
Time bar (total: 15.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
| 2.4s | 5 782× | 2 | valid |
| 475.0ms | 2 316× | 1 | valid |
| 11.0ms | 158× | 0 | valid |
ival-exp: 1.9s (74% of total)adjust: 239.0ms (9.5% of total)ival-sub: 138.0ms (5.5% of total)ival-add: 100.0ms (4% of total)ival-neg: 89.0ms (3.5% of total)ival-fabs: 52.0ms (2.1% of total)ival-<=: 24.0ms (0.9% of total)...in/eval/compile.rkt:110:19: 14.0ms (0.6% of total)ival-assert: 4.0ms (0.2% of total)| 2× | egg-herbie |
| 244× | accelerator-lowering-fma.f32 |
| 244× | accelerator-lowering-fma.f64 |
| 104× | +-lowering-+.f64 |
| 104× | +-lowering-+.f32 |
| 102× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 40 | 25 |
| 2 | 97 | 24 |
| 3 | 224 | 24 |
| 4 | 379 | 24 |
| 5 | 457 | 24 |
| 6 | 467 | 24 |
| 0 | 7 | 8 |
| 1 | 19 | 8 |
| 2 | 35 | 8 |
| 3 | 58 | 8 |
| 4 | 97 | 8 |
| 5 | 164 | 8 |
| 6 | 269 | 8 |
| 7 | 329 | 8 |
| 8 | 382 | 8 |
| 9 | 384 | 8 |
| 0 | 384 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
| Outputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
| Inputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(+ (- (exp (neg x)) 2) (exp (neg (neg x)))) |
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x))))) |
| Outputs |
|---|
(+ (- (exp x) 2) (exp (neg x))) |
(+ (+ (exp x) -2) (exp (neg x))) |
(+ (- (exp (neg x)) 2) (exp (neg (neg x)))) |
(+ (+ (exp x) -2) (exp (neg x))) |
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x))))) |
(- (- 2 (exp (neg x))) (exp x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 1 | (1.8555522305051005e-162) | 0 | - | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (459.1321882480979) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) | cancellation | 132 | 0 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 2 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 2 | 0 | 123 |
| number | freq |
|---|---|
| 0 | 123 |
| 1 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 183.0ms | 366× | 2 | valid |
| 128.0ms | 140× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
adjust: 119.0ms (46.4% of total)ival-exp: 114.0ms (44.4% of total)ival-sub: 10.0ms (3.9% of total)ival-add: 7.0ms (2.7% of total)ival-neg: 5.0ms (1.9% of total)...in/eval/compile.rkt:110:19: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.2% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 54.1% | (+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
| 244× | accelerator-lowering-fma.f32 |
| 244× | accelerator-lowering-fma.f64 |
| 104× | +-lowering-+.f64 |
| 104× | +-lowering-+.f32 |
| 102× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 27 | 42 |
| 2 | 42 | 42 |
| 3 | 61 | 42 |
| 4 | 98 | 42 |
| 5 | 164 | 42 |
| 6 | 269 | 42 |
| 7 | 329 | 42 |
| 8 | 382 | 42 |
| 9 | 384 | 42 |
| 0 | 384 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (exp x) (+ (/ 1 (exp x)) -2)) |
(exp x) |
x |
(+ (/ 1 (exp x)) -2) |
(/ 1 (exp x)) |
1 |
-2 |
(+ (- (exp x) 2) (exp (neg x))) |
(- (exp x) 2) |
(exp x) |
x |
2 |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(+ (exp x) (+ (/ 1 (exp x)) -2)) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(exp x) |
(exp.f64 x) |
x |
(+ (/ 1 (exp x)) -2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
-2 |
#s(literal -2 binary64) |
(+ (- (exp x) 2) (exp (neg x))) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp x) |
(exp.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 99.9% | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 54.0% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (exp.f64 x)) |
| ✓ | accuracy | 54.0% | (+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
| 91.0ms | 183× | 2 | valid |
| 13.0ms | 70× | 1 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 47 to 14 computations (70.2% saved)
ival-exp: 56.0ms (64.7% of total)ival-add: 9.0ms (10.4% of total)adjust: 8.0ms (9.2% of total)ival-div: 5.0ms (5.8% of total)ival-neg: 4.0ms (4.6% of total)ival-sub: 3.0ms (3.5% of total)...in/eval/compile.rkt:110:19: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (exp x) (+ (/ 1 (exp x)) -2))> |
#<alt (exp x)> |
#<alt (+ (/ 1 (exp x)) -2)> |
#<alt (/ 1 (exp x))> |
#<alt (+ (- (exp x) 2) (exp (neg x)))> |
#<alt (- (exp x) 2)> |
#<alt (exp (neg x))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* x (- (* 1/2 x) 1)) 1)> |
#<alt (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt (- (/ 1 (exp x)) 2)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* 1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (exp x) (+ (/ 1 (exp x)) -2)) |
| 0.0ms | x | @ | inf | (+ (exp x) (+ (/ 1 (exp x)) -2)) |
| 0.0ms | x | @ | 0 | (+ (exp x) (+ (/ 1 (exp x)) -2)) |
| 0.0ms | x | @ | 0 | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | inf | (+ (- (exp x) 2) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 4 398× | accelerator-lowering-fma.f32 |
| 4 398× | accelerator-lowering-fma.f64 |
| 3 802× | /-lowering-/.f32 |
| 3 802× | /-lowering-/.f64 |
| 3 728× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 82 | 29 |
| 2 | 784 | 29 |
| 0 | 8584 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (exp x) (+ (/ 1 (exp x)) -2)) |
(exp x) |
(+ (/ 1 (exp x)) -2) |
(/ 1 (exp x)) |
(+ (- (exp x) 2) (exp (neg x))) |
(- (exp x) 2) |
(exp (neg x)) |
| Outputs |
|---|
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)) |
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (exp.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)) |
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
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(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)))) (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
(/.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -2 binary64) (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
| 1× | egg-herbie |
| 12 210× | accelerator-lowering-fma.f32 |
| 12 210× | accelerator-lowering-fma.f64 |
| 3 610× | *-lowering-*.f32 |
| 3 610× | *-lowering-*.f64 |
| 1 988× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 505 |
| 1 | 178 | 503 |
| 2 | 415 | 490 |
| 3 | 1098 | 490 |
| 4 | 1854 | 490 |
| 5 | 3263 | 490 |
| 6 | 4338 | 490 |
| 7 | 5848 | 490 |
| 0 | 8124 | 453 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* 1/2 x) 1)) 1) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
(- (/ 1 (exp x)) 2) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* 1/2 x) 1)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
(- (/ 1 (exp x)) 2) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
Compiled 16 553 to 1 232 computations (92.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 702 | 8 | 710 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 704 | 8 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.6% | (fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| ▶ | 53.9% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| 53.7% | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) | |
| 53.1% | (+.f64 (exp.f64 x) #s(literal -1 binary64)) | |
| ▶ | 99.1% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
| 99.1% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| ▶ | 99.2% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| ▶ | 98.7% | (*.f64 x x) |
Compiled 200 to 130 computations (35% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 x) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 19456 | (fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| 15 444× | accelerator-lowering-fma.f32 |
| 15 444× | accelerator-lowering-fma.f64 |
| 3 448× | *-lowering-*.f32 |
| 3 448× | *-lowering-*.f64 |
| 2 550× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 242 |
| 1 | 106 | 242 |
| 2 | 299 | 236 |
| 3 | 814 | 236 |
| 4 | 1654 | 236 |
| 5 | 2084 | 236 |
| 6 | 2409 | 236 |
| 7 | 2914 | 236 |
| 8 | 3548 | 236 |
| 9 | 4608 | 236 |
| 10 | 6322 | 236 |
| 0 | 8779 | 211 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
x |
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
1 |
(* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) |
1/12 |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(* x x) |
(+ 1/360 (* (* x x) 1/20160)) |
1/360 |
(* (* x x) 1/20160) |
1/20160 |
(* x x) |
x |
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))) |
(* x x) |
x |
(+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))) |
1 |
(* (* x x) (+ 1/12 (* x (* x 1/360)))) |
(+ 1/12 (* x (* x 1/360))) |
1/12 |
(* x (* x 1/360)) |
(* x 1/360) |
1/360 |
(- (* 2 (cosh x)) 2) |
(* 2 (cosh x)) |
2 |
(cosh x) |
x |
(+ (* (exp (* x -1/2)) (exp (* x -1/2))) (+ (exp x) -2)) |
(exp (* x -1/2)) |
(* x -1/2) |
x |
-1/2 |
(+ (exp x) -2) |
(exp x) |
-2 |
| Outputs |
|---|
(* x (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
x |
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
1/12 |
#s(literal 1/12 binary64) |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ 1/360 (* (* x x) 1/20160)) |
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
1/360 |
#s(literal 1/360 binary64) |
(* (* x x) 1/20160) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/12 (* x (* x 1/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) |
(+ 1/12 (* x (* x 1/360))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x 1/360)) |
(*.f64 x (*.f64 x #s(literal 1/360 binary64))) |
(* x 1/360) |
(*.f64 x #s(literal 1/360 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(- (* 2 (cosh x)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(* 2 (cosh x)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
2 |
#s(literal 2 binary64) |
(cosh x) |
(cosh.f64 x) |
x |
(+ (* (exp (* x -1/2)) (exp (* x -1/2))) (+ (exp x) -2)) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(exp (* x -1/2)) |
(exp.f64 (*.f64 x #s(literal -1/2 binary64))) |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(+ (exp x) -2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp x) |
(exp.f64 x) |
-2 |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 99.9% | (+.f64 (exp.f64 x) #s(literal -2 binary64)) |
| ✓ | accuracy | 54.4% | (fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 53.9% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/360 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/360 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
| 236.0ms | 183× | 2 | valid |
| 35.0ms | 70× | 1 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 251 to 35 computations (86.1% saved)
ival-exp: 55.0ms (27% of total)ival-cosh: 55.0ms (27% of total)ival-mult: 39.0ms (19.1% of total)adjust: 18.0ms (8.8% of total)ival-add: 17.0ms (8.3% of total)...in/eval/compile.rkt:111:19: 15.0ms (7.4% of total)ival-sub: 3.0ms (1.5% of total)...in/eval/compile.rkt:110:19: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))))> |
#<alt (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))> |
#<alt (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))> |
#<alt (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))> |
#<alt (* x x)> |
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))> |
#<alt (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))> |
#<alt (* (* x x) (+ 1/12 (* x (* x 1/360))))> |
#<alt (- (* 2 (cosh x)) 2)> |
#<alt (* 2 (cosh x))> |
#<alt (cosh x)> |
#<alt (+ (* (exp (* x -1/2)) (exp (* x -1/2))) (+ (exp x) -2))> |
#<alt (exp (* x -1/2))> |
#<alt (* x -1/2)> |
#<alt (+ (exp x) -2)> |
#<alt (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))> |
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))> |
#<alt (* (* x x) 1/20160)> |
#<alt (* x 1/360)> |
#<alt (* x (* x 1/360))> |
#<alt (exp x)> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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 (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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 (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt (- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/8 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (exp (* -1/2 x))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* 1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (- (* 2 (cosh x)) 2) |
| 1.0ms | x | @ | inf | (* x (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
| 1.0ms | x | @ | inf | (- (* 2 (cosh x)) 2) |
| 0.0ms | x | @ | -inf | (+ (* (exp (* x -1/2)) (exp (* x -1/2))) (+ (exp x) -2)) |
| 0.0ms | x | @ | inf | (+ (* (exp (* x -1/2)) (exp (* x -1/2))) (+ (exp x) -2)) |
| 1× | batch-egg-rewrite |
| 5 622× | accelerator-lowering-fma.f32 |
| 5 622× | accelerator-lowering-fma.f64 |
| 3 996× | /-lowering-/.f32 |
| 3 996× | /-lowering-/.f64 |
| 3 674× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 194 |
| 1 | 208 | 194 |
| 2 | 1755 | 188 |
| 0 | 8916 | 167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(* x x) |
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))) |
(+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))) |
(* (* x x) (+ 1/12 (* x (* x 1/360)))) |
(- (* 2 (cosh x)) 2) |
(* 2 (cosh x)) |
(cosh x) |
(+ (* (exp (* x -1/2)) (exp (* x -1/2))) (+ (exp x) -2)) |
(exp (* x -1/2)) |
(* x -1/2) |
(+ (exp x) -2) |
(* x (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(* (* x x) 1/20160) |
(* x 1/360) |
(* x (* x 1/360)) |
(exp x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(fma.f64 x x (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) #s(literal -1 binary64))))) |
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(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) x) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x) |
(*.f64 x #s(literal 1/360 binary64)) |
(*.f64 #s(literal 1/360 binary64) x) |
(*.f64 x (*.f64 x #s(literal 1/360 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x) |
(exp.f64 x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 13 994× | accelerator-lowering-fma.f32 |
| 13 994× | accelerator-lowering-fma.f64 |
| 3 826× | *-lowering-*.f32 |
| 3 826× | *-lowering-*.f64 |
| 2 482× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2078 |
| 1 | 479 | 2078 |
| 2 | 1224 | 2034 |
| 3 | 3219 | 2034 |
| 4 | 5934 | 2034 |
| 0 | 8073 | 1926 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
(- (+ (exp x) (pow (exp (* -1/2 x)) 2)) 2) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2))) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(exp (* -1/2 x)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1/360 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* 1/20160 (pow x 5)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/20160 (pow x 5)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
Compiled 35 007 to 2 764 computations (92.1% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 095 | 13 | 1 108 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 097 | 19 | 1 116 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.6% | (fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| ▶ | 99.2% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
| ✓ | 53.9% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| 53.7% | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) | |
| 99.1% | (+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x x))) (*.f64 x x)) | |
| 53.1% | (+.f64 (exp.f64 x) #s(literal -1 binary64)) | |
| 99.1% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) | |
| 99.2% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) | |
| 99.1% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 52.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) | |
| 52.6% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) | |
| 99.2% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) | |
| 99.2% | (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) | |
| 98.7% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))))) | |
| ▶ | 24.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))))) |
| ▶ | 99.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| ▶ | 99.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| ▶ | 52.5% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
| ✓ | 98.7% | (*.f64 x x) |
Compiled 839 to 411 computations (51% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
| ✓ | cost-diff | 768 | (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
| ✓ | cost-diff | 768 | (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
| 12 880× | accelerator-lowering-fma.f32 |
| 12 880× | accelerator-lowering-fma.f64 |
| 4 914× | --lowering--.f32 |
| 4 914× | --lowering--.f64 |
| 4 772× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1157 |
| 1 | 224 | 889 |
| 2 | 803 | 813 |
| 3 | 2181 | 807 |
| 4 | 4332 | 807 |
| 5 | 7892 | 807 |
| 0 | 9476 | 726 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(* x x) |
x |
(- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
1 |
(* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) |
1/12 |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(+ 1/360 (* (* x x) 1/20160)) |
1/360 |
(* (* x x) 1/20160) |
1/20160 |
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(- 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(* x (* x (+ 1 (* x (* x 1/12))))) |
x |
(* x (+ 1 (* x (* x 1/12)))) |
(+ 1 (* x (* x 1/12))) |
1 |
(* x (* x 1/12)) |
(* x 1/12) |
1/12 |
(* x (* x (* x (* (* x (* x (* x (* x x)))) 1/20160)))) |
x |
(* x (* x (* (* x (* x (* x (* x x)))) 1/20160))) |
(* x (* (* x (* x (* x (* x x)))) 1/20160)) |
(* (* x (* x (* x (* x x)))) 1/20160) |
(* x (* x (* x (* x x)))) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
1/20160 |
(* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))))) |
x |
(* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))) |
(+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))) |
1 |
(* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))) |
(* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))) |
(+ 1/12 (* x (* x (* (* x x) 1/20160)))) |
1/12 |
(* x (* x (* (* x x) 1/20160))) |
(* x (* (* x x) 1/20160)) |
(* (* x x) 1/20160) |
(* x x) |
1/20160 |
(* x (* x (+ 1 (* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))))))) |
x |
(* x (+ 1 (* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))))))) |
(+ 1 (* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))))) |
1 |
(* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))))) |
(* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))) |
(+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))) |
1/12 |
(/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))) |
(+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) |
(* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) |
(* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) |
(* x (* x x)) |
(* x x) |
(* (* x (* x x)) 1/8193540096000) |
1/8193540096000 |
(* (* x x) (* (* x x) (* x x))) |
(* (* x x) (* x x)) |
(* (* x (* x x)) (* 1/46656000 (* x (* x x)))) |
(* 1/46656000 (* x (* x x))) |
1/46656000 |
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))) |
(* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) |
(* x (* x (* (* x x) 1/20160))) |
(* x (* (* x x) 1/20160)) |
(* (* x x) 1/20160) |
1/20160 |
(- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))) |
(* 1/129600 (* (* x x) (* x x))) |
1/129600 |
(* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)) |
(* (* x x) 1/360) |
1/360 |
| Outputs |
|---|
(/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))) (+.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) |
(* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))) (+.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))) |
(* x x) |
(*.f64 x x) |
x |
(- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))) (+.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))) |
(* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))) |
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
1/12 |
#s(literal 1/12 binary64) |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(+ 1/360 (* (* x x) 1/20160)) |
(+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
1/360 |
#s(literal 1/360 binary64) |
(* (* x x) 1/20160) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
1/20160 |
#s(literal 1/20160 binary64) |
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))) |
(- 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))) |
(* x (* x (+ 1 (* x (* x 1/12))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
x |
(* x (+ 1 (* x (* x 1/12)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+ 1 (* x (* x 1/12))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
1 |
#s(literal 1 binary64) |
(* x (* x 1/12)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* x 1/12) |
(*.f64 x #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x (* x (* (* x (* x (* x (* x x)))) 1/20160)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
x |
(* x (* x (* (* x (* x (* x (* x x)))) 1/20160))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))))) |
(* x (* (* x (* x (* x (* x x)))) 1/20160)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (* x (* x (* x (* x x)))) 1/20160) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64)))) |
(* x (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) |
x |
(* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) |
(+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
(* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
(+ 1/12 (* x (* x (* (* x x) 1/20160)))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x (* (* x x) 1/20160))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(* x (* (* x x) 1/20160)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))) |
(* (* x x) 1/20160) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(* x x) |
(*.f64 x x) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x (* x (+ 1 (* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))))))) |
x |
(* x (+ 1 (* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))))))) |
(+ 1 (* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))))) |
(* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))))) |
(+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))))))) |
1/12 |
#s(literal 1/12 binary64) |
(/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))))) |
(+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1/46656000 binary64)))) |
(* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (* x (* x x)) 1/8193540096000) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
1/8193540096000 |
#s(literal 1/8193540096000 binary64) |
(* (* x x) (* (* x x) (* x x))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (* x (* x x)) (* 1/46656000 (* x (* x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/46656000 binary64))) |
(* 1/46656000 (* x (* x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) |
1/46656000 |
#s(literal 1/46656000 binary64) |
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64)))))))))) |
(* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) |
(* x (* x (* (* x x) 1/20160))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(* x (* (* x x) 1/20160)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))) |
(* (* x x) 1/20160) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
1/20160 |
#s(literal 1/20160 binary64) |
(- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
(* 1/129600 (* (* x x) (* x x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) |
1/129600 |
#s(literal 1/129600 binary64) |
(* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (* x x) 1/360) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) |
| ✓ | accuracy | 20.0% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
| 187.0ms | 256× | 0 | valid |
Compiled 1 445 to 63 computations (95.6% saved)
...in/eval/compile.rkt:111:19: 78.0ms (51.5% of total)ival-mult: 54.0ms (35.6% of total)ival-add: 13.0ms (8.6% of total)ival-sub: 3.0ms (2% of total)ival-div: 3.0ms (2% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))> |
#<alt (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))))> |
#<alt (* x x)> |
#<alt (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))> |
#<alt (* x (* x (+ 1 (* x (* x 1/12)))))> |
#<alt (* x (+ 1 (* x (* x 1/12))))> |
#<alt (+ 1 (* x (* x 1/12)))> |
#<alt (* x (* x 1/12))> |
#<alt (* x (* x (* x (* (* x (* x (* x (* x x)))) 1/20160))))> |
#<alt (* x (* x (* (* x (* x (* x (* x x)))) 1/20160)))> |
#<alt (* x (* (* x (* x (* x (* x x)))) 1/20160))> |
#<alt (* (* x (* x (* x (* x x)))) 1/20160)> |
#<alt (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))))> |
#<alt (* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))))> |
#<alt (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))> |
#<alt (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))> |
#<alt (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x)))))> |
#<alt (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))> |
#<alt (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))> |
#<alt (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160))))> |
#<alt (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))> |
#<alt (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))> |
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))> |
#<alt (* (* x x) 1/20160)> |
#<alt (* x 1/12)> |
#<alt (* x (* x x))> |
#<alt (* x (* x (* x x)))> |
#<alt (* x (* x (* x (* x x))))> |
#<alt (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))> |
#<alt (* x (* (* x x) 1/20160))> |
#<alt (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))> |
#<alt (* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))))))> |
#<alt (* (* x (* x x)) 1/8193540096000)> |
#<alt (* (* x x) 1/360)> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/144 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))> |
#<alt (* -1/406425600 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* -1/406425600 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 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> |
#<alt (+ 1 (* -1/144 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))> |
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))> |
#<alt (* -1/406425600 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* -1/406425600 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) 1/20160)))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/46656000 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/46656000 (* 1/8193540096000 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/46656000 (* 1/8193540096000 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/46656000 (* 1/8193540096000 (pow x 6))))> |
#<alt (* 1/8193540096000 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6)))))> |
#<alt (* 1/8193540096000 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6)))))> |
#<alt (* 1/129600 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/129600 (* (pow x 2) (- (* 1/406425600 (pow x 2)) 1/7257600))))> |
#<alt (* (pow x 4) (+ 1/129600 (* (pow x 2) (- (* 1/406425600 (pow x 2)) 1/7257600))))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* (pow x 8) (- 1/406425600 (* 1/7257600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2)))))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* (pow x 8) (- 1/406425600 (* 1/7257600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2)))))> |
#<alt (* 1/129600 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2))))> |
#<alt (* -1/7257600 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600))> |
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600))> |
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600))> |
#<alt (* -1/7257600 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600))> |
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600))> |
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/406425600 (pow x 8))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/144 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))> |
#<alt (* 1/406425600 (pow x 10))> |
#<alt (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))> |
#<alt (* 1/406425600 (pow x 10))> |
#<alt (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (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 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* x (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* x (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/8193540096000 (pow x 3))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* x (+ 1 (* x (* x 1/12)))) |
| 1.0ms | x | @ | 0 | (* x (* (* x x) 1/20160)) |
| 1.0ms | x | @ | inf | (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) |
| 1.0ms | x | @ | 0 | (* x (* x (* (* x (* x (* x (* x x)))) 1/20160))) |
| 1.0ms | x | @ | 0 | (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 5 372× | *-lowering-*.f32 |
| 5 372× | *-lowering-*.f64 |
| 4 690× | accelerator-lowering-fma.f32 |
| 4 690× | accelerator-lowering-fma.f64 |
| 4 142× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 580 |
| 1 | 352 | 406 |
| 2 | 2975 | 372 |
| 0 | 8908 | 339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(* x x) |
(- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(* x (* x (+ 1 (* x (* x 1/12))))) |
(* x (+ 1 (* x (* x 1/12)))) |
(+ 1 (* x (* x 1/12))) |
(* x (* x 1/12)) |
(* x (* x (* x (* (* x (* x (* x (* x x)))) 1/20160)))) |
(* x (* x (* (* x (* x (* x (* x x)))) 1/20160))) |
(* x (* (* x (* x (* x (* x x)))) 1/20160)) |
(* (* x (* x (* x (* x x)))) 1/20160) |
(* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))))) |
(* x (+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))) |
(+ 1 (* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))))) |
(* x (* x (+ 1/12 (* x (* x (* (* x x) 1/20160)))))) |
(+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) |
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360)))) |
(- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))) |
(* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) |
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(* (* x x) 1/20160) |
(* x 1/12) |
(* x (* x x)) |
(* x (* x (* x x))) |
(* x (* x (* x (* x x)))) |
(* x (+ 1/12 (* x (* x (* (* x x) 1/20160))))) |
(* x (* (* x x) 1/20160)) |
(/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))) |
(* x (+ 1/12 (/ (+ (* (* (* x (* x x)) (* (* x (* x x)) 1/8193540096000)) (* (* x x) (* (* x x) (* x x)))) (* (* x (* x x)) (* 1/46656000 (* x (* x x))))) (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x (* (* x x) 1/20160)))) (- (* 1/129600 (* (* x x) (* x x))) (* (* x (* x (* (* x x) 1/20160))) (* (* x x) 1/360))))))) |
(* (* x (* x x)) 1/8193540096000) |
(* (* x x) 1/360) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(*.f64 x (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(*.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64))))) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/144 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64))))) #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64))))) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))) x)) (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64))))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1/360 binary64)))))) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/20160 binary64))) #s(literal 3 binary64))) |
(pow.f64 (*.f64 x #s(literal 1/20160 binary64)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/8193540096000 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(*.f64 #s(literal 1/8193540096000 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/8193540096000 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/20160 binary64)))) |
(*.f64 (*.f64 #s(literal 1/8193540096000 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/360 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x) |
| 1× | egg-herbie |
| 13 610× | accelerator-lowering-fma.f32 |
| 13 610× | accelerator-lowering-fma.f64 |
| 4 884× | *-lowering-*.f32 |
| 4 884× | *-lowering-*.f64 |
| 4 180× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 3238 |
| 1 | 692 | 3188 |
| 2 | 1782 | 3168 |
| 3 | 4544 | 3158 |
| 0 | 9043 | 3009 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/144 (pow x 4)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))) |
(* -1/406425600 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* -1/406425600 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 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 |
(+ 1 (* -1/144 (pow x 4))) |
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))) |
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))) |
(* -1/406425600 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* -1/406425600 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 8)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 7)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 6)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(* 1/20160 (pow x 5)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) 1/20160))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/46656000 (pow x 6)) |
(* (pow x 6) (+ 1/46656000 (* 1/8193540096000 (pow x 6)))) |
(* (pow x 6) (+ 1/46656000 (* 1/8193540096000 (pow x 6)))) |
(* (pow x 6) (+ 1/46656000 (* 1/8193540096000 (pow x 6)))) |
(* 1/8193540096000 (pow x 12)) |
(* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6))))) |
(* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6))))) |
(* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6))))) |
(* 1/8193540096000 (pow x 12)) |
(* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6))))) |
(* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6))))) |
(* (pow x 12) (+ 1/8193540096000 (* 1/46656000 (/ 1 (pow x 6))))) |
(* 1/129600 (pow x 4)) |
(* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2)))) |
(* (pow x 4) (+ 1/129600 (* (pow x 2) (- (* 1/406425600 (pow x 2)) 1/7257600)))) |
(* (pow x 4) (+ 1/129600 (* (pow x 2) (- (* 1/406425600 (pow x 2)) 1/7257600)))) |
(* 1/406425600 (pow x 8)) |
(* (pow x 8) (- 1/406425600 (* 1/7257600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2))))) |
(* 1/406425600 (pow x 8)) |
(* (pow x 8) (- 1/406425600 (* 1/7257600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/406425600 (/ 1/129600 (pow x 4))) (* 1/7257600 (/ 1 (pow x 2))))) |
(* 1/129600 (pow x 4)) |
(* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2)))) |
(* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2)))) |
(* (pow x 4) (+ 1/129600 (* -1/7257600 (pow x 2)))) |
(* -1/7257600 (pow x 6)) |
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600)) |
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600)) |
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600)) |
(* -1/7257600 (pow x 6)) |
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600)) |
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600)) |
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 2))) 1/7257600)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/406425600 (pow x 8)) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/144 (pow x 2)) |
(* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2)))) |
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2)))))) |
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2)))))))) |
(* 1/406425600 (pow x 10)) |
(* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(* 1/406425600 (pow x 10)) |
(* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/20160 (pow x 4)))) |
(* x (+ 1/12 (* 1/20160 (pow x 4)))) |
(* x (+ 1/12 (* 1/20160 (pow x 4)))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/8193540096000 (pow x 3)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/144 (pow x 4)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/2160 binary64)))))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2160 binary64) (*.f64 (*.f64 x x) #s(literal -29/1814400 binary64)))))))) |
(* -1/406425600 (pow x 14)) |
(*.f64 #s(literal -1/406425600 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x)))) |
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -29/1814400 binary64) (/.f64 #s(literal -1/2160 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x))))) |
(* -1/406425600 (pow x 14)) |
(*.f64 #s(literal -1/406425600 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x)))) |
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -29/1814400 binary64) (/.f64 #s(literal -1/2160 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/144 (pow x 4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))) |
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/2160 binary64))))) |
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2160 binary64) (*.f64 (*.f64 x x) #s(literal -29/1814400 binary64))))))) |
(* -1/406425600 (pow x 12)) |
(*.f64 #s(literal -1/406425600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(*.f64 (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
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(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/406425600 (pow x 10)) |
(*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/20160 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* x (+ 1/12 (* 1/20160 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* x (+ 1/12 (* 1/20160 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/20160 (pow x 5)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/20160 (pow x 5)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* 1/20160 (pow x 5)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* 1/20160 (pow x 5)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/8193540096000 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
Compiled 161 421 to 7 931 computations (95.1% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 147 | 13 | 2 160 |
| Fresh | 5 | 6 | 11 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 157 | 22 | 2 179 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.6% | (fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| ▶ | 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| 99.2% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) #s(literal 29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) | |
| ✓ | 53.9% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| 53.7% | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) | |
| ▶ | 99.1% | (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
| 53.1% | (+.f64 (exp.f64 x) #s(literal -1 binary64)) | |
| ▶ | 99.2% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
| 99.1% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) | |
| 99.1% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) | |
| 52.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) | |
| 52.6% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) | |
| 99.2% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) | |
| 99.0% | (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) | |
| 52.5% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 24.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/7257600 binary64)))))))))))) | |
| 98.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) | |
| ▶ | 52.9% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
| ▶ | 52.9% | (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | 98.7% | (*.f64 x x) |
Compiled 1 043 to 515 computations (50.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
| 12 782× | accelerator-lowering-fma.f32 |
| 12 782× | accelerator-lowering-fma.f64 |
| 5 680× | *-lowering-*.f32 |
| 5 680× | *-lowering-*.f64 |
| 2 598× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 515 |
| 1 | 144 | 479 |
| 2 | 461 | 477 |
| 3 | 1537 | 477 |
| 4 | 3042 | 473 |
| 5 | 5821 | 473 |
| 0 | 8303 | 422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) (* x x)) |
(+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) |
1 |
(* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) |
x |
(* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))) |
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) |
1/12 |
(* x (* x (+ 1/360 (* (* x x) 1/20160)))) |
(* x (+ 1/360 (* (* x x) 1/20160))) |
(+ 1/360 (* (* x x) 1/20160)) |
1/360 |
(* (* x x) 1/20160) |
(* x x) |
1/20160 |
(* x (* 1/12 (* x (* x x)))) |
x |
(* 1/12 (* x (* x x))) |
1/12 |
(* x (* x x)) |
(* x x) |
(+ (* (* x (* x 1/12)) (* x x)) (* x x)) |
(* (* x (* x 1/12)) (* x x)) |
(* x (* x 1/12)) |
x |
(* x 1/12) |
1/12 |
(* x x) |
(* x (* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))))) |
x |
(* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x))))))) |
(* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))) |
(* x x) |
(+ 1/12 (* 1/20160 (* x (* x (* x x))))) |
1/12 |
(* 1/20160 (* x (* x (* x x)))) |
1/20160 |
(* x (* x (* x x))) |
(* x (* x x)) |
(/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) 1/12))) |
(* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(* x x) |
x |
(- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
1 |
(* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) |
1/12 |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(+ 1/360 (* (* x x) 1/20160)) |
1/360 |
(* (* x x) 1/20160) |
1/20160 |
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(- 1 (* (* x x) 1/12)) |
(* (* x x) 1/12) |
| Outputs |
|---|
(* (+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) (* x x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
x |
(* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x (+ 1/360 (* (* x x) 1/20160)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* x (+ 1/360 (* (* x x) 1/20160))) |
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(+ 1/360 (* (* x x) 1/20160)) |
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
1/360 |
#s(literal 1/360 binary64) |
(* (* x x) 1/20160) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* x x) |
(*.f64 x x) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x (* 1/12 (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
x |
(* 1/12 (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ (* (* x (* x 1/12)) (* x x)) (* x x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
(* (* x (* x 1/12)) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
(* x (* x 1/12)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
x |
(* x 1/12) |
(*.f64 x #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(* x x) |
(*.f64 x x) |
(* x (* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
x |
(* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* x x) |
(*.f64 x x) |
(+ 1/12 (* 1/20160 (* x (* x (* x x))))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
1/12 |
#s(literal 1/12 binary64) |
(* 1/20160 (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
1/20160 |
#s(literal 1/20160 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) 1/12))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))))))) |
(* x x) |
(*.f64 x x) |
x |
(- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
1/12 |
#s(literal 1/12 binary64) |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(+ 1/360 (* (* x x) 1/20160)) |
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
1/360 |
#s(literal 1/360 binary64) |
(* (* x x) 1/20160) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
1/20160 |
#s(literal 1/20160 binary64) |
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(- 1 (* (* x x) 1/12)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) |
(* (* x x) 1/12) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
| 71.0ms | 256× | 0 | valid |
Compiled 545 to 40 computations (92.7% saved)
ival-mult: 30.0ms (60.8% of total)...in/eval/compile.rkt:111:19: 9.0ms (18.2% of total)ival-add: 6.0ms (12.2% of total)ival-sub: 2.0ms (4.1% of total)ival-div: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) (* x x))> |
#<alt (+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))> |
#<alt (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))> |
#<alt (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))> |
#<alt (* x (* 1/12 (* x (* x x))))> |
#<alt (* 1/12 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (+ (* (* x (* x 1/12)) (* x x)) (* x x))> |
#<alt (* (* x (* x 1/12)) (* x x))> |
#<alt (* x (* x 1/12))> |
#<alt (* x 1/12)> |
#<alt (* x (* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x))))))))> |
#<alt (* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))))> |
#<alt (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x))))))> |
#<alt (/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) 1/12)))> |
#<alt (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))))> |
#<alt (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))> |
#<alt (* x (+ 1/360 (* (* x x) 1/20160)))> |
#<alt (* x (* x (+ 1/360 (* (* x x) 1/20160))))> |
#<alt (* x (* x (* x x)))> |
#<alt (* (* x x) 1/12)> |
#<alt (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))> |
#<alt (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))> |
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* -1/2160 (pow x 4))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 4) (- (* -11/201600 (pow x 2)) 1/2160))))))> |
#<alt (* 1/33868800 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/33868800 (* 31/8467200 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (* 31/8467200 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (+ (* 31/8467200 (/ 1 (pow x 2))) (* 493/58800 (/ 1 (pow x 6)))))))> |
#<alt (* 1/33868800 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/33868800 (* 31/8467200 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (* 31/8467200 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (+ (* 31/8467200 (/ 1 (pow x 2))) (* 493/58800 (/ 1 (pow x 6)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1/144 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))> |
#<alt (* -1/406425600 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* -1/406425600 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/144 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))> |
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))> |
#<alt (* -1/406425600 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* -1/406425600 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* 1/360 x)> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 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 (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/144 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))> |
#<alt (* 1/406425600 (pow x 10))> |
#<alt (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))> |
#<alt (* 1/406425600 (pow x 10))> |
#<alt (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) 1/12))) |
| 0.0ms | x | @ | 0 | (/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) 1/12))) |
| 0.0ms | x | @ | inf | (* x (* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))))) |
| 0.0ms | x | @ | inf | (* x (* 1/12 (* x (* x x)))) |
| 0.0ms | x | @ | inf | (* 1/12 (* x (* x x))) |
| 1× | batch-egg-rewrite |
| 6 464× | accelerator-lowering-fma.f32 |
| 6 464× | accelerator-lowering-fma.f64 |
| 4 168× | *-lowering-*.f32 |
| 4 168× | *-lowering-*.f64 |
| 4 010× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 375 |
| 1 | 250 | 311 |
| 2 | 1876 | 297 |
| 0 | 8327 | 269 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) (* x x)) |
(+ 1 (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))) |
(* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) |
(* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))) |
(* x (* 1/12 (* x (* x x)))) |
(* 1/12 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(+ (* (* x (* x 1/12)) (* x x)) (* x x)) |
(* (* x (* x 1/12)) (* x x)) |
(* x (* x 1/12)) |
(* x 1/12) |
(* x (* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))))) |
(* x (* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x))))))) |
(* (* x x) (+ 1/12 (* 1/20160 (* x (* x (* x x)))))) |
(/ (* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) (- 1 (* (* x x) 1/12))) |
(* (* x x) (- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))) |
(- 1 (* (* x x) (* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))) |
(* x (+ 1/360 (* (* x x) 1/20160))) |
(* x (* x (+ 1/360 (* (* x x) 1/20160)))) |
(* x (* x (* x x))) |
(* (* x x) 1/12) |
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))) |
(* (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))) |
(* (* x x) (+ 1/360 (* (* x x) 1/20160))) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x))) |
(fma.f64 x x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(fma.f64 x x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal -1 binary64))))) |
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(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) x (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) x) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))) |
| 1× | egg-herbie |
| 15 910× | accelerator-lowering-fma.f32 |
| 15 910× | accelerator-lowering-fma.f64 |
| 4 554× | *-lowering-*.f32 |
| 4 554× | *-lowering-*.f64 |
| 2 758× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2640 |
| 1 | 636 | 2640 |
| 2 | 1709 | 2596 |
| 3 | 4729 | 2588 |
| 4 | 7891 | 2588 |
| 0 | 8129 | 2438 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 4) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 4) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 3) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 3) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* -1/2160 (pow x 4)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 4) (- (* -11/201600 (pow x 2)) 1/2160)))))) |
(* 1/33868800 (pow x 12)) |
(* (pow x 12) (+ 1/33868800 (* 31/8467200 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (* 31/8467200 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (+ (* 31/8467200 (/ 1 (pow x 2))) (* 493/58800 (/ 1 (pow x 6))))))) |
(* 1/33868800 (pow x 12)) |
(* (pow x 12) (+ 1/33868800 (* 31/8467200 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (* 31/8467200 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/33868800 (+ (/ 499/2116800 (pow x 4)) (+ (* 31/8467200 (/ 1 (pow x 2))) (* 493/58800 (/ 1 (pow x 6))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/144 (pow x 4)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))) |
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))) |
(* -1/406425600 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* -1/406425600 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1/144 (pow x 4))) |
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))) |
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))) |
(* -1/406425600 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* -1/406425600 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600)) |
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))) |
(* 1/360 x) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 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) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/144 (pow x 2)) |
(* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2)))) |
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2)))))) |
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2)))))))) |
(* 1/406425600 (pow x 10)) |
(* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(* 1/406425600 (pow x 10)) |
(* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
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(*.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))) (/.f64 #s(literal 29/1814400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 10) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x)) (+.f64 #s(literal 1/406425600 binary64) (+.f64 (/.f64 #s(literal 29/1814400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
Compiled 75 136 to 4 456 computations (94.1% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 492 | 11 | 1 503 |
| Fresh | 2 | 12 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 498 | 27 | 1 525 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.6% | (fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 29/1814400 binary64) (*.f64 (*.f64 x x) #s(literal 1/3628800 binary64)))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x #s(literal 1/2160 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 99.2% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) #s(literal 29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) | |
| 99.1% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2160 binary64) (*.f64 x (*.f64 x #s(literal -29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 99.0% | (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| ✓ | 53.9% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| 53.7% | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) | |
| 53.1% | (+.f64 (exp.f64 x) #s(literal -1 binary64)) | |
| 99.1% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) | |
| ✓ | 99.2% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
| 52.9% | (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 99.1% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) | |
| 52.6% | (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) | |
| 52.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) | |
| 52.6% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) | |
| 99.2% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) | |
| 99.0% | (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) | |
| 52.5% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 52.9% | (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) | |
| 24.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/7257600 binary64)))))))))))) | |
| ✓ | 98.7% | (*.f64 x x) |
Compiled 1 975 to 630 computations (68.1% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x x))) (*.f64 x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x #s(literal 1/2160 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2160 binary64) (*.f64 x (*.f64 x #s(literal -29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 29/1814400 binary64) (*.f64 (*.f64 x x) #s(literal 1/3628800 binary64)))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) #s(literal 29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/7257600 binary64)))))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/46656000 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
2 calls:
| 12.0ms | x |
| 10.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x x))) (*.f64 x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x)) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x #s(literal 1/2160 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2160 binary64) (*.f64 x (*.f64 x #s(literal -29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 29/1814400 binary64) (*.f64 (*.f64 x x) #s(literal 1/3628800 binary64)))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) #s(literal 29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x x))) (*.f64 x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
| Outputs |
|---|
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x x))) (*.f64 x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x x))) (*.f64 x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
| Outputs |
|---|
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -29.3b remaining (-3621%)
Threshold costs -29.3b (-3621%)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)) |
| Outputs |
|---|
(*.f64 x x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 80× | *-commutative_binary64 |
| 50× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 183 |
| 1 | 99 | 183 |
| 2 | 121 | 183 |
| 3 | 141 | 183 |
| 4 | 161 | 183 |
| 5 | 174 | 183 |
| 6 | 189 | 183 |
| 7 | 196 | 183 |
| 8 | 200 | 183 |
| 9 | 201 | 183 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)) |
(*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 x (+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x x) |
| 13 994× | accelerator-lowering-fma.f32 |
| 13 994× | accelerator-lowering-fma.f64 |
| 12 210× | accelerator-lowering-fma.f32 |
| 12 210× | accelerator-lowering-fma.f64 |
| 5 622× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2078 |
| 1 | 479 | 2078 |
| 2 | 1224 | 2034 |
| 3 | 3219 | 2034 |
| 4 | 5934 | 2034 |
| 0 | 8073 | 1926 |
| 0 | 33 | 194 |
| 1 | 208 | 194 |
| 2 | 1755 | 188 |
| 0 | 8916 | 167 |
| 0 | 7 | 8 |
| 1 | 19 | 8 |
| 2 | 35 | 8 |
| 3 | 58 | 8 |
| 4 | 97 | 8 |
| 5 | 164 | 8 |
| 6 | 269 | 8 |
| 7 | 329 | 8 |
| 8 | 382 | 8 |
| 9 | 384 | 8 |
| 0 | 384 | 8 |
| 0 | 57 | 580 |
| 1 | 352 | 406 |
| 2 | 2975 | 372 |
| 0 | 8908 | 339 |
| 0 | 67 | 505 |
| 1 | 178 | 503 |
| 2 | 415 | 490 |
| 3 | 1098 | 490 |
| 4 | 1854 | 490 |
| 5 | 3263 | 490 |
| 6 | 4338 | 490 |
| 7 | 5848 | 490 |
| 0 | 8124 | 453 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 376 to 176 computations (53.2% saved)
(abs x)
Compiled 782 to 226 computations (71.1% saved)
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