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) |
(+ (* (* x (* x (* x x))) 1/32400) -1/36) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
1/32400 |
-1/36 |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
(+ (* x x) 0) |
0 |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
1/2835 |
-1/180 |
-1/6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(* 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) |
1/2835 |
-1/180 |
1/6 |
(* x (* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6))) |
x |
(* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6)) |
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6) |
(* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180)) |
(+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180) |
(* x x) |
(+ (* (* x x) -53/1814400) 1/2835) |
-53/1814400 |
1/2835 |
-1/180 |
1/6 |
(/ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) |
(+ (* x x) 0) |
x |
0 |
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
(* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180)))) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
1/2835 |
-1/180 |
(* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))) |
(* x (+ (* (+ (* x x) 0) 1/2835) -1/180)) |
-1/36 |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
-1/6 |
| Outputs |
|---|
(* x (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))) |
(fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/32400 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
x |
(/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/32400 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) |
(* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/32400 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) |
(+ (* (* x (* x (* x x))) 1/32400) -1/36) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/32400 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) |
(* x (* x (* x x))) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x x)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
1/32400 |
#s(literal 1/32400 binary64) |
-1/36 |
#s(literal -1/36 binary64) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 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) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) |
(* x 1/6) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
x |
(* x (+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6)) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* (* x x) 1/2835) -1/180) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
x |
(* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6)) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180)) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* (* x x) -53/1814400) 1/2835) |
(fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) |
-53/1814400 |
#s(literal -53/1814400 binary64) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
(fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) |
(* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
(* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
(* x (+ (* (+ (* x x) 0) 1/2835) -1/180)) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) |
-1/36 |
#s(literal -1/36 binary64) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 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)))) |
| ✓ | accuracy | 99.6% | (*.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))) |
| ✓ | accuracy | 99.5% | (*.f64 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))) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.8% | (*.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)))) |
| ✓ | accuracy | 99.5% | (*.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))) |
| ✓ | 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 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| 191.0ms | 254× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
| 1.0ms | 1× | 4 | valid |
Compiled 446 to 48 computations (89.2% saved)
ival-mult: 113.0ms (65.9% of total)ival-add: 33.0ms (19.3% of total)const: 22.0ms (12.8% of total)ival-div: 4.0ms (2.3% of total)adjust: 0.0ms (0% 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))) 1/32400) -1/36)> |
#<alt (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))> |
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)> |
#<alt (+ (* x x) 0)> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6)> |
#<alt (+ (* (* x x) 1/2835) -1/180)> |
#<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) -53/1814400) 1/2835)> |
#<alt (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6)> |
#<alt (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180)> |
#<alt (* x (* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6)))> |
#<alt (/ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))> |
#<alt (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)> |
#<alt (+ (* (+ (* x x) 0) 1/2835) -1/180)> |
#<alt (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x)> |
#<alt (* x (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)))> |
#<alt (* x (* x x))> |
#<alt (* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6))> |
#<alt (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))> |
#<alt (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))> |
#<alt (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36))> |
#<alt (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180)))> |
| Outputs |
|---|
#<alt -1/36> |
#<alt (- (* 1/32400 (pow x 4)) 1/36)> |
#<alt (- (* 1/32400 (pow x 4)) 1/36)> |
#<alt (- (* 1/32400 (pow x 4)) 1/36)> |
#<alt (* 1/32400 (pow x 4))> |
#<alt (* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 1/32400 (pow x 4))> |
#<alt (* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180))))> |
#<alt (* 7/80 x)> |
#<alt (* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))> |
#<alt (* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))> |
#<alt (* 7/80 x)> |
#<alt (* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))))))> |
#<alt -1/6> |
#<alt (- (* -1/180 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)> |
#<alt (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)> |
#<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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (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 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> |
#<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 -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 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) (- (* 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 1/2835> |
#<alt (+ 1/2835 (* -53/1814400 (pow x 2)))> |
#<alt (+ 1/2835 (* -53/1814400 (pow x 2)))> |
#<alt (+ 1/2835 (* -53/1814400 (pow x 2)))> |
#<alt (* -53/1814400 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* -53/1814400 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<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 (* -53/1814400 (pow x 2)))) 1/180)))> |
#<alt (* -53/1814400 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* -53/1814400 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)> |
#<alt (* -53/1814400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* -53/1814400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 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 (* -53/1814400 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* -53/1814400 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 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) (- (* 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 -1/36> |
#<alt (- (* 1/32400 (pow x 4)) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -1/36 x)> |
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))> |
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))> |
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))> |
#<alt (* 1/32400 (pow x 5))> |
#<alt (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 1/32400 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))> |
#<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 (* -1/42525 (pow x 2)))) 1/180))))> |
#<alt (* 7/80 (pow x 2))> |
#<alt (* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))> |
#<alt (* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))> |
#<alt (* 7/80 (pow x 2))> |
#<alt (* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))> |
#<alt (* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))> |
#<alt (* -53/1814400 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* -53/1814400 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 53/1814400 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))> |
#<alt (* -1/180 x)> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))> |
#<alt (* x (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))> |
#<alt (* -53/1814400 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400))> |
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4)))))> |
#<alt (* -53/1814400 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 53/1814400 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))> |
#<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 (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))> |
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))> |
#<alt (* 1/8037225 (pow x 10))> |
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/8037225 (pow x 10))> |
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (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 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | (* x 1/6) |
| 0.0ms | x | @ | inf | (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
| 0.0ms | x | @ | inf | (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) |
| 0.0ms | x | @ | -inf | (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
| 0.0ms | x | @ | 0 | (+ (* (* x x) -53/1814400) 1/2835) |
| 1× | batch-egg-rewrite |
| 7 322× | accelerator-lowering-fma.f32 |
| 7 322× | accelerator-lowering-fma.f64 |
| 4 984× | *-lowering-*.f32 |
| 4 984× | *-lowering-*.f64 |
| 4 474× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 347 |
| 1 | 303 | 319 |
| 2 | 2551 | 319 |
| 0 | 9019 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (* x (* x x))) 1/32400) -1/36) |
(/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6) |
(+ (* x x) 0) |
(* (* x 1/6) x) |
(* x 1/6) |
(+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6) |
(+ (* (* x x) 1/2835) -1/180) |
(* 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) -53/1814400) 1/2835) |
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6) |
(+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180) |
(* x (* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6))) |
(/ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6)) |
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36) |
(+ (* (+ (* x x) 0) 1/2835) -1/180) |
(* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) |
(* x (/ (* (+ (* (* x (* x (* x x))) 1/32400) -1/36) x) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2835) -1/180)) -1/6))) |
(* x (* x x)) |
(* x (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180))) 1/6)) |
(* x (+ (* (* x x) (+ (* (* x x) -53/1814400) 1/2835)) -1/180)) |
(* x (+ (* (+ (* x x) 0) 1/2835) -1/180)) |
(* (+ (* x x) 0) (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) 1/2835) -1/180) (* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))))) -1/36)) |
(* x (* x (+ (* (+ (* x x) 0) 1/2835) -1/180))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/36 binary64)) |
(+.f64 #s(literal -1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)))) |
(-.f64 (/.f64 #s(literal 1/1296 binary64) (-.f64 #s(literal -1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64)) (-.f64 #s(literal -1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) x #s(literal -1/36 binary64)) |
(fma.f64 (*.f64 #s(literal 1/32400 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/36 binary64)) |
(fma.f64 (*.f64 #s(literal 1/32400 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/36 binary64)) |
(/.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/46656 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/1166400 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/46656 binary64)) (+.f64 #s(literal 1/1296 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/1166400 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/1166400 binary64))) (fma.f64 #s(literal 1/34012224000000 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/46656 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/1166400 binary64))) (fma.f64 #s(literal 1/34012224000000 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/46656 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/46656 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/1166400 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/46656 binary64))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/1166400 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/1049760000 binary64) #s(literal -1/1296 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))) (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))) (fma.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) x) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) x) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
| 1× | egg-herbie |
| 13 262× | accelerator-lowering-fma.f32 |
| 13 262× | accelerator-lowering-fma.f64 |
| 4 554× | *-lowering-*.f32 |
| 4 554× | *-lowering-*.f64 |
| 3 624× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 2880 |
| 1 | 554 | 2876 |
| 2 | 1556 | 2860 |
| 3 | 4601 | 2848 |
| 0 | 8196 | 2694 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/36 |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* 1/32400 (pow x 4)) 1/36) |
(* 1/32400 (pow x 4)) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/32400 (pow x 4)) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* 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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180)))) |
(* 7/80 x) |
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2))))) |
(* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4)))) |
(* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4)))) |
(* 7/80 x) |
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2))))) |
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 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)) 1/6) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 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) |
(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 |
(+ 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))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 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) (- (* 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)))))) |
1/2835 |
(+ 1/2835 (* -53/1814400 (pow x 2))) |
(+ 1/2835 (* -53/1814400 (pow x 2))) |
(+ 1/2835 (* -53/1814400 (pow x 2))) |
(* -53/1814400 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* -53/1814400 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
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 (* -53/1814400 (pow x 2)))) 1/180))) |
(* -53/1814400 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* -53/1814400 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180) |
(* -53/1814400 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* -53/1814400 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 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)))) |
(* -53/1814400 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* -53/1814400 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 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) (- (* 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))))) |
-1/36 |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* -1/36 x) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(* x (- (* 1/32400 (pow x 4)) 1/36)) |
(* 1/32400 (pow x 5)) |
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/32400 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))) |
(* 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 (* -1/42525 (pow x 2)))) 1/180)))) |
(* 7/80 (pow x 2)) |
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4)))) |
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4)))) |
(* 7/80 (pow x 2)) |
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4)))) |
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(* -53/1814400 (pow x 7)) |
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* -53/1814400 (pow x 7)) |
(* -1 (* (pow x 7) (- 53/1814400 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)) |
(* x (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)) |
(* -53/1814400 (pow x 5)) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 53/1814400 (/ 1/180 (pow x 4))))) |
(* -53/1814400 (pow x 5)) |
(* -1 (* (pow x 5) (- 53/1814400 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 53/1814400 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -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))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (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 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
| Outputs |
|---|
-1/36 |
#s(literal -1/36 binary64) |
(- (* 1/32400 (pow x 4)) 1/36) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(- (* 1/32400 (pow x 4)) 1/36) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(- (* 1/32400 (pow x 4)) 1/36) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* 1/32400 (pow x 4)) |
(*.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* 1/32400 (pow x 4)) |
(*.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/42525 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* 7/80 x) |
(*.f64 x #s(literal 7/80 binary64)) |
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 7/80 binary64) (/.f64 #s(literal 441/320 binary64) x)) |
(* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 7/80 binary64) (/.f64 #s(literal 441/320 binary64) x))) |
(* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 7/80 binary64) (/.f64 #s(literal 2067849/5120 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 441/320 binary64) x))) |
(* 7/80 x) |
(*.f64 x #s(literal 7/80 binary64)) |
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 7/80 binary64) (/.f64 #s(literal 441/320 binary64) x)) |
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 7/80 binary64) (/.f64 #s(literal 441/320 binary64) x))) |
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 7/80 binary64) (/.f64 #s(literal 2067849/5120 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 441/320 binary64) x))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* -1/180 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6) |
(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) (- (* 1/2835 (pow x 2)) 1/180)) 1/6) |
(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 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x 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 (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 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 |
#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 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 #s(literal -1/180 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 #s(literal -1/180 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* 1/6 (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))) |
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
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(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
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(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
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(* 1/2835 (pow x 6)) |
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(* 1/6 x) |
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(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
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(* 1/2835 (pow x 5)) |
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1/2835 |
#s(literal 1/2835 binary64) |
(+ 1/2835 (* -53/1814400 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) |
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(fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) |
(+ 1/2835 (* -53/1814400 (pow x 2))) |
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(* -53/1814400 (pow x 2)) |
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(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
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(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 53/1814400)) |
(fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) |
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))) |
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(* -53/1814400 (pow x 6)) |
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(* -53/1814400 (pow x 6)) |
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-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -53/1814400 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* -53/1814400 (pow x 4)) |
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(* 1/6 (pow x 2)) |
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(* -53/1814400 (pow x 8)) |
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(* 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)))) |
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(* (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) (pow.f64 x #s(literal 6 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 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 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))))) |
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(* (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)))))) |
-1/36 |
#s(literal -1/36 binary64) |
(- (* 1/32400 (pow x 4)) 1/36) |
(fma.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
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(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
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(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 10 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 (* 1/180 (/ 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 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* (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 (* 1/180 (/ 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 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
Compiled 147 804 to 8 710 computations (94.1% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 708 | 8 | 2 716 |
| Fresh | 7 | 16 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 717 | 29 | 2 746 |
| Status | Accuracy | Program |
|---|---|---|
| 27.3% | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) | |
| 51.1% | (/.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)))) | |
| 80.5% | (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) | |
| 98.3% | (/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) | |
| 51.1% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) | |
| 2.7% | (+.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)))) | |
| 25.8% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| 80.6% | (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) | |
| 80.6% | (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) | |
| 98.6% | (*.f64 (fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x)) | |
| 13.2% | (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| 25.8% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) | |
| 98.5% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| 98.3% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| ✓ | 98.1% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 98.5% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 1/6 binary64)))) | |
| 1.6% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) | |
| 98.0% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))) | |
| ✓ | 98.5% | (*.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)))) |
| 98.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 98.5% | (*.f64 x (*.f64 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)))) |
| 57.0% | (*.f64 x (*.f64 x #s(literal 7/80 binary64))) | |
| 98.0% | (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 98.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 51.2% | (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
| 50.3% | (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) | |
| 51.0% | (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| 1.7% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) | |
| 1.6% | (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
Compiled 1 568 to 493 computations (68.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 7/80 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(*.f64 x (*.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)))) |
(*.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)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 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)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #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 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
(log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) |
(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) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) |
(-.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)))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x)) |
3 calls:
| 17.0ms | x |
| 14.0ms | (/.f64 (sinh.f64 x) x) |
| 12.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.6% | 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 x (*.f64 x #s(literal 7/80 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(*.f64 x (*.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)))) |
(*.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)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 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)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
3 calls:
| 14.0ms | x |
| 10.0ms | (/.f64 (sinh.f64 x) x) |
| 8.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.6% | 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 x (*.f64 x #s(literal 7/80 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(*.f64 x (*.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)))) |
(*.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)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 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)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #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 |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.5% | 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 x (*.f64 x #s(literal 7/80 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(*.f64 x (*.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)))) |
(*.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)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) #s(literal 0 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| Outputs |
|---|
(*.f64 x (*.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)))) |
3 calls:
| 5.0ms | x |
| 4.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 4.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.5% | 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 x (*.f64 x #s(literal 7/80 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (sinh.f64 x) x) |
| 3.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.4% | 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 x (*.f64 x #s(literal 7/80 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
3 calls:
| 7.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.1% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
Total -26.3b remaining (-2105%)
Threshold costs -26.3b (-2105%)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 7/80 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.1% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 110 |
| 1 | 60 | 110 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x)) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.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)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x)) |
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.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)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 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 |
| 15 548× | accelerator-lowering-fma.f32 |
| 15 548× | accelerator-lowering-fma.f64 |
| 13 176× | accelerator-lowering-fma.f32 |
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 |
| 0 | 208 | 2260 |
| 1 | 556 | 2230 |
| 2 | 1430 | 2222 |
| 3 | 4281 | 2222 |
| 4 | 7765 | 2222 |
| 0 | 8198 | 2089 |
| 0 | 46 | 347 |
| 1 | 303 | 319 |
| 2 | 2551 | 319 |
| 0 | 9019 | 279 |
| 0 | 176 | 1844 |
| 1 | 486 | 1842 |
| 2 | 1282 | 1830 |
| 3 | 3325 | 1830 |
| 4 | 7324 | 1830 |
| 0 | 8420 | 1735 |
| 0 | 37 | 188 |
| 1 | 241 | 187 |
| 2 | 2377 | 187 |
| 0 | 8855 | 164 |
| 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 231 to 119 computations (48.5% saved)
(abs x)
Compiled 596 to 294 computations (50.7% saved)
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