
Time bar (total: 13.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.0s | 5 622× | 2 | valid |
| 702.0ms | 7 764× | 1 | exit |
| 319.0ms | 2 338× | 1 | valid |
| 16.0ms | 296× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
ival-log: 1.2s (51.2% of total)ival-sinh: 732.0ms (30.7% of total)ival-div: 244.0ms (10.2% of total)adjust: 169.0ms (7.1% of total)ival-true: 13.0ms (0.5% of total)ival-assert: 6.0ms (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 |
|---|---|---|---|---|---|
| 131 | 125 | (1.629975897185025e-195) | 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 | 252 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 4 | 0 |
| ↳ | (sinh.f64 x) | overflow | 4 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 125 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 125 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 136.0ms | 352× | 2 | valid |
| 20.0ms | 148× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 40 to 20 computations (50% saved)
ival-log: 66.0ms (48.8% of total)ival-sinh: 38.0ms (28.1% of total)ival-div: 24.0ms (17.7% of total)adjust: 6.0ms (4.4% 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 |
|---|---|---|
| ▶ | 53.4% | (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 | 53.4% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 60.0ms | 176× | 2 | valid |
| 10.0ms | 74× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 32.0ms (54% of total)ival-sinh: 19.0ms (32.1% of total)ival-div: 5.0ms (8.4% of total)adjust: 3.0ms (5.1% 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 | |
|---|---|---|---|---|
| 36.0ms | 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))) (log.f64 (/.f64 #s(literal -1 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 #s(literal 2 binary64))))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) |
(+.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 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (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)) (log.f64 (/.f64 #s(literal -1 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)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 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 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)))) (log.f64 (/.f64 #s(literal -1 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 #s(literal 2 binary64)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.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)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(-.f64 (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)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))) |
(-.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 (log.f64 (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 1 binary64) (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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(*.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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))))) #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 #s(literal 2 binary64))))))) |
| 1× | egg-herbie |
| 16 092× | accelerator-lowering-fma.f32 |
| 16 092× | accelerator-lowering-fma.f64 |
| 4 562× | *-lowering-*.f32 |
| 4 562× | *-lowering-*.f64 |
| 2 156× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
Compiled 9 587 to 1 620 computations (83.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 7 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 474 | 7 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.2% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) |
| ▶ | 98.3% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
| ▶ | 98.1% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ▶ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ▶ | 53.4% | (log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
Compiled 210 to 138 computations (34.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
| 2 160× | accelerator-lowering-fma.f32 |
| 2 160× | accelerator-lowering-fma.f64 |
| 632× | distribute-lft-in |
| 624× | *-lowering-*.f32 |
| 624× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 279 |
| 1 | 98 | 279 |
| 2 | 275 | 279 |
| 3 | 602 | 279 |
| 4 | 1088 | 279 |
| 5 | 1582 | 279 |
| 6 | 1673 | 279 |
| 7 | 1674 | 279 |
| 0 | 1674 | 250 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) |
x |
(* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835)))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))) |
1/6 |
(* (* x x) (+ -1/180 (* x (* x 1/2835)))) |
(* x x) |
(+ -1/180 (* x (* x 1/2835))) |
-1/180 |
(* x (* x 1/2835)) |
(* x 1/2835) |
1/2835 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* x (* x (+ 1/6 (* (* x x) -1/180)))) |
x |
(* x (+ 1/6 (* (* x x) -1/180))) |
(+ 1/6 (* (* x x) -1/180)) |
1/6 |
(* (* x x) -1/180) |
(* x x) |
-1/180 |
(* (* x x) (+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))) |
(* x x) |
x |
(+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
1/6 |
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) |
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))) |
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))) |
-1/180 |
(* x (* x (+ 1/2835 (* (* x x) -1/37800)))) |
(* x (+ 1/2835 (* (* x x) -1/37800))) |
(+ 1/2835 (* (* x x) -1/37800)) |
1/2835 |
(* (* x x) -1/37800) |
-1/37800 |
(log (+ (* 1/6 (* x x)) 1)) |
(+ (* 1/6 (* x x)) 1) |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
1 |
| Outputs |
|---|
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
x |
(* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ -1/180 (* x (* x 1/2835)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) |
(* x x) |
(*.f64 x x) |
(+ -1/180 (* x (* x 1/2835))) |
(+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) |
-1/180 |
#s(literal -1/180 binary64) |
(* x (* x 1/2835)) |
(*.f64 x (*.f64 x #s(literal 1/2835 binary64))) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (+ 1/6 (* (* x x) -1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
x |
(* x (+ 1/6 (* (* x x) -1/180))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(+ 1/6 (* (* x x) -1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) -1/180) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* x x) |
(*.f64 x x) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x x) (+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))) |
(*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))) |
(+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
-1/180 |
#s(literal -1/180 binary64) |
(* x (* x (+ 1/2835 (* (* x x) -1/37800)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(* x (+ 1/2835 (* (* x x) -1/37800))) |
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(+ 1/2835 (* (* x x) -1/37800)) |
(+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
1/2835 |
#s(literal 1/2835 binary64) |
(* (* x x) -1/37800) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
-1/37800 |
#s(literal -1/37800 binary64) |
(log (+ (* 1/6 (* x x)) 1)) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ (* 1/6 (* x x)) 1) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 54.9% | (log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/2835 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/2835 binary64)) |
| 69.0ms | 256× | 0 | valid |
Compiled 281 to 32 computations (88.6% saved)
ival-mult: 29.0ms (55.5% of total)const: 13.0ms (24.9% of total)ival-add: 8.0ms (15.3% of total)ival-log1p: 2.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))> |
#<alt (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))))> |
#<alt (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835)))))> |
#<alt (* (* x x) (+ -1/180 (* x (* x 1/2835))))> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (* x (* x (+ 1/6 (* (* x x) -1/180))))> |
#<alt (* x (+ 1/6 (* (* x x) -1/180)))> |
#<alt (+ 1/6 (* (* x x) -1/180))> |
#<alt (* (* x x) -1/180)> |
#<alt (* (* x x) (+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))> |
#<alt (+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))> |
#<alt (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))> |
#<alt (log (+ (* 1/6 (* x x)) 1))> |
#<alt (+ (* 1/6 (* x x)) 1)> |
#<alt (* x 1/2835)> |
#<alt (* x (* x 1/2835))> |
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))> |
#<alt (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))> |
#<alt (* (* x x) -1/37800)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (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 1/6> |
#<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 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* (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))) (+ 1/37800 (/ 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))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))> |
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 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 (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (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 (* -1/180 x)> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* -1/37800 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (* x x) (+ -1/180 (* x (* x 1/2835)))) |
| 1.0ms | x | @ | inf | (* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) |
| 1.0ms | x | @ | inf | (* (* x x) (+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))) |
| 0.0ms | x | @ | inf | (log (+ (* 1/6 (* x x)) 1)) |
| 0.0ms | x | @ | 0 | (log (+ (* 1/6 (* x x)) 1)) |
| 1× | batch-egg-rewrite |
| 4 820× | accelerator-lowering-fma.f32 |
| 4 820× | accelerator-lowering-fma.f64 |
| 4 714× | *-lowering-*.f32 |
| 4 714× | *-lowering-*.f64 |
| 4 292× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 207 |
| 1 | 185 | 207 |
| 2 | 1497 | 207 |
| 0 | 8314 | 183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) |
(* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835)))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x 1/2835))))) |
(* (* x x) (+ -1/180 (* x (* x 1/2835)))) |
(* 1/6 (* x x)) |
(* x x) |
(* x (* x (+ 1/6 (* (* x x) -1/180)))) |
(* x (+ 1/6 (* (* x x) -1/180))) |
(+ 1/6 (* (* x x) -1/180)) |
(* (* x x) -1/180) |
(* (* x x) (+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))) |
(+ 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) |
(log (+ (* 1/6 (* x x)) 1)) |
(+ (* 1/6 (* x x)) 1) |
(* x 1/2835) |
(* x (* x 1/2835)) |
(* x (+ 1/2835 (* (* x x) -1/37800))) |
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))) |
(* (* x x) -1/37800) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x))) x))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
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(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) #s(literal 1/180 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) #s(literal 1/180 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) (-.f64 (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 x #s(literal -1/180 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 x #s(literal -1/180 binary64)))) |
(*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) x) |
(*.f64 (+.f64 (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
(*.f64 x (*.f64 x #s(literal -1/37800 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/37800 binary64)) x) |
| 1× | egg-herbie |
| 14 224× | accelerator-lowering-fma.f32 |
| 14 224× | accelerator-lowering-fma.f64 |
| 4 334× | +-lowering-+.f64 |
| 4 334× | +-lowering-+.f32 |
| 3 978× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 2122 |
| 1 | 411 | 2122 |
| 2 | 1070 | 2118 |
| 3 | 3069 | 2118 |
| 4 | 7824 | 2118 |
| 0 | 8262 | 2025 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (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))))) |
1/6 |
(+ 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 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* (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))) (+ 1/37800 (/ 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))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72)))) |
(+ (log 1/6) (* -2 (log (/ 1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+ (log 1/6) (* -2 (log (/ -1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 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) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (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)))))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* -1/37800 (pow x 5)) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 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 (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (/.f64 #s(literal 1/6 binary64) (*.f64 x 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))))) |
(*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 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 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.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 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)))) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 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 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.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 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
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(*.f64 x #s(literal -1/180 binary64)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
(* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
(* -1/37800 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/37800 binary64)) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/37800 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/37800 binary64)) |
(* -1 (* (pow x 5) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
Compiled 33 901 to 2 746 computations (91.9% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 989 | 8 | 997 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 992 | 12 | 1 004 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.2% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| 98.1% | (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 98.1% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x)) | |
| ▶ | 27.9% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| ▶ | 97.7% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 98.2% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))) | |
| ▶ | 98.1% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | 98.3% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
| ✓ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ▶ | 97.7% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
Compiled 294 to 186 computations (36.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| 7 010× | *-lowering-*.f32 |
| 7 010× | *-lowering-*.f64 |
| 4 120× | accelerator-lowering-fma.f32 |
| 4 120× | accelerator-lowering-fma.f64 |
| 2 328× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 149 |
| 1 | 64 | 141 |
| 2 | 143 | 141 |
| 3 | 252 | 141 |
| 4 | 416 | 141 |
| 5 | 612 | 141 |
| 6 | 1296 | 141 |
| 7 | 2500 | 141 |
| 8 | 3082 | 141 |
| 9 | 3883 | 141 |
| 10 | 5074 | 141 |
| 11 | 7135 | 141 |
| 12 | 7291 | 141 |
| 13 | 7415 | 141 |
| 14 | 7538 | 141 |
| 15 | 7664 | 141 |
| 0 | 8239 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x x) (/ 1 (+ 1/6 (* (* x x) -1/180)))) |
(* x x) |
x |
(/ 1 (+ 1/6 (* (* x x) -1/180))) |
1 |
(+ 1/6 (* (* x x) -1/180)) |
1/6 |
(* (* x x) -1/180) |
-1/180 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(* x (+ (* x (* (* x x) -1/180)) (* x 1/6))) |
x |
(+ (* x (* (* x x) -1/180)) (* x 1/6)) |
(* x (* (* x x) -1/180)) |
(* (* x x) -1/180) |
(* x x) |
-1/180 |
(* x 1/6) |
1/6 |
(* (* x (* x (* x x))) (+ -1/180 (/ 1/6 (* x x)))) |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(+ -1/180 (/ 1/6 (* x x))) |
-1/180 |
(/ 1/6 (* x x)) |
1/6 |
(log (+ 1 (* x (* x 1/6)))) |
(* x (* x 1/6)) |
x |
(* x 1/6) |
1/6 |
| Outputs |
|---|
(/ (* x x) (/ 1 (+ 1/6 (* (* x x) -1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(/ 1 (+ 1/6 (* (* x x) -1/180))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1/6 (* (* x x) -1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) -1/180) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x 1/6) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* x (+ (* x (* (* x x) -1/180)) (* x 1/6))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
x |
(+ (* x (* (* x x) -1/180)) (* x 1/6)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* x (* (* x x) -1/180)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (* x x) -1/180) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* x x) |
(*.f64 x x) |
-1/180 |
#s(literal -1/180 binary64) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x (* x (* x x))) (+ -1/180 (/ 1/6 (* x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ -1/180 (/ 1/6 (* x x))) |
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
-1/180 |
#s(literal -1/180 binary64) |
(/ 1/6 (* x x)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
1/6 |
#s(literal 1/6 binary64) |
(log (+ 1 (* x (* x 1/6)))) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* x (* x 1/6)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
x |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 30.4% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #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 | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| 44.0ms | 256× | 0 | valid |
Compiled 159 to 23 computations (85.5% saved)
ival-mult: 14.0ms (46.4% of total)const: 6.0ms (19.9% of total)ival-div: 4.0ms (13.3% of total)ival-add: 3.0ms (10% of total)ival-log1p: 2.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* x x) (/ 1 (+ 1/6 (* (* x x) -1/180))))> |
#<alt (* x x)> |
#<alt (/ 1 (+ 1/6 (* (* x x) -1/180)))> |
#<alt (+ 1/6 (* (* x x) -1/180))> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (+ (* x (* (* x x) -1/180)) (* x 1/6))> |
#<alt (* x (+ (* x (* (* x x) -1/180)) (* x 1/6)))> |
#<alt (* x (* (* x x) -1/180))> |
#<alt (* (* x x) -1/180)> |
#<alt (* (* x (* x (* x x))) (+ -1/180 (/ 1/6 (* x x))))> |
#<alt (* x (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (log (+ 1 (* x (* x 1/6))))> |
#<alt (* x (* x 1/6))> |
#<alt (/ 1/6 (* x x))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<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 6> |
#<alt (+ 6 (* 1/5 (pow x 2)))> |
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))> |
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))> |
#<alt (/ -180 (pow x 2))> |
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -180 (pow x 2))> |
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<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 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 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 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (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 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<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 (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 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))> |
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (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 (/ 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))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* x (* (* x x) -1/180)) (* x 1/6)) |
| 0.0ms | x | @ | -inf | (* x (+ (* x (* (* x x) -1/180)) (* x 1/6))) |
| 0.0ms | x | @ | -inf | (* x 1/6) |
| 0.0ms | x | @ | 0 | (* (* x (* x (* x x))) (+ -1/180 (/ 1/6 (* x x)))) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | batch-egg-rewrite |
| 11 944× | accelerator-lowering-fma.f32 |
| 11 944× | accelerator-lowering-fma.f64 |
| 6 092× | *-lowering-*.f32 |
| 6 092× | *-lowering-*.f64 |
| 3 070× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 111 |
| 1 | 140 | 103 |
| 2 | 1069 | 103 |
| 0 | 8693 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x x) (/ 1 (+ 1/6 (* (* x x) -1/180)))) |
(* x x) |
(/ 1 (+ 1/6 (* (* x x) -1/180))) |
(+ 1/6 (* (* x x) -1/180)) |
(* (* x 1/6) x) |
(* x 1/6) |
(+ (* x (* (* x x) -1/180)) (* x 1/6)) |
(* x (+ (* x (* (* x x) -1/180)) (* x 1/6))) |
(* x (* (* x x) -1/180)) |
(* (* x x) -1/180) |
(* (* x (* x (* x x))) (+ -1/180 (/ 1/6 (* x x)))) |
(* x (* x (* x x))) |
(* x (* x x)) |
(log (+ 1 (* x (* x 1/6)))) |
(* x (* x 1/6)) |
(/ 1/6 (* x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) (*.f64 x x))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 x (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/180 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/180 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/180 binary64)) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/180 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/180 binary64) (*.f64 (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
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(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64))))))) |
(+.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (neg.f64 (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (neg.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64))))))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))) (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64))))) (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))) (+.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64))))))) (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))) (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))))) (+.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216 binary64)))))) (log1p.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))) (*.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) (+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (log1p.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))) x) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 x (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) (/.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 x (/.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x) |
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal -1/6 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 8 414× | accelerator-lowering-fma.f32 |
| 8 414× | accelerator-lowering-fma.f64 |
| 3 102× | +-lowering-+.f64 |
| 3 102× | +-lowering-+.f32 |
| 3 008× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1308 |
| 1 | 296 | 1308 |
| 2 | 772 | 1298 |
| 3 | 2044 | 1298 |
| 4 | 4774 | 1298 |
| 0 | 8059 | 1233 |
| 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 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(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) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 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 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 3)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(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) |
(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 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72)))) |
(+ (log 1/6) (* -2 (log (/ 1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+ (log 1/6) (* -2 (log (/ -1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (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)) |
(/ 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)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(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) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/150 binary64)))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/150 binary64) (*.f64 (*.f64 x x) #s(literal 1/4500 binary64))))))) |
(/ -180 (pow x 2)) |
(/.f64 #s(literal -180 binary64) (*.f64 x x)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -180 binary64) (/.f64 #s(literal -5400 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/.f64 (+.f64 #s(literal -180 binary64) (/.f64 (+.f64 #s(literal -5400 binary64) (/.f64 #s(literal -162000 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -180 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 162000 binary64) (/.f64 #s(literal 4860000 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 5400 binary64)))) (*.f64 x x)) |
(/ -180 (pow x 2)) |
(/.f64 #s(literal -180 binary64) (*.f64 x x)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -180 binary64) (/.f64 #s(literal -5400 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/.f64 (+.f64 #s(literal -180 binary64) (/.f64 (+.f64 #s(literal -5400 binary64) (/.f64 #s(literal -162000 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -180 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 162000 binary64) (/.f64 #s(literal 4860000 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 5400 binary64)))) (*.f64 x x)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #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)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #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 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 3)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #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 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/72 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/72 binary64) (*.f64 (*.f64 x x) #s(literal 1/648 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/648 binary64) (*.f64 (*.f64 x x) #s(literal -1/5184 binary64)))))))))) |
(+ (log 1/6) (* -2 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (+.f64 (/.f64 #s(literal 72 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/6) (* -2 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+.f64 (/.f64 #s(literal 72 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.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 (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)) |
Compiled 34 395 to 2 106 computations (93.9% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 615 | 6 | 1 621 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 620 | 13 | 1 633 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (/.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
| ▶ | 97.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ▶ | 98.2% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) x)) |
| 97.1% | (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) | |
| 27.6% | (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ▶ | 98.1% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x)) |
| ✓ | 97.7% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 98.3% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
| ✓ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 97.1% | (log1p.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 97.7% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| ▶ | 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
Compiled 259 to 167 computations (35.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) x) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
| 13 520× | accelerator-lowering-fma.f32 |
| 13 520× | accelerator-lowering-fma.f64 |
| 6 016× | *-lowering-*.f32 |
| 6 016× | *-lowering-*.f64 |
| 2 856× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 175 |
| 1 | 63 | 175 |
| 2 | 130 | 175 |
| 3 | 196 | 175 |
| 4 | 246 | 175 |
| 5 | 290 | 175 |
| 6 | 343 | 175 |
| 7 | 422 | 175 |
| 8 | 495 | 173 |
| 9 | 685 | 173 |
| 10 | 1128 | 173 |
| 11 | 2223 | 173 |
| 12 | 2762 | 173 |
| 13 | 3415 | 173 |
| 14 | 4431 | 173 |
| 15 | 5164 | 173 |
| 16 | 6043 | 173 |
| 17 | 6454 | 173 |
| 18 | 6726 | 173 |
| 19 | 6961 | 173 |
| 0 | 8314 | 158 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x x) (+ 6 (* (* x x) 1/5))) |
(* x x) |
x |
(+ 6 (* (* x x) 1/5)) |
6 |
(* (* x x) 1/5) |
1/5 |
(/ (* x x) 6) |
(* x x) |
x |
6 |
(* (+ 1/6 (* (* x x) -1/180)) (* x x)) |
(+ 1/6 (* (* x x) -1/180)) |
1/6 |
(* (* x x) -1/180) |
(* x x) |
x |
-1/180 |
(/ x (/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x)) |
x |
(/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x) |
(/ 1 (+ 1/6 (* x (* x -1/180)))) |
1 |
(+ 1/6 (* x (* x -1/180))) |
1/6 |
(* x (* x -1/180)) |
(* x -1/180) |
-1/180 |
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
1 |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x x) |
x |
(+ 1/6 (* (* x x) 1/120)) |
1/6 |
(* (* x x) 1/120) |
1/120 |
| Outputs |
|---|
(/ (* x x) (+ 6 (* (* x x) 1/5))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(* x x) |
(*.f64 x x) |
x |
(+ 6 (* (* x x) 1/5)) |
(+.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) |
6 |
#s(literal 6 binary64) |
(* (* x x) 1/5) |
(*.f64 x (*.f64 x #s(literal 1/5 binary64))) |
1/5 |
#s(literal 1/5 binary64) |
(/ (* x x) 6) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(* x x) |
(*.f64 x x) |
x |
6 |
#s(literal 6 binary64) |
(* (+ 1/6 (* (* x x) -1/180)) (* x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(+ 1/6 (* (* x x) -1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) -1/180) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* x x) |
(*.f64 x x) |
x |
-1/180 |
#s(literal -1/180 binary64) |
(/ x (/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
x |
(/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) x) |
(/ 1 (+ 1/6 (* x (* x -1/180)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1/6 (* x (* x -1/180))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x -1/180)) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* x -1/180) |
(*.f64 x #s(literal -1/180 binary64)) |
-1/180 |
#s(literal -1/180 binary64) |
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/6 (* (* x x) 1/120)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) 1/120) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 54.9% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal -1/180 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
| 54.0ms | 256× | 0 | valid |
Compiled 179 to 28 computations (84.4% saved)
ival-mult: 12.0ms (31% of total)const: 12.0ms (31% of total)ival-div: 8.0ms (20.7% of total)ival-add: 5.0ms (12.9% of total)ival-log1p: 2.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* x x) (+ 6 (* (* x x) 1/5)))> |
#<alt (* x x)> |
#<alt (+ 6 (* (* x x) 1/5))> |
#<alt (* (* x x) 1/5)> |
#<alt (/ (* x x) 6)> |
#<alt (* (+ 1/6 (* (* x x) -1/180)) (* x x))> |
#<alt (+ 1/6 (* (* x x) -1/180))> |
#<alt (* (* x x) -1/180)> |
#<alt (/ x (/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x))> |
#<alt (/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x)> |
#<alt (/ 1 (+ 1/6 (* x (* x -1/180))))> |
#<alt (+ 1/6 (* x (* x -1/180)))> |
#<alt (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))> |
#<alt (* x -1/180)> |
#<alt (* x (* x -1/180))> |
#<alt (* (* x x) 1/120)> |
#<alt (+ 1/6 (* (* x x) 1/120))> |
| 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) (- (* 1/5400 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))> |
#<alt 5> |
#<alt (- 5 (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))> |
#<alt 5> |
#<alt (- 5 (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))> |
#<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 6> |
#<alt (+ 6 (* 1/5 (pow x 2)))> |
#<alt (+ 6 (* 1/5 (pow x 2)))> |
#<alt (+ 6 (* 1/5 (pow x 2)))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (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 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (/ 6 x)> |
#<alt (/ (+ 6 (* 1/5 (pow x 2))) x)> |
#<alt (/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x)> |
#<alt (/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x)> |
#<alt (/ -180 (pow x 3))> |
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3))> |
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3))> |
#<alt (/ -180 (pow x 3))> |
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3)))> |
#<alt 6> |
#<alt (+ 6 (* 1/5 (pow x 2)))> |
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))> |
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))> |
#<alt (/ -180 (pow x 2))> |
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -180 (pow x 2))> |
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<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 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (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)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (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)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<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)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/ (* x x) (+ 6 (* (* x x) 1/5))) |
| 1.0ms | x | @ | 0 | (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
| 1.0ms | x | @ | inf | (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
| 0.0ms | x | @ | -inf | (/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x) |
| 0.0ms | x | @ | 0 | (/ (* x x) (+ 6 (* (* x x) 1/5))) |
| 1× | batch-egg-rewrite |
| 7 230× | accelerator-lowering-fma.f32 |
| 7 230× | accelerator-lowering-fma.f64 |
| 5 410× | *-lowering-*.f32 |
| 5 410× | *-lowering-*.f64 |
| 3 254× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 150 |
| 1 | 163 | 150 |
| 2 | 1082 | 150 |
| 0 | 8512 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x x) (+ 6 (* (* x x) 1/5))) |
(* x x) |
(+ 6 (* (* x x) 1/5)) |
(* (* x x) 1/5) |
(/ (* x x) 6) |
(* (+ 1/6 (* (* x x) -1/180)) (* x x)) |
(+ 1/6 (* (* x x) -1/180)) |
(* (* x x) -1/180) |
(/ x (/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x)) |
(/ (/ 1 (+ 1/6 (* x (* x -1/180)))) x) |
(/ 1 (+ 1/6 (* x (* x -1/180)))) |
(+ 1/6 (* x (* x -1/180))) |
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x -1/180) |
(* x (* x -1/180)) |
(* (* x x) 1/120) |
(+ 1/6 (* (* x x) 1/120)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) #s(literal 36 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal 6/5 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal 6/5 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))) #s(literal 36 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/25 binary64)))) #s(literal 6 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/25 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))) |
(+.f64 (*.f64 #s(literal 36 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal 6/5 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64))))))) |
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(/.f64 (neg.f64 (+.f64 #s(literal -1/216 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) #s(literal -1/36 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))) |
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/216 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) x)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| 1× | egg-herbie |
| 8 698× | accelerator-lowering-fma.f32 |
| 8 698× | accelerator-lowering-fma.f64 |
| 3 512× | +-lowering-+.f64 |
| 3 512× | +-lowering-+.f32 |
| 3 294× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 1784 |
| 1 | 441 | 1784 |
| 2 | 1171 | 1769 |
| 3 | 2979 | 1768 |
| 4 | 6417 | 1766 |
| 0 | 8283 | 1656 |
| 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) (- (* 1/5400 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180)))) |
5 |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
5 |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 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) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* 1/5 (pow x 2))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/5 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(/ 6 x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x) |
(/ -180 (pow x 3)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3)) |
(/ -180 (pow x 3)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -180 (pow x 2)) |
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2)) |
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2)) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (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 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (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))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
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))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/5400 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5400 binary64) (*.f64 x (*.f64 x #s(literal -1/162000 binary64))))))))) |
5 |
#s(literal 5 binary64) |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 4500 binary64) (*.f64 x (*.f64 x x))) x)) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 5 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4500 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal -150 binary64) (*.f64 x x)) (/.f64 #s(literal -135000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
5 |
#s(literal 5 binary64) |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 4500 binary64) (*.f64 x (*.f64 x x))) x)) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
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(+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 800/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (log.f64 #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal 80 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+ (log 1/120) (* -4 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (/.f64 #s(literal -80 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
(+.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 800/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 80 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 #s(literal 1/120 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
Compiled 27 909 to 2 532 computations (90.9% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 225 | 8 | 1 233 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 230 | 16 | 1 246 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.4% | (/.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
| ✓ | 97.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| 97.9% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) | |
| 98.4% | (/.f64 x (+.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 x #s(literal 1/5 binary64)))) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| 97.8% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) | |
| 27.6% | (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ✓ | 98.3% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
| ✓ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 97.1% | (log1p.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 98.3% | (log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) | |
| ✓ | 97.7% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| 53.5% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| 2.1% | (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| 1.8% | (log.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)))) | |
| 4.3% | #s(literal 5 binary64) |
Compiled 475 to 209 computations (56% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 x (+.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 x #s(literal 1/5 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(log1p.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(log.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)))) |
(log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(/.f64 x (+.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 x #s(literal 1/5 binary64)))) |
3 calls:
| 31.0ms | x |
| 6.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 6.0ms | (/.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 |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 5 binary64) |
| Outputs |
|---|
#s(literal 5 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 25 |
| 1 | 18 | 25 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 x #s(literal 1/5 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 5 binary64) |
| Outputs |
|---|
(/.f64 x (+.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 x #s(literal 1/5 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 5 binary64) |
| 16 092× | accelerator-lowering-fma.f32 |
| 16 092× | accelerator-lowering-fma.f64 |
| 11 944× | accelerator-lowering-fma.f32 |
| 11 944× | accelerator-lowering-fma.f64 |
| 8 698× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 150 |
| 1 | 163 | 150 |
| 2 | 1082 | 150 |
| 0 | 8512 | 135 |
| 0 | 30 | 207 |
| 1 | 185 | 207 |
| 2 | 1497 | 207 |
| 0 | 8314 | 183 |
| 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 | 117 | 1308 |
| 1 | 296 | 1308 |
| 2 | 772 | 1298 |
| 3 | 2044 | 1298 |
| 4 | 4774 | 1298 |
| 0 | 8059 | 1233 |
| 0 | 22 | 111 |
| 1 | 140 | 103 |
| 2 | 1069 | 103 |
| 0 | 8693 | 95 |
| 0 | 169 | 1784 |
| 1 | 441 | 1784 |
| 2 | 1171 | 1769 |
| 3 | 2979 | 1768 |
| 4 | 6417 | 1766 |
| 0 | 8283 | 1656 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 189 to 122 computations (35.4% saved)
(abs x)
Compiled 166 to 98 computations (41% saved)
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