
Time bar (total: 15.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.3s | 5 569× | 2 | valid |
| 660.0ms | 7 970× | 1 | exit |
| 354.0ms | 2 321× | 1 | valid |
| 21.0ms | 366× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
ival-log: 1.5s (54.9% of total)ival-sinh: 727.0ms (27.3% of total)ival-div: 276.0ms (10.4% of total)adjust: 175.0ms (6.6% of total)ival-true: 14.0ms (0.5% of total)ival-assert: 7.0ms (0.3% of total)| 2× | egg-herbie |
| 1 072× | accelerator-lowering-fma.f32 |
| 1 072× | accelerator-lowering-fma.f64 |
| 784× | *-lowering-*.f32 |
| 784× | *-lowering-*.f64 |
| 690× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 26 | 18 |
| 2 | 64 | 18 |
| 3 | 175 | 16 |
| 4 | 507 | 16 |
| 5 | 1448 | 16 |
| 6 | 2413 | 16 |
| 7 | 2934 | 16 |
| 8 | 3206 | 16 |
| 9 | 3244 | 16 |
| 10 | 3246 | 16 |
| 11 | 3255 | 16 |
| 0 | 4 | 5 |
| 1 | 10 | 5 |
| 2 | 23 | 5 |
| 3 | 49 | 5 |
| 4 | 89 | 5 |
| 5 | 174 | 5 |
| 6 | 370 | 5 |
| 7 | 646 | 5 |
| 8 | 1122 | 5 |
| 9 | 1839 | 5 |
| 10 | 1949 | 5 |
| 11 | 2011 | 5 |
| 12 | 2184 | 5 |
| 13 | 2384 | 5 |
| 14 | 2458 | 5 |
| 15 | 2494 | 5 |
| 16 | 2494 | 5 |
| 17 | 2518 | 5 |
| 0 | 2518 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log (/ (sinh x) x)) |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(log (/ (sinh (neg x)) (neg x))) |
(neg (log (/ (sinh (neg x)) (neg x)))) |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log (/ (sinh (neg x)) (neg x))) |
(log (/ (sinh x) x)) |
(neg (log (/ (sinh (neg x)) (neg x)))) |
(neg (log (/ (sinh x) x))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 140 | 115 | (6.859354241251744e-271) | 0 | - | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 0 | 0 | - | 0 | - | (sinh.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 x) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 247 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 8 | 0 |
| ↳ | (sinh.f64 x) | overflow | 8 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 0 |
| - | 115 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 0 | 0 |
| - | 115 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 163.0ms | 340× | 2 | valid |
| 19.0ms | 146× | 1 | valid |
| 2.0ms | 26× | 0 | valid |
Compiled 40 to 20 computations (50% saved)
ival-log: 64.0ms (42.6% of total)ival-sinh: 56.0ms (37.3% of total)ival-div: 23.0ms (15.3% of total)adjust: 6.0ms (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 |
|---|---|---|
| ▶ | 50.3% | (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 | 50.3% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 66.0ms | 170× | 2 | valid |
| 13.0ms | 73× | 1 | valid |
| 1.0ms | 13× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 39.0ms (56% of total)ival-sinh: 22.0ms (31.6% of total)ival-div: 5.0ms (7.2% of total)adjust: 3.0ms (4.3% 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)) |
| 26.0ms | x | @ | -inf | (log (/ (sinh x) x)) |
| 2.0ms | x | @ | 0 | (log (/ (sinh x) x)) |
| 0.0ms | x | @ | 0 | (/ (sinh x) x) |
| 0.0ms | x | @ | 0 | (sinh x) |
| 1× | batch-egg-rewrite |
| 4 024× | *-lowering-*.f32 |
| 4 024× | *-lowering-*.f64 |
| 3 684× | /-lowering-/.f32 |
| 3 684× | /-lowering-/.f64 |
| 2 016× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 1 | 20 | 11 |
| 2 | 121 | 11 |
| 3 | 926 | 11 |
| 0 | 8559 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(/ (sinh x) x) |
(sinh x) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 (sinh.f64 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (neg.f64 (log.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (log.f64 (*.f64 (+.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (log.f64 (*.f64 (+.f64 x x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))) (log.f64 #s(literal -2 binary64))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (sinh.f64 x))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
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(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (sinh.f64 x)) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(pow.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64)) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
| 1× | egg-herbie |
| 16 092× | accelerator-lowering-fma.f32 |
| 16 092× | accelerator-lowering-fma.f64 |
| 4 562× | *-lowering-*.f32 |
| 4 562× | *-lowering-*.f64 |
| 2 156× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 211 to 1 610 computations (82.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 9 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 471 | 10 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 50.2% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
| ▶ | 96.2% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ▶ | 96.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 95.9% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) | |
| ▶ | 95.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 50.2% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 50.2% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 49.8% | (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| ✓ | 50.3% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 278 to 160 computations (42.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 5 834× | accelerator-lowering-fma.f32 |
| 5 834× | accelerator-lowering-fma.f64 |
| 3 010× | *-lowering-*.f32 |
| 3 010× | *-lowering-*.f64 |
| 1 774× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 225 |
| 1 | 115 | 225 |
| 2 | 339 | 225 |
| 3 | 763 | 225 |
| 4 | 1345 | 225 |
| 5 | 2031 | 225 |
| 6 | 2429 | 225 |
| 7 | 3322 | 225 |
| 8 | 6145 | 225 |
| 0 | 8384 | 202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) |
(* x x) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
1/6 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
(* x x) |
x |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) |
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180) |
(* x (+ (* (* x x) -1/37800) 1/2835)) |
(+ (* (* x x) -1/37800) 1/2835) |
-1/37800 |
1/2835 |
-1/180 |
1/6 |
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) |
(* x x) |
x |
(+ (* x (* x 1/120)) 1/6) |
(* x 1/120) |
1/120 |
1/6 |
1 |
(- (log (* (sinh x) 2)) (log (+ x x))) |
(log (* (sinh x) 2)) |
(* (sinh x) 2) |
(sinh x) |
x |
2 |
(log (+ x x)) |
(+ x x) |
| Outputs |
|---|
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
x |
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
(* x (+ (* (* x x) -1/37800) 1/2835)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) |
(+ (* (* x x) -1/37800) 1/2835) |
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) |
-1/37800 |
#s(literal -1/37800 binary64) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x 1/120)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* x 1/120) |
(*.f64 x #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(- (log (* (sinh x) 2)) (log (+ x x))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
(log (* (sinh x) 2)) |
(log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(* (sinh x) 2) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(sinh x) |
(sinh.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(log (+ x x)) |
(log.f64 (+.f64 x x)) |
(+ x x) |
(+.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 x x)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 97.0% | (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 53.2% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 53.3% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/2835 binary64)) |
| 222.0ms | 163× | 2 | valid |
| 51.0ms | 72× | 1 | valid |
| 11.0ms | 8× | 3 | valid |
| 4.0ms | 13× | 0 | valid |
Compiled 205 to 39 computations (81% saved)
ival-log: 69.0ms (27.7% of total)ival-mult: 66.0ms (26.5% of total)const: 36.0ms (14.4% of total)ival-add: 30.0ms (12% of total)adjust: 25.0ms (10% of total)ival-sinh: 21.0ms (8.4% of total)ival-sub: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))> |
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))> |
#<alt (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)> |
#<alt (* x x)> |
#<alt (* 1/6 (* x x))> |
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)> |
#<alt (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)> |
#<alt (log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))> |
#<alt (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)> |
#<alt (+ (* x (* x 1/120)) 1/6)> |
#<alt (- (log (* (sinh x) 2)) (log (+ x x)))> |
#<alt (log (* (sinh x) 2))> |
#<alt (* (sinh x) 2)> |
#<alt (sinh x)> |
#<alt (* x 1/2835)> |
#<alt (* x (+ (* (* x x) -1/37800) 1/2835))> |
#<alt (+ (* (* x x) -1/37800) 1/2835)> |
#<alt (* x 1/120)> |
#<alt (log (+ x x))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (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> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))> |
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))> |
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))> |
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))> |
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -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 (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (+ (log x) (* 1/6 (pow x 2))))> |
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))> |
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (log (- (exp x) (/ 1 (exp x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt (- (exp x) (/ 1 (exp x)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2835 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 x)> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* -1/37800 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* -1/37800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt 1/2835> |
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))> |
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))> |
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | x | @ | inf | (- (log (* (sinh x) 2)) (log (+ x x))) |
| 32.0ms | x | @ | -inf | (- (log (* (sinh x) 2)) (log (+ x x))) |
| 6.0ms | x | @ | 0 | (log (+ x x)) |
| 3.0ms | x | @ | -inf | (* x x) |
| 3.0ms | x | @ | -inf | (* x (+ (* (* x x) -1/37800) 1/2835)) |
| 1× | batch-egg-rewrite |
| 5 522× | *-lowering-*.f32 |
| 5 522× | *-lowering-*.f64 |
| 4 138× | /-lowering-/.f32 |
| 4 138× | /-lowering-/.f64 |
| 3 632× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 188 |
| 1 | 225 | 184 |
| 2 | 1837 | 184 |
| 0 | 8207 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) |
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) |
(* x x) |
(* 1/6 (* x x)) |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) |
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180) |
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) |
(+ (* x (* x 1/120)) 1/6) |
(- (log (* (sinh x) 2)) (log (+ x x))) |
(log (* (sinh x) 2)) |
(* (sinh x) 2) |
(sinh x) |
(* x 1/2835) |
(* x (+ (* (* x x) -1/37800) 1/2835)) |
(+ (* (* x x) -1/37800) 1/2835) |
(* x 1/120) |
(log (+ x x)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
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(log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
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(sinh.f64 x) |
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(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64))))) |
(fma.f64 x #s(literal 1/2835 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 #s(literal 1/2835 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) x (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/37800 binary64) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/37800 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2835 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))))) (fma.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) x) |
(+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (-.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/37800 binary64)) x #s(literal 1/2835 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))))) |
(/.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64))) (-.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) #s(literal 1/8037225 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) #s(literal 1/11829804542155138297225482421875 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (-.f64 #s(literal 1/519180508397705765625 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/1230650093979747000000000 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) #s(literal 1/519180508397705765625 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) #s(literal 1/22785532875 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) #s(literal 1/519180508397705765625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (+.f64 #s(literal 1/64596985700625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) #s(literal 1/8037225 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64))) #s(literal 1/64596985700625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)))) (neg.f64 (-.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/54010152000000 binary64) #s(literal 1/22785532875 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
(log.f64 (+.f64 x x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(+.f64 (log.f64 #s(literal 0 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (log.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64))) |
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (log.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))))) |
(neg.f64 (log.f64 (+.f64 x x))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 x x))) |
| 1× | egg-herbie |
| 9 534× | accelerator-lowering-fma.f32 |
| 9 534× | accelerator-lowering-fma.f64 |
| 4 072× | *-lowering-*.f32 |
| 4 072× | *-lowering-*.f64 |
| 2 766× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2174 |
| 1 | 549 | 2152 |
| 2 | 1433 | 2148 |
| 3 | 4278 | 2148 |
| 4 | 6893 | 2148 |
| 0 | 8105 | 2024 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (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 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180)))) |
(+ (log 1/120) (* -4 (log (/ 1 x)))) |
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
(+ (log 1/120) (* -4 (log (/ -1 x)))) |
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -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 (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+ (log 2) (log x)) |
(+ (log 2) (+ (log x) (* 1/6 (pow x 2)))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
(- (exp x) (/ 1 (exp x))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2835 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 x) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* -1/37800 (pow x 3)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
1/2835 |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(* -1/37800 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (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 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (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 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -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 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -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 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
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(pow x 2) |
(*.f64 x x) |
(pow x 2) |
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(pow x 2) |
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(pow x 2) |
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(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
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(* 1/6 (pow x 2)) |
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(* -1/37800 (pow x 8)) |
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1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
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-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
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(* -1/37800 (pow x 4)) |
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(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
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(* 1/6 (pow x 2)) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
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(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/120 (pow x 4)) |
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(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
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(+ 1/6 (* 1/120 (pow x 2))) |
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(+ 1/6 (* 1/120 (pow x 2))) |
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(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
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(* 1/120 (pow x 2)) |
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/6 (pow x 2)) |
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(-.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (log.f64 #s(literal -2 binary64)))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (log.f64 #s(literal -2 binary64)))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (log.f64 #s(literal -2 binary64)))) |
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (log.f64 #s(literal -2 binary64)))) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (log x) (* 1/6 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (log.f64 x))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))) |
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (log.f64 x))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(log (- (exp x) (/ 1 (exp x)))) |
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (/ 1 (exp x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* -1/37800 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* -1/37800 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
1/2835 |
#s(literal 1/2835 binary64) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
Compiled 24 258 to 2 125 computations (91.2% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 785 | 17 | 802 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 788 | 24 | 812 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 96.2% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 50.2% | (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) | |
| 96.3% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| ▶ | 96.4% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
| ✓ | 50.2% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
| 50.1% | (-.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (log.f64 (+.f64 x x))) | |
| 96.4% | (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| ✓ | 96.2% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| 95.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) | |
| 95.9% | (*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) | |
| ▶ | 95.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 96.4% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 96.5% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
| 96.5% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) | |
| 21.2% | (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) | |
| ✓ | 96.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 96.1% | (*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) | |
| ✓ | 95.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 96.3% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) | |
| ▶ | 50.2% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 49.8% | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| ✓ | 50.3% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
Compiled 1 414 to 549 computations (61.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x 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 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 1792 | (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| 21 034× | accelerator-lowering-fma.f32 |
| 21 034× | accelerator-lowering-fma.f64 |
| 4 722× | +-lowering-+.f64 |
| 4 722× | +-lowering-+.f32 |
| 2 878× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 727 |
| 1 | 150 | 635 |
| 2 | 531 | 585 |
| 3 | 3025 | 575 |
| 4 | 5091 | 575 |
| 0 | 8022 | 509 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))))) |
x |
(/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)))) |
(* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) |
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) |
(* x (* x (+ (* x (* x 1/2835)) -1/180))) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
(* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) |
1/216 |
(- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))) |
(+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) |
(* x x) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180))) |
1/36 |
(* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)) |
(* (* x x) 1/6) |
1/6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(+ (* (* (* x x) (* x (+ (* x (* x 1/2835)) -1/180))) x) (* (* x x) 1/6)) |
(* (* x x) (* x (+ (* x (* x 1/2835)) -1/180))) |
(* x x) |
x |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
(* (* x x) 1/6) |
1/6 |
(/ (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)) |
(* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) |
(* x x) |
x |
(+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180))) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
-1/36 |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6) |
-1/6 |
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) |
(* x x) |
x |
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6) |
(* x (+ (* (* x x) 1/5040) 1/120)) |
(+ (* (* x x) 1/5040) 1/120) |
1/5040 |
1/120 |
1/6 |
1 |
| Outputs |
|---|
(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/216 binary64)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1/36 binary64)))) |
x |
(/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/216 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1/36 binary64))) |
(* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/216 binary64))) |
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/216 binary64)) |
(* x (* x (+ (* x (* x 1/2835)) -1/180))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
(* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) |
1/216 |
#s(literal 1/216 binary64) |
(- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1/36 binary64)) |
(+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/36 binary64)) |
(* x x) |
(*.f64 x x) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) |
1/36 |
#s(literal 1/36 binary64) |
(* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (* x x) 1/6) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x 1/6) x) |
(*.f64 (*.f64 x 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 (* x 1/2835)) -1/180))) x) (* (* x x) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(* (* x x) (* x (+ (* x (* x 1/2835)) -1/180))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x x) 1/6) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
-1/36 |
#s(literal -1/36 binary64) |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* x (+ (* (* x x) 1/5040) 1/120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* (* x x) 1/5040) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 53.3% | (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/2835 binary64)) |
| 205.0ms | 170× | 2 | valid |
| 63.0ms | 73× | 1 | valid |
| 6.0ms | 13× | 0 | valid |
Compiled 656 to 49 computations (92.5% saved)
ival-mult: 67.0ms (31% of total)const: 51.0ms (23.6% of total)ival-log: 38.0ms (17.6% of total)adjust: 27.0ms (12.5% of total)ival-add: 22.0ms (10.2% of total)ival-div: 8.0ms (3.7% of total)ival-sub: 3.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)))> |
#<alt (* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)))))> |
#<alt (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))))> |
#<alt (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x)> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (+ (* (* (* x x) (* x (+ (* x (* x 1/2835)) -1/180))) x) (* (* x x) 1/6))> |
#<alt (* (* x x) (* x (+ (* x (* x 1/2835)) -1/180)))> |
#<alt (* x x)> |
#<alt (* x (+ (* x (* x 1/2835)) -1/180))> |
#<alt (/ (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6))> |
#<alt (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36))> |
#<alt (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)> |
#<alt (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)> |
#<alt (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)> |
#<alt (* x 1/2835)> |
#<alt (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))> |
#<alt (* (* x x) 1/6)> |
#<alt (* x (+ (* (* x x) 1/5040) 1/120))> |
#<alt (+ (* (* x x) 1/5040) 1/120)> |
| Outputs |
|---|
#<alt 1/36> |
#<alt (+ 1/36 (* 1/1080 (pow x 2)))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* 1/216 x)> |
#<alt (* x (+ 1/216 (* -1/5832000 (pow x 6))))> |
#<alt (* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000))))> |
#<alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000))))> |
#<alt (* 1/22785532875 (pow x 13))> |
#<alt (* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))> |
#<alt (* 1/22785532875 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875)))> |
#<alt (* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4))))))> |
#<alt (* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (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 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 3) (- (* 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 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/2835 (* 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)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1/180 x)> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* 1/2835 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))> |
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))> |
#<alt (* 1/8037225 (pow x 10))> |
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/8037225 (pow x 10))> |
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt -1/36> |
#<alt (- (* 1/32400 (pow x 4)) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/8037225 (pow x 8))> |
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/2835 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 (* 1/32400 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))> |
#<alt (* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))> |
#<alt (* 1/8037225 (pow x 6))> |
#<alt (* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* 1/8037225 (pow x 6))> |
#<alt (* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))))) |
| 1.0ms | x | @ | 0 | (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | inf | (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | 0 | (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))) |
| 1.0ms | x | @ | 0 | (* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))))) |
| 1× | batch-egg-rewrite |
| 6 710× | accelerator-lowering-fma.f32 |
| 6 710× | accelerator-lowering-fma.f64 |
| 5 316× | *-lowering-*.f32 |
| 5 316× | *-lowering-*.f64 |
| 4 312× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 478 |
| 1 | 295 | 392 |
| 2 | 2520 | 264 |
| 0 | 9126 | 232 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))) |
(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6))))) |
(/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) 1/6)))) |
(* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (* x (+ (* x (* x 1/2835)) -1/180)))))) 1/216) x) |
(* (* x 1/6) x) |
(* x 1/6) |
(+ (* (* (* x x) (* x (+ (* x (* x 1/2835)) -1/180))) x) (* (* x x) 1/6)) |
(* (* x x) (* x (+ (* x (* x 1/2835)) -1/180))) |
(* x x) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(/ (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)) |
(* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)) |
(+ (* (* x x) (* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) |
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) |
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6) |
(* x 1/2835) |
(* (* x (+ (* x (* x 1/2835)) -1/180)) (* x (+ (* x (* x 1/2835)) -1/180))) |
(* (* x x) 1/6) |
(* x (+ (* (* x x) 1/5040) 1/120)) |
(+ (* (* x x) 1/5040) 1/120) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64))) |
(+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64))))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64))))) |
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(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
| 1× | egg-herbie |
| 11 630× | accelerator-lowering-fma.f32 |
| 11 630× | accelerator-lowering-fma.f64 |
| 4 066× | *-lowering-*.f32 |
| 4 066× | *-lowering-*.f64 |
| 3 534× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 2464 |
| 1 | 688 | 2460 |
| 2 | 1794 | 2448 |
| 3 | 4560 | 2448 |
| 0 | 8133 | 2336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/216 x) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(* 1/22785532875 (pow x 13)) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(* 1/22785532875 (pow x 13)) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (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 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 3) (- (* 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 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/2835 (* 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 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/8037225 (pow x 10)) |
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
-1/36 |
(- (* 1/32400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(+ (log 1/5040) (* -6 (log (/ 1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) |
(+ (log 1/5040) (* -6 (log (/ -1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/2835 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) |
(* 1/32400 (pow x 2)) |
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(* 1/8037225 (pow x 6)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* 1/8037225 (pow x 6)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
| Outputs |
|---|
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/1080 (pow x 2))) |
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/680400 binary64)) #s(literal 1/1080 binary64)) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/255150 binary64)) #s(literal -19/680400 binary64)) #s(literal 1/1080 binary64)) #s(literal 1/36 binary64)) |
(* 1/8037225 (pow x 8)) |
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -19/680400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/8037225 (pow x 8)) |
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -19/680400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 1/216 x) |
(*.f64 x #s(literal 1/216 binary64)) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(fma.f64 x #s(literal 1/216 binary64) (*.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/30618000 binary64) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/482233500 binary64) #s(literal 1/30618000 binary64)) #s(literal -1/5832000 binary64)) (pow.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 1/216 binary64))) |
(* 1/22785532875 (pow x 13)) |
(*.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x)))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 1/22785532875 binary64) (+.f64 (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x))) (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/22785532875 (pow x 13)) |
(*.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (-.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/482233500 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 1/22785532875 binary64) (+.f64 (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x))) (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* -1/180 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x 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) |
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1 |
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(*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) |
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/8037225 binary64)) #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/8037225 binary64)) #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64))) |
(* 1/8037225 (pow x 6)) |
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/8037225 (pow x 6)) |
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
Compiled 107 580 to 4 164 computations (96.1% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 751 | 13 | 1 764 |
| Fresh | 5 | 9 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 759 | 29 | 1 788 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.4% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 95.9% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 96.2% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 50.2% | (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) | |
| 96.5% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| 96.5% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| ▶ | 95.9% | (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
| 95.9% | (/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| 96.3% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ▶ | 96.6% | (-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
| ✓ | 50.2% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
| 3.1% | (+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) (/.f64 #s(literal 42 binary64) (*.f64 x x))) | |
| 96.4% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| 96.4% | (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| 96.5% | (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ✓ | 96.2% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ▶ | 95.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
| ✓ | 95.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 96.4% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) | |
| 96.5% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) | |
| ▶ | 21.2% | (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
| ✓ | 96.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | 95.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 96.6% | (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) | |
| 96.3% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) | |
| ▶ | 49.1% | (log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64))) |
| 49.8% | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| ✓ | 50.3% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
Compiled 1 280 to 562 computations (56.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
| ✓ | cost-diff | 256 | (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 2176 | (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| 25 906× | accelerator-lowering-fma.f32 |
| 25 906× | accelerator-lowering-fma.f64 |
| 6 250× | +-lowering-+.f64 |
| 6 250× | +-lowering-+.f32 |
| 4 814× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 620 |
| 1 | 176 | 520 |
| 2 | 636 | 508 |
| 3 | 2905 | 508 |
| 4 | 6331 | 508 |
| 0 | 8308 | 453 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) (log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
(log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
(* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))) |
(* (* x (* x x)) (* x (* x x))) |
(* x (* x x)) |
x |
(* x x) |
(* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) |
(+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) |
(+ (* (* x x) 1/5040) 1/120) |
1/5040 |
1/120 |
1/6 |
(* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) |
(log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))))) |
(- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) |
(* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) |
(* (* x x) (* x x)) |
(* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) |
(* (* x x) (+ (* (* x x) -1/180) 1/6)) |
(* x x) |
x |
(+ (* (* x x) -1/180) 1/6) |
-1/180 |
1/6 |
(/ (* (* x x) -1/36) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)) |
(* (* x x) -1/36) |
(* x x) |
x |
-1/36 |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(+ (* x (* x 1/2835)) -1/180) |
(* x 1/2835) |
1/2835 |
-1/180 |
-1/6 |
(* x (* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x))) |
x |
(* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x)) |
(+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) |
(+ 1/2835 (/ 1/6 (* x (* x (* x x))))) |
1/2835 |
(/ 1/6 (* x (* x (* x x)))) |
1/6 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(/ -1/180 (* x x)) |
-1/180 |
(* (* x (* x (* x x))) x) |
(log (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1)) |
(+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1) |
(* x x) |
x |
(* x (* x (* x (* x 1/5040)))) |
(* x (* x (* x 1/5040))) |
(* x (* x 1/5040)) |
(* x 1/5040) |
1/5040 |
1 |
| Outputs |
|---|
(- (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) (log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
(log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(* (* x (* x x)) (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ (* (* x x) 1/5040) 1/120) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))))) |
(log1p.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (* x x) (+ (* (* x x) -1/180) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* x x) -1/180) 1/6) |
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
-1/180 |
#s(literal -1/180 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (* x x) -1/36) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(* (* x x) -1/36) |
(*.f64 x (*.f64 x #s(literal -1/36 binary64))) |
(* x x) |
(*.f64 x x) |
x |
-1/36 |
#s(literal -1/36 binary64) |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(+ (* x (* x 1/2835)) -1/180) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(* x 1/2835) |
(*.f64 x #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
-1/180 |
#s(literal -1/180 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2835 binary64)))))) |
x |
(* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2835 binary64))))) |
(+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(+ 1/2835 (/ 1/6 (* x (* x (* x x))))) |
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
1/2835 |
#s(literal 1/2835 binary64) |
(/ 1/6 (* x (* x (* x x)))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ -1/180 (* x x)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x (* x (* x x))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(log (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1)) |
(log1p.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (* x (* x 1/5040)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x (* x (* x 1/5040))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64)) |
(* x (* x 1/5040)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* x 1/5040) |
(*.f64 x #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
| ✓ | accuracy | 82.1% | (log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
| ✓ | accuracy | 62.9% | (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
| ✓ | accuracy | 26.0% | (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| 381.0ms | 220× | 2 | valid |
| 25.0ms | 26× | 1 | valid |
| 4.0ms | 10× | 0 | valid |
Compiled 705 to 54 computations (92.3% saved)
ival-mult: 100.0ms (28.5% of total)adjust: 99.0ms (28.3% of total)ival-log: 48.0ms (13.7% of total)const: 43.0ms (12.3% of total)ival-add: 30.0ms (8.6% of total)ival-div: 13.0ms (3.7% of total)ival-log1p: 9.0ms (2.6% of total)ival-sub: 6.0ms (1.7% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))> |
#<alt (- (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) (log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))))))> |
#<alt (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))))))> |
#<alt (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))))> |
#<alt (* (* x x) (+ (* (* x x) -1/180) 1/6))> |
#<alt (* x x)> |
#<alt (+ (* (* x x) -1/180) 1/6)> |
#<alt (/ (* (* x x) -1/36) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6))> |
#<alt (* (* x x) -1/36)> |
#<alt (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)> |
#<alt (* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x))> |
#<alt (* x (* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x)))> |
#<alt (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x)))> |
#<alt (+ 1/2835 (/ 1/6 (* x (* x (* x x)))))> |
#<alt (log (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1))> |
#<alt (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1)> |
#<alt (* x (* x (* x (* x 1/5040))))> |
#<alt (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))> |
#<alt (* (* x x) (* x x))> |
#<alt (* (* x (* x x)) (* x (* x x)))> |
#<alt (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x)))> |
#<alt (* x 1/2835)> |
#<alt (* x (+ (* x (* x 1/2835)) -1/180))> |
#<alt (/ -1/180 (* x x))> |
#<alt (* x (* x 1/5040))> |
#<alt (* x (* x (* x 1/5040)))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* 13/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 13/5040 (* 41/302400 (pow x 2)))))) 1/6))> |
#<alt (* 1/25401600 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6)))))))> |
#<alt (* 1/25401600 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))> |
#<alt (- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))> |
#<alt (- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))> |
#<alt 0> |
#<alt (* 1/216 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))> |
#<alt (+ (log 1/128024064000) (* -18 (log (/ 1 x))))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/128024064000) (* -18 (log (/ -1 x))))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))> |
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))> |
#<alt (* 1/216 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))> |
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))> |
#<alt (* 1/128024064000 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))> |
#<alt (* 1/128024064000 (pow x 18))> |
#<alt (* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (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 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) (- (* 61/113400 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 61/113400 (* -101/3402000 (pow x 2)))) 1/180))))> |
#<alt (/ -315/4 (pow x 2))> |
#<alt (* -1 (/ (+ 315/4 (* 19845/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 19845/16 (* 3631635/64 (/ 1 (pow x 2)))) (pow x 2))) 315/4) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3631635/64 (* 378821205/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 315/4 (* 19845/16 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -315/4 (pow x 2))> |
#<alt (* -1 (/ (+ 315/4 (* 19845/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 19845/16 (* 3631635/64 (/ 1 (pow x 2)))) (pow x 2))) 315/4) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3631635/64 (* 378821205/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 315/4 (* 19845/16 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* -1/36 (pow x 2))> |
#<alt -1/6> |
#<alt (- (* -1/180 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)> |
#<alt (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))> |
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))> |
#<alt 1/2835> |
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))> |
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))> |
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))> |
#<alt 1/2835> |
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))> |
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))> |
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ (+ 1/6 (* 1/2835 (pow x 4))) (pow x 4))> |
#<alt (/ (+ 1/6 (* 1/2835 (pow x 4))) (pow x 4))> |
#<alt (/ (+ 1/6 (* 1/2835 (pow x 4))) (pow x 4))> |
#<alt 1/2835> |
#<alt (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))> |
#<alt (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))> |
#<alt (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))> |
#<alt 1/2835> |
#<alt (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))> |
#<alt (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))> |
#<alt (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))> |
#<alt 0> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* -1/50803200 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/5040 (* (pow x 6) (- (* 1/384072192000 (pow x 6)) 1/50803200))))> |
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))> |
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))> |
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6)))))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))> |
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))> |
#<alt 1> |
#<alt (+ 1 (* 1/5040 (pow x 6)))> |
#<alt (+ 1 (* 1/5040 (pow x 6)))> |
#<alt (+ 1 (* 1/5040 (pow x 6)))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* 1/5040 (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 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (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 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/36 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 41/302400 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* (pow x 2) (+ 41/302400 (* 1/302400 (pow x 2))))))))> |
#<alt (* 1/25401600 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))> |
#<alt (* 1/25401600 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* 1/2835 x)> |
#<alt (* -1/180 x)> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* 1/2835 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (/ -1/180 (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 (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* 1/5040 (pow x 3))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | x | @ | inf | (log (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1)) |
| 16.0ms | x | @ | 0 | (log (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1)) |
| 3.0ms | x | @ | 0 | (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
| 1.0ms | x | @ | 0 | (- (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) (log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
| 1.0ms | x | @ | inf | (- (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) (log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
| 1× | batch-egg-rewrite |
| 4 280× | accelerator-lowering-fma.f32 |
| 4 280× | accelerator-lowering-fma.f64 |
| 4 128× | *-lowering-*.f32 |
| 4 128× | *-lowering-*.f64 |
| 3 698× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 393 |
| 1 | 355 | 341 |
| 2 | 3364 | 341 |
| 0 | 8576 | 301 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) |
(- (log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) (log (+ 1 (- (* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
(log (+ 1 (* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))))) |
(* (* (* x (* x x)) (* x (* x x))) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))) |
(* (* x x) (+ (* (* x x) -1/180) 1/6)) |
(* x x) |
(+ (* (* x x) -1/180) 1/6) |
(/ (* (* x x) -1/36) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)) |
(* (* x x) -1/36) |
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6) |
(* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x)) |
(* x (* (+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) (* (* x (* x (* x x))) x))) |
(+ (+ 1/2835 (/ 1/6 (* x (* x (* x x))))) (/ -1/180 (* x x))) |
(+ 1/2835 (/ 1/6 (* x (* x (* x x))))) |
(log (+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1)) |
(+ (* (* x x) (* x (* x (* x (* x 1/5040))))) 1) |
(* x (* x (* x (* x 1/5040)))) |
(* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) |
(* (* x x) (* x x)) |
(* (* x (* x x)) (* x (* x x))) |
(* (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* (* x x) (* x x))) |
(* x 1/2835) |
(* x (+ (* x (* x 1/2835)) -1/180)) |
(/ -1/180 (* x x)) |
(* x (* x 1/5040)) |
(* x (* x (* x 1/5040))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 6 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))) |
(-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x)))))) |
(fma.f64 x (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (neg.f64 (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
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(*.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(*.f64 #s(literal 1/2835 binary64) x) |
(+.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64))))) |
(fma.f64 x #s(literal -1/180 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2835 binary64) (*.f64 x #s(literal -1/180 binary64))) |
(fma.f64 #s(literal -1/180 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x (*.f64 x #s(literal -1/180 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 x #s(literal -1/180 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal -1/180 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/180 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64))))) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1/180 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1/180 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1/180 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1/180 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/180 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/180 binary64) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/180 binary64) x))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -180 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/180 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/180 binary64)) |
(*.f64 (/.f64 #s(literal -1/180 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/180 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64)) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x x)) |
| 1× | egg-herbie |
| 11 098× | accelerator-lowering-fma.f32 |
| 11 098× | accelerator-lowering-fma.f64 |
| 5 092× | +-lowering-+.f64 |
| 5 092× | +-lowering-+.f32 |
| 4 018× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 2918 |
| 1 | 966 | 2906 |
| 2 | 2589 | 2840 |
| 3 | 7136 | 2840 |
| 0 | 8022 | 2742 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* 13/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 13/5040 (* 41/302400 (pow x 2)))))) 1/6)) |
(* 1/25401600 (pow x 12)) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(* 1/25401600 (pow x 12)) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
0 |
(* 1/216 (pow x 6)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(+ (log 1/128024064000) (* -18 (log (/ 1 x)))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(+ (log 1/128024064000) (* -18 (log (/ -1 x)))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(* 1/216 (pow x 6)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2)))))))) |
(* 1/128024064000 (pow x 18)) |
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6))))))) |
(* 1/128024064000 (pow x 18)) |
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6))))))) |
(* 1/6 (pow x 2)) |
(* (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) |
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) (- (* 61/113400 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 61/113400 (* -101/3402000 (pow x 2)))) 1/180)))) |
(/ -315/4 (pow x 2)) |
(* -1 (/ (+ 315/4 (* 19845/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 19845/16 (* 3631635/64 (/ 1 (pow x 2)))) (pow x 2))) 315/4) (pow x 2)) |
(/ (- (* -1 (/ (+ 3631635/64 (* 378821205/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 315/4 (* 19845/16 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -315/4 (pow x 2)) |
(* -1 (/ (+ 315/4 (* 19845/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 19845/16 (* 3631635/64 (/ 1 (pow x 2)))) (pow x 2))) 315/4) (pow x 2)) |
(/ (- (* -1 (/ (+ 3631635/64 (* 378821205/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 315/4 (* 19845/16 (/ 1 (pow x 2))))) (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
(* -1/36 (pow x 2)) |
-1/6 |
(- (* -1/180 (pow x 2)) 1/6) |
(- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6) |
(- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4)) |
1/2835 |
(- 1/2835 (* 1/180 (/ 1 (pow x 2)))) |
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))) |
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))) |
1/2835 |
(- 1/2835 (* 1/180 (/ 1 (pow x 2)))) |
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))) |
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* 1/2835 (pow x 4))) (pow x 4)) |
(/ (+ 1/6 (* 1/2835 (pow x 4))) (pow x 4)) |
(/ (+ 1/6 (* 1/2835 (pow x 4))) (pow x 4)) |
1/2835 |
(+ 1/2835 (* 1/6 (/ 1 (pow x 4)))) |
(+ 1/2835 (* 1/6 (/ 1 (pow x 4)))) |
(+ 1/2835 (* 1/6 (/ 1 (pow x 4)))) |
1/2835 |
(+ 1/2835 (* 1/6 (/ 1 (pow x 4)))) |
(+ 1/2835 (* 1/6 (/ 1 (pow x 4)))) |
(+ 1/2835 (* 1/6 (/ 1 (pow x 4)))) |
0 |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* -1/50803200 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (* (pow x 6) (- (* 1/384072192000 (pow x 6)) 1/50803200)))) |
(+ (log 1/5040) (* -6 (log (/ 1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12))) |
(+ (log 1/5040) (* -6 (log (/ -1 x)))) |
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6))))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12))) |
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12))) |
1 |
(+ 1 (* 1/5040 (pow x 6))) |
(+ 1 (* 1/5040 (pow x 6))) |
(+ 1 (* 1/5040 (pow x 6))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(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 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (+ 1/36 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 41/302400 (pow x 2)))))) |
(* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* (pow x 2) (+ 41/302400 (* 1/302400 (pow x 2)))))))) |
(* 1/25401600 (pow x 12)) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6))))))) |
(* 1/25401600 (pow x 12)) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6))))))) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(/ -1/180 (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)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
(* 1/5040 (pow x 3)) |
| Outputs |
|---|
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* 13/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 13/5040 binary64)) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 13/5040 (* 41/302400 (pow x 2)))))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 41/302400 binary64) #s(literal 13/5040 binary64)) #s(literal 7/360 binary64))) #s(literal -1/6 binary64))) |
(* 1/25401600 (pow x 12)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)) (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 13/5040 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/25401600 (pow x 12)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)) (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 12) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 13/5040 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/302400 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 41/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 13/5040 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -53/1814400 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) (log.f64 #s(literal 1/25401600 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) (log.f64 x))) (log.f64 #s(literal 1/25401600 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) (log.f64 x))) (/.f64 #s(literal -42 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 #s(literal 1/25401600 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) (log.f64 #s(literal 1/25401600 binary64)))))) |
(- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (-.f64 (log.f64 #s(literal 1/25401600 binary64)) (log.f64 #s(literal 1/128024064000 binary64)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (neg.f64 (log.f64 #s(literal 1/25401600 binary64)))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4))))) |
(+.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (neg.f64 (log.f64 #s(literal 1/25401600 binary64)))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 #s(literal 42 binary64) (*.f64 x x)))) (/.f64 #s(literal -42 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x))))) |
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (neg.f64 (log.f64 #s(literal 1/25401600 binary64)))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (/.f64 #s(literal 42 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
0 |
#s(literal 0 binary64) |
(* 1/216 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) |
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/216 binary64))) |
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 31/604800 binary64) #s(literal 1/1440 binary64))) #s(literal 1/216 binary64))) |
(+ (log 1/128024064000) (* -18 (log (/ 1 x)))) |
(fma.f64 #s(literal 18 binary64) (log.f64 x) (log.f64 #s(literal 1/128024064000 binary64))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (fma.f64 #s(literal 18 binary64) (log.f64 x) (/.f64 #s(literal 126 binary64) (*.f64 x x)))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (fma.f64 #s(literal 18 binary64) (log.f64 x) (/.f64 #s(literal 126 binary64) (*.f64 x x))) (/.f64 #s(literal -126 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2)))))) |
(+.f64 (fma.f64 #s(literal 18 binary64) (log.f64 x) (/.f64 #s(literal 126 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 (+.f64 #s(literal -126 binary64) (/.f64 #s(literal -31752 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ (log 1/128024064000) (* -18 (log (/ -1 x)))) |
(fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/128024064000 binary64))) |
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) |
(+.f64 (fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/128024064000 binary64))) (/.f64 #s(literal 126 binary64) (*.f64 x x))) |
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4))) |
(+.f64 (fma.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/128024064000 binary64))) (+.f64 (/.f64 #s(literal 126 binary64) (*.f64 x x)) (/.f64 #s(literal -126 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(* 1/2835 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/2835 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(/ -1/180 (pow x 2)) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
Compiled 94 590 to 3 487 computations (96.3% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 397 | 13 | 1 410 |
| Fresh | 6 | 11 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 407 | 32 | 1 439 |
| Status | Accuracy | Program |
|---|---|---|
| 95.9% | (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 96.2% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 95.9% | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 50.2% | (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) | |
| 95.8% | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) | |
| 96.5% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| 96.5% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| 96.3% | (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) | |
| 95.9% | (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) | |
| 95.9% | (/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) | |
| 96.3% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| 94.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) | |
| 96.3% | (-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))))) | |
| ✓ | 50.2% | (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
| 3.1% | (+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) (/.f64 #s(literal 42 binary64) (*.f64 x x))) | |
| 96.4% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| 27.6% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| ✓ | 96.2% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
| ✓ | 95.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
| 49.0% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) | |
| ✓ | 95.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 96.0% | (*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) | |
| ✓ | 96.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | 95.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 96.6% | (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) | |
| 96.3% | (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) | |
| 49.5% | (log1p.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 49.8% | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| ✓ | 50.3% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0% | (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) | |
| 48.7% | #s(literal 0 binary64) |
Compiled 1 937 to 548 computations (71.7% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) (/.f64 #s(literal 42 binary64) (*.f64 x x))) |
(-.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (log.f64 (+.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
3 calls:
| 29.0ms | x |
| 15.0ms | (/.f64 (sinh.f64 x) x) |
| 11.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | x |
| 96.6% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.6% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) (/.f64 #s(literal 42 binary64) (*.f64 x x))) |
(-.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (log.f64 (+.f64 x x))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
| Outputs |
|---|
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
3 calls:
| 33.0ms | (/.f64 (sinh.f64 x) x) |
| 14.0ms | x |
| 11.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | x |
| 96.6% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.6% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(log1p.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
3 calls:
| 35.0ms | (/.f64 (sinh.f64 x) x) |
| 10.0ms | x |
| 8.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | x |
| 96.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.5% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
3 calls:
| 15.0ms | (/.f64 (sinh.f64 x) x) |
| 7.0ms | x |
| 6.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
3 calls:
| 5.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 4.0ms | x |
| 3.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) x) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | x |
| 95.9% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.9% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | x |
| 95.9% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.9% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
3 calls:
| 2.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | x |
| 95.9% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.9% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 4.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 48.7% | 1 | (/.f64 (sinh.f64 x) x) |
| 48.7% | 1 | x |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 44× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 196 |
| 1 | 70 | 196 |
| 2 | 87 | 196 |
| 3 | 97 | 196 |
| 4 | 104 | 196 |
| 5 | 106 | 196 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (log1p.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) 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 -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 0 binary64) |
| 16 092× | accelerator-lowering-fma.f32 |
| 16 092× | accelerator-lowering-fma.f64 |
| 11 630× | accelerator-lowering-fma.f32 |
| 11 630× | accelerator-lowering-fma.f64 |
| 11 098× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 0 | 200 | 2174 |
| 1 | 549 | 2152 |
| 2 | 1433 | 2148 |
| 3 | 4278 | 2148 |
| 4 | 6893 | 2148 |
| 0 | 8105 | 2024 |
| 0 | 54 | 393 |
| 1 | 355 | 341 |
| 2 | 3364 | 341 |
| 0 | 8576 | 301 |
| 0 | 37 | 188 |
| 1 | 225 | 184 |
| 2 | 1837 | 184 |
| 0 | 8207 | 162 |
| 0 | 47 | 478 |
| 1 | 295 | 392 |
| 2 | 2520 | 264 |
| 0 | 9126 | 232 |
| 0 | 344 | 2918 |
| 1 | 966 | 2906 |
| 2 | 2589 | 2840 |
| 3 | 7136 | 2840 |
| 0 | 8022 | 2742 |
| 0 | 247 | 2464 |
| 1 | 688 | 2460 |
| 2 | 1794 | 2448 |
| 3 | 4560 | 2448 |
| 0 | 8133 | 2336 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 440 to 193 computations (56.1% saved)
(abs x)
Compiled 1 252 to 284 computations (77.3% saved)
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