Metrics for bug500 (missed optimization)

analyze0.0ms (0%)

Algorithm

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-sin: 0.0ms (0% of total)

ival-<: 0.0ms (0% of total)

sample1.1s (11.8%)

Results

900.0ms	7894×	1	valid
22.0ms	362×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 543.0ms

ival-sin: 239.0ms (44% of total)

backward-pass: 118.0ms (21.7% of total)

ival-sub: 104.0ms (19.1% of total)

ival-<: 54.0ms (9.9% of total)

ival-and: 17.0ms (3.1% of total)

const: 12.0ms (2.2% of total)

Bogosity

preprocess25.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	118	12
4	257	12
5	350	12
0	3	4
1	5	4
2	10	4
3	17	4
4	27	4
5	59	4
6	118	4
7	207	4
8	292	4
9	400	4
10	483	4
11	489	4
0	489	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (sin x) x)

Outputs
(- (sin x) x)
(-.f64 (sin.f64 x) x)

Call 2

Inputs
(- (sin x) x)
(- (sin (neg x)) (neg x))
(neg (- (sin (neg x)) (neg x)))

Outputs
(- (sin x) x)
(- (sin (neg x)) (neg x))
(- x (sin x))
(neg (- (sin (neg x)) (neg x)))
(- (sin x) x)

Symmetry

(negabs x)

explain86.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
91	-	-	`(-.f64 (sin.f64 x) x)`
0	-	-	`x`
0	-	-	`(sin.f64 x)`

Results

65.0ms	500×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 13.0ms (47.2% of total)

backward-pass: 7.0ms (25.4% of total)

ival-sub: 6.0ms (21.8% of total)

const: 1.0ms (3.6% of total)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(-.f64 (sin.f64 x) x)

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
1	5	7
2	10	7
3	17	7
4	27	7
5	59	7
6	118	7
7	207	7
8	292	7
9	400	7
10	483	7
11	489	7
0	489	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (sin x) x)
(sin x)
x

Outputs
(- (sin x) x)
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
x

localize48.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	67.7%	(-.f64 (sin.f64 x) x)

Results

31.0ms	250×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 6.0ms (44.6% of total)

backward-pass: 4.0ms (29.7% of total)

ival-sub: 3.0ms (22.3% of total)

const: 0.0ms (0% of total)

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (- (sin x) x)>
#<alt (sin x)>

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- (sin x) x)
0.0ms	x	@	inf	(- (sin x) x)
0.0ms	x	@	-inf	(- (sin x) x)
0.0ms	x	@	0	(sin x)
0.0ms	x	@	inf	(sin x)

rewrite285.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2502×	`/-lowering-/.f32`
2502×	`/-lowering-/.f64`
1972×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	18	6
2	155	6
3	1659	6
0	8817	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs
(- (sin x) x)
(sin x)

Outputs
(+.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) x))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) x (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) x)))
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (.f64 x (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (.f64 x (.f64 x x)))))
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) (.f64 x x) (.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x x))))
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))))))
(+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (.f64 x (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (/.f64 (.f64 x (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (.f64 x (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) x))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) x (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))) x)))
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (.f64 x (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (.f64 x (.f64 x x)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) (.f64 x x) (.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (*.f64 x x))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))))))
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(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 x (*.f64 x x)))))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1964×	`sum3-define`
1828×	`fnmadd-define`
1590×	`fma-lowering-fma.f32`
1590×	`fma-lowering-fma.f64`
1526×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	164
1	129	146
2	367	143
3	1194	131
4	3154	119
5	6318	119
0	8322	119

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)

Outputs
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval23.0ms (0.2%)

Compiler: Compiled 10690 to 620 computations (94.2% saved)

prune28.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	198	9	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	198	10	208

Accuracy

99.9%

Counts

208 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.1%	(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
	4.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))))
	51.6%	(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 x (sin.f64 x)))
✓	67.7%	(-.f64 (sin.f64 x) x)
	66.2%	(-.f64 x x)
▶	6.2%	(-.f64 #s(literal 0 binary64) x)
▶	99.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
	99.2%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
▶	99.3%	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
▶	98.7%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))

Compiler

Compiled 393 to 201 computations (48.9% saved)

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	64	(neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))
✓	cost-diff	6272	(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
✓	cost-diff	0	(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))

Rules

1882×	`sum3-define`
1708×	`sum5-define`
1648×	`sum4-define`
1618×	`fma-lowering-fma.f32`
1618×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	398
1	149	366
2	470	360
3	1420	359
4	4701	359
0	8116	359

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (* x x)) (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040)))))))
(* x (* x x))
x
(* x x)
(+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040))))))
-1/6
(* x (* x (+ 1/120 (* x (* x -1/5040)))))
(* x (+ 1/120 (* x (* x -1/5040))))
(+ 1/120 (* x (* x -1/5040)))
1/120
(* x (* x -1/5040))
(* x -1/5040)
-1/5040
(- 0 x)
0
x
(* x (* -1/6 (* x x)))
x
(* -1/6 (* x x))
-1/6
(* x x)
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))
x
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))
(* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))
(+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
-1/6
(* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(* x x)
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))
1/120
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(* x (+ -1/5040 (* x (* x 1/362880))))
(+ -1/5040 (* x (* x 1/362880)))
-1/5040
(* x (* x 1/362880))
(* x 1/362880)
1/362880
(+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))
(sin x)
x
(/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
(+ 1/2 (* -1/2 (cos (* x 2))))
1/2
(* -1/2 (cos (* x 2)))
-1/2
(cos (* x 2))
(* x 2)
2
(- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x)))))
(- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))
(* 1/2 (cos (* x 2)))
(* x (+ x (sin x)))
(+ x (sin x))
(neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x)))))))
(/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
(* x (* x x))
(* x x)

Outputs
(* (* x (* x x)) (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040)))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040))))))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
-1/6
#s(literal -1/6 binary64)
(* x (* x (+ 1/120 (* x (* x -1/5040)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(* x (+ 1/120 (* x (* x -1/5040))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(+ 1/120 (* x (* x -1/5040)))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))
1/120
#s(literal 1/120 binary64)
(* x (* x -1/5040))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* x -1/5040)
(*.f64 x #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(* x (* -1/6 (* x x)))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
x
(* -1/6 (* x x))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))))
x
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))))
(* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))))
(+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
1/120
#s(literal 1/120 binary64)
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))
(* x (+ -1/5040 (* x (* x 1/362880))))
(.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))
(+ -1/5040 (* x (* x 1/362880)))
(+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* x (* x 1/362880))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
(+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))
(+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))))
(sin x)
(sin.f64 x)
x
(/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
(+ 1/2 (* -1/2 (cos (* x 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* -1/2 (cos (* x 2)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
-1/2
#s(literal -1/2 binary64)
(cos (* x 2))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x)))))
(- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))
(* 1/2 (cos (* x 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(* x (+ x (sin x)))
(*.f64 x (+.f64 x (sin.f64 x)))
(+ x (sin x))
(+.f64 x (sin.f64 x))
(neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x)))))))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
(/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)

localize1.3s (13.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.6%	(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
✓	accuracy	98.5%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
✓	accuracy	98.5%	(/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/362880 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))))
✓	accuracy	100.0%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/5040 binary64)))

Results

1.1s	249×	5	exit
14.0ms	5×	2	valid
2.0ms	2×	0	valid

Compiler

Compiled 459 to 47 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

ival-sin: 316.0ms (43.2% of total)

backward-pass: 157.0ms (21.5% of total)

ival-mult: 86.0ms (11.8% of total)

ival-cos: 72.0ms (9.8% of total)

...c/correct-round.rkt:119:19: 29.0ms (4% of total)

ival-add: 24.0ms (3.3% of total)

compiled-spec: 19.0ms (2.6% of total)

ival-sub: 12.0ms (1.6% of total)

ival-div: 10.0ms (1.4% of total)

ival-neg: 4.0ms (0.5% of total)

const: 2.0ms (0.3% of total)

series23.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* (* x (* x x)) (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040)))))))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040))))))>
#<alt (- 0 x)>
#<alt (* x (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<alt (* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))>
#<alt (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))>
#<alt (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))>
#<alt (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))>
#<alt (+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))>
#<alt (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x)))))))>
#<alt (sin x)>
#<alt (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))>
#<alt (* x (* x -1/5040))>
#<alt (* x (* x (+ 1/120 (* x (* x -1/5040)))))>
#<alt (* x 1/362880)>
#<alt (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))>
#<alt (* x (* x 1/362880))>
#<alt (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))>
#<alt (+ 1/2 (* -1/2 (cos (* x 2))))>

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<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 -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (+ (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow x 3)) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3))))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) (+ (* -1 (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))))) x)) (* 1/2 (cos (* 2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/18 (pow x 2)) 1/3))>
#<alt (* x (- (* (pow x 2) (- (* -11/3240 (pow x 2)) 1/18)) 1/3))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/27216 (pow x 2)) 11/3240)) 1/18)) 1/3))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3)))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (* 2 x))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/18 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (- (* -1/3240 (pow x 2)) 1/18)))>
#<alt (+ 1/3 (* (pow x 2) (- (* (pow x 2) (- (* 11/45360 (pow x 2)) 1/3240)) 1/18)))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* -1 (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))>
#<alt (/ (- (+ 1/2 (+ (* -1 (/ (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (pow x 2))) (* -1/2 (cos (* 2 x))))) (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (pow x 2))>
#<alt (/ (- (+ 1/2 (+ (* -1 (/ (+ (* -1 (* (sin x) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))) (* -1 (* (sin x) (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3))) (* -1/2 (cos (* 2 x))))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow x 2))) (+ (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x) (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* -1 (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))) x)) (* -1 (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x)))))) x) (/ (* (sin x) (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))) x)) (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))) x)) (* -1 (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 x))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 x))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))
1.0ms	x	@	inf	(+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))
1.0ms	x	@	-inf	(/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
1.0ms	x	@	-inf	(+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))
1.0ms	x	@	inf	(/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))

rewrite412.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5364×	`-lowering-.f32`
5364×	`-lowering-.f64`
2850×	`/-lowering-/.f32`
2850×	`/-lowering-/.f64`
2314×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	266
1	297	197
2	2841	193
0	10239	193

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 597

Calls

Call 1

Inputs
(* (* x (* x x)) (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040)))))))
(* x (* x x))
(* x x)
(+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040))))))
(- 0 x)
(* x (* -1/6 (* x x)))
(* -1/6 (* x x))
(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))))
(* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))
(+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(+ (* (sin x) (/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))) (neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))))
(neg (/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x)))))))
(sin x)
(/ (+ 1/2 (* -1/2 (cos (* x 2)))) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
(* x (* x -1/5040))
(* x (* x (+ 1/120 (* x (* x -1/5040)))))
(* x 1/362880)
(* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(* x (* x 1/362880))
(/ (* x (* x x)) (- 1/2 (- (* 1/2 (cos (* x 2))) (* x (+ x (sin x))))))
(+ 1/2 (* -1/2 (cos (* x 2))))

Outputs
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (.f64 x x)) x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) x) (.f64 x x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) x)
(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) (.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) x)
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(.f64 #s(literal 1/362880 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/362880 binary64)) x)
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))))
(.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 x (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) x)
(.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x (sin.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))

simplify285.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3718×	`-lowering-.f32`
3718×	`-lowering-.f64`
2002×	`+-lowering-+.f64`
2002×	`+-lowering-+.f32`
1980×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	3054
1	1188	2566
2	4104	2528
0	8532	2528

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(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)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (+ (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow x 3)) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3))))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) (+ (* -1 (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))))) x)) (* 1/2 (cos (* 2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))
(* -1/3 x)
(* x (- (* -1/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -11/3240 (pow x 2)) 1/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/27216 (pow x 2)) 11/3240)) 1/18)) 1/3))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3)))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (* 2 x))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1/3
(+ 1/3 (* -1/18 (pow x 2)))
(+ 1/3 (* (pow x 2) (- (* -1/3240 (pow x 2)) 1/18)))
(+ 1/3 (* (pow x 2) (- (* (pow x 2) (- (* 11/45360 (pow x 2)) 1/3240)) 1/18)))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2))
(/ (+ 1/2 (+ (* -1 (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))
(/ (- (+ 1/2 (+ (* -1 (/ (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (pow x 2))) (* -1/2 (cos (* 2 x))))) (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (pow x 2))
(/ (- (+ 1/2 (+ (* -1 (/ (+ (* -1 (* (sin x) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))) (* -1 (* (sin x) (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3))) (* -1/2 (cos (* 2 x))))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x))))) (pow x 2))) (+ (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x) (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 2))))) (pow x 2))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2))
(/ (+ 1/2 (+ (* -1 (/ (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))
(/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x))))) x)) (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))) x)) (* -1 (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))
(/ (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x)))))) x) (/ (* (sin x) (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))) x)) (+ (* -1 (* (pow (sin x) 2) (+ 1/2 (* -1/2 (cos (* 2 x)))))) (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (- 1/2 (* 1/2 (cos (* 2 x))))))) x)) (* -1 (* (sin x) (+ 1/2 (* -1/2 (cos (* 2 x))))))) x)) (* -1/2 (cos (* 2 x))))) (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/18 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 x))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 x))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))

Outputs
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x)))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(* -1/5040 (pow x 4))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1/5040 (pow x 4))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
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(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 11/3240 binary64))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/3240 binary64) (.f64 (*.f64 x x) #s(literal -1/27216 binary64))))))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x)))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
(.f64 x (+.f64 (+.f64 (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (-.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 (sin.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x)))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(.f64 x (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) x) (sin.f64 x)) (-.f64 #s(literal 0 binary64) x))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 x))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 x))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))) x) (sin.f64 x)) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))

eval119.0ms (1.2%)

Compiler: Compiled 47493 to 2650 computations (94.4% saved)

prune115.0ms (1.2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	984	13	997
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	987	20	1007

Accuracy

100.0%

Counts

1007 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.8%	(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
✓	1.1%	(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
	4.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))))
	17.9%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x))))))
	99.3%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
✓	67.7%	(-.f64 (sin.f64 x) x)
	66.2%	(-.f64 x x)
	99.2%	(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))
▶	99.2%	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x) (*.f64 x x))
✓	99.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
	99.2%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
	98.7%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
▶	98.7%	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
	98.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	67.7%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
▶	99.3%	(.f64 x (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))
▶	99.3%	(.f64 x (.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))))
✓	99.3%	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
✓	98.7%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
▶	6.2%	(neg.f64 x)

Compiler

Compiled 1041 to 418 computations (59.8% saved)

simplify222.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
✓	cost-diff	0	(.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) x)
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x) (*.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))
✓	cost-diff	0	(.f64 x (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))

Rules

3178×	`-lowering-.f32`
3178×	`-lowering-.f64`
1924×	`fma-define`
1914×	`+-lowering-+.f64`
1914×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	612
1	128	539
2	474	528
3	2396	528
4	6734	528
0	8138	528

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
x
(* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))
(/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
(* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x)
(- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
1/36
(* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))
(* x x)
(+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))
1/120
(* (* x x) (+ -1/5040 (* x (* x 1/362880))))
(+ -1/5040 (* x (* x 1/362880)))
-1/5040
(* x (* x 1/362880))
(* x 1/362880)
1/362880
(- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
-1/6
(neg x)
x
(* (* x (* x -1/6)) x)
(* x (* x -1/6))
x
(* x -1/6)
-1/6
(* (* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x) (* x x))
(* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x)
(+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))
-1/6
(* x (* x (+ 1/120 (* (* x x) -1/5040))))
x
(* x (+ 1/120 (* (* x x) -1/5040)))
(+ 1/120 (* (* x x) -1/5040))
1/120
(* (* x x) -1/5040)
(* x x)
-1/5040
(* x (* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))))
x
(* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))))
(* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))
(/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
1
(/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))
(- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
-1/6
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))
(* x x)
(+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))
1/120
(* (* x x) (+ -1/5040 (* x (* x 1/362880))))
(+ -1/5040 (* x (* x 1/362880)))
-1/5040
(* x (* x 1/362880))
(* x 1/362880)
1/362880
(- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
1/36
(* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))

Outputs
(* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))))
x
(* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))
(/.f64 (.f64 x x) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))))))
(/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))) (/.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))))
(* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x)
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))))
(- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
(+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))))
1/36
#s(literal 1/36 binary64)
(* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
(.f64 x (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 x (*.f64 x x)))))
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
1/120
#s(literal 1/120 binary64)
(* (* x x) (+ -1/5040 (* x (* x 1/362880))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))
(+ -1/5040 (* x (* x 1/362880)))
(+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* x (* x 1/362880))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
(- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
(-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
-1/6
#s(literal -1/6 binary64)
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(* (* x (* x -1/6)) x)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(* x (* x -1/6))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
x
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x) (* x x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x)
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))
(+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
-1/6
#s(literal -1/6 binary64)
(* x (* x (+ 1/120 (* (* x x) -1/5040))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
x
(* x (+ 1/120 (* (* x x) -1/5040)))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(+ 1/120 (* (* x x) -1/5040))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))
1/120
#s(literal 1/120 binary64)
(* (* x x) -1/5040)
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* x x)
(*.f64 x x)
-1/5040
#s(literal -1/5040 binary64)
(* x (* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))))
x
(* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))))
(/.f64 (.f64 x x) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))))))
(* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))) (/.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))))
(/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))))
1
#s(literal 1 binary64)
(/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))
(/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))))
(- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
(-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
1/120
#s(literal 1/120 binary64)
(* (* x x) (+ -1/5040 (* x (* x 1/362880))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))
(+ -1/5040 (* x (* x 1/362880)))
(+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* x (* x 1/362880))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
(- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
(+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))))
1/36
#s(literal 1/36 binary64)
(* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))
(.f64 x (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))) (.f64 x (*.f64 x x)))))

localize304.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	99.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/362880 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/5040 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x) (*.f64 x x))
✓	accuracy	99.4%	(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) x)
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))
✓	accuracy	99.4%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x)
✓	accuracy	99.3%	(*.f64 x #s(literal 1/362880 binary64))

Results

182.0ms

256×

valid

Compiler

Compiled 948 to 38 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 33.0ms (48.7% of total)

...c/correct-round.rkt:119:19: 17.0ms (25.1% of total)

ival-div: 8.0ms (11.8% of total)

ival-add: 5.0ms (7.4% of total)

ival-sub: 2.0ms (3% of total)

ival-neg: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))>
#<alt (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))>
#<alt (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))>
#<alt (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x)>
#<alt (neg x)>
#<alt (* (* x (* x -1/6)) x)>
#<alt (* x (* x -1/6))>
#<alt (* x -1/6)>
#<alt (* (* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x) (* x x))>
#<alt (* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x)>
#<alt (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))>
#<alt (* x (* x (+ 1/120 (* (* x x) -1/5040))))>
#<alt (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))>
#<alt (* x (* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))))>
#<alt (* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))))>
#<alt (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))>
#<alt (* x 1/362880)>
#<alt (* x (* x 1/362880))>
#<alt (* (* x x) -1/5040)>
#<alt (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))>

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/14400 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400))))>
#<alt (* -1/131681894400 (pow x 13))>
#<alt (* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))>
#<alt (* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))>
#<alt (* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))>
#<alt (* -1/131681894400 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
0.0ms	x	@	0	(* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
0.0ms	x	@	-inf	(* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x)
0.0ms	x	@	inf	(* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x)
0.0ms	x	@	-inf	(* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))

rewrite598.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3944×	`-lowering-.f32`
3944×	`-lowering-.f64`
3358×	`/-lowering-/.f32`
3358×	`/-lowering-/.f64`
1966×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	369
1	225	211
2	1905	204
0	8756	204

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 624

Calls

Call 1

Inputs
(* x (* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
(* x (/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))
(/ (* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x) (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))
(* (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))) x)
(neg x)
(* (* x (* x -1/6)) x)
(* x (* x -1/6))
(* x -1/6)
(* (* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x) (* x x))
(* (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))) x)
(+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))
(* x (* x (+ 1/120 (* (* x x) -1/5040))))
(/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))
(* x (* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))))
(* x (* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))))))))
(* x (/ 1 (/ (- -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))) (- 1/36 (* (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))) (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880)))))))))))
(* x 1/362880)
(* x (* x 1/362880))
(* (* x x) -1/5040)
(* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* x (* x 1/362880))))))

Outputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))
(/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))
(/.f64 (.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x)))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
(/.f64 (neg.f64 (.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x)))))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
(.f64 x (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
(.f64 (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))) (*.f64 x x))
(.f64 (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))
(.f64 (/.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))))))
(.f64 (/.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (*.f64 x x))))))))
(.f64 (/.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))) (/.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))
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(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) (.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 (.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(pow.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal 1 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))
(.f64 x (pow.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))
(.f64 (.f64 x x) (pow.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) x)
(.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal 1 binary64)) (.f64 x x))

simplify331.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2788×	`-lowering-.f32`
2788×	`-lowering-.f64`
2702×	`+-lowering-+.f64`
2702×	`+-lowering-+.f32`
1840×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2289
1	441	2029
2	1331	1997
3	4398	1997
0	8361	1997

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/36 x)
(* x (+ 1/36 (* -1/14400 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400))))
(* -1/131681894400 (pow x 13))
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))
(* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))
(* -1/131681894400 (pow x 13))
(* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))

Outputs
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))))
(* 1/362880 (pow x 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/362880 (pow x 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))))
(* 1/362880 (pow x 7))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/362880 (pow x 7))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* x (+ 1/36 (* -1/14400 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/14400 binary64) (.f64 (*.f64 x x) #s(literal 1/302400 binary64))))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/14400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/302400 binary64) (.f64 x (*.f64 x #s(literal -13/152409600 binary64)))))))))
(* -1/131681894400 (pow x 13))
(*.f64 #s(literal -1/131681894400 binary64) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (.f64 x x))))
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 #s(literal -1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (.f64 x x))) (/.f64 #s(literal -13/152409600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal 1/914457600 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -13/152409600 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/131681894400 binary64) (/.f64 #s(literal 1/302400 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1/131681894400 (pow x 13))
(*.f64 #s(literal -1/131681894400 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (.f64 x x))))
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 #s(literal -1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (.f64 x x))) (/.f64 #s(literal -13/152409600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal 1/914457600 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -13/152409600 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/131681894400 binary64) (/.f64 #s(literal 1/302400 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
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(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/362880 (pow x 7))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))

eval219.0ms (2.3%)

Compiler: Compiled 83896 to 3376 computations (96% saved)

prune110.0ms (1.1%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	1254	10	1264
Fresh	4	6	10
Picked	3	2	5
Done	0	5	5
Total	1261	23	1284

Accuracy

100.0%

Counts

1284 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.8%	(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
✓	1.1%	(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
	4.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))))
	99.3%	(/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
	99.3%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
✓	67.7%	(-.f64 (sin.f64 x) x)
▶	66.2%	(-.f64 x x)
	99.3%	(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) x) (.f64 x #s(literal -1/6 binary64))) (.f64 x x))
	23.2%	(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
▶	99.1%	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))
✓	99.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
	99.2%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
	98.7%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
✓	98.7%	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
	98.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
▶	99.3%	(.f64 x (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
▶	99.3%	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))
▶	67.7%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
	99.2%	(.f64 x (.f64 x (/.f64 (.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))
	99.3%	(.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))
✓	99.3%	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
✓	98.7%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	6.2%	(neg.f64 x)

Compiler

Compiled 902 to 503 computations (44.2% saved)

simplify168.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/120 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))) x)
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))
✓	cost-diff	128	(-.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
✓	cost-diff	128	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))

Rules

1790×	`-lowering-.f32`
1790×	`-lowering-.f64`
1744×	`fma-define`
1618×	`distribute-lft-in`
1430×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	381
1	102	326
2	254	326
3	744	323
4	1915	322
5	4375	322
6	5955	322
0	8018	322

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
x
(/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))
(* x x)
(/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))
1
(+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))
1/120
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(* x (+ -1/5040 (* x (* x 1/362880))))
(+ -1/5040 (* x (* x 1/362880)))
-1/5040
(* x (* x 1/362880))
(* x 1/362880)
1/362880
-1/6
(- x x)
x
(* (* (+ -1/6 (* x (* x 1/120))) x) (* x x))
(* (+ -1/6 (* x (* x 1/120))) x)
(+ -1/6 (* x (* x 1/120)))
-1/6
(* x (* x 1/120))
x
(* x 1/120)
1/120
(* x x)
(* x (/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))
x
(/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
(/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))
1
(* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))
(+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))
1/120
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(* x (+ -1/5040 (* x (* x 1/362880))))
(+ -1/5040 (* x (* x 1/362880)))
-1/5040
(* x (* x 1/362880))
(* x 1/362880)
1/362880
-1/6
(* x (+ -1 (/ (sin x) x)))
x
(+ -1 (/ (sin x) x))
-1
(/ (sin x) x)
(sin x)

Outputs
(* x (/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
(.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)))
x
(/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)))
(* x x)
(*.f64 x x)
(/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)))
1
#s(literal 1 binary64)
(+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64))
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
1/120
#s(literal 1/120 binary64)
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))
(* x (+ -1/5040 (* x (* x 1/362880))))
(.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))
(+ -1/5040 (* x (* x 1/362880)))
(+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* x (* x 1/362880))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
-1/6
#s(literal -1/6 binary64)
(- x x)
#s(literal 0 binary64)
x
(* (* (+ -1/6 (* x (* x 1/120))) x) (* x x))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* (+ -1/6 (* x (* x 1/120))) x)
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(+ -1/6 (* x (* x 1/120)))
(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
-1/6
#s(literal -1/6 binary64)
(* x (* x 1/120))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
x
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(* x x)
(*.f64 x x)
(* x (/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))
(.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)))
x
(/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)))
(/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)))
1
#s(literal 1 binary64)
(* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))
(.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64)))
(+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))))) #s(literal -1/6 binary64))
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
(* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64)))))))
(+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))
(+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
1/120
#s(literal 1/120 binary64)
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))))
(* x (+ -1/5040 (* x (* x 1/362880))))
(.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))
(+ -1/5040 (* x (* x 1/362880)))
(+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* x (* x 1/362880))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
-1/6
#s(literal -1/6 binary64)
(* x (+ -1 (/ (sin x) x)))
(-.f64 (sin.f64 x) x)
x
(+ -1 (/ (sin x) x))
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
-1
#s(literal -1 binary64)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)

localize543.0ms (5.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.8%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
✓	accuracy	53.4%	(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/362880 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))
✓	accuracy	99.4%	(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))) x)
✓	accuracy	100.0%	(-.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/362880 binary64))

Results

396.0ms	252×	1	valid
66.0ms	4×	0	valid

Compiler

Compiled 453 to 35 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-mult: 117.0ms (41.9% of total)

ival-div: 48.0ms (17.2% of total)

ival-add: 40.0ms (14.3% of total)

...c/correct-round.rkt:119:19: 31.0ms (11.1% of total)

backward-pass: 26.0ms (9.3% of total)

ival-sin: 15.0ms (5.4% of total)

const: 1.0ms (0.4% of total)

ival-sub: 1.0ms (0.4% of total)

series13.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))>
#<alt (* x (/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))>
#<alt (* x x)>
#<alt (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))>
#<alt (- x x)>
#<alt (* (* (+ -1/6 (* x (* x 1/120))) x) (* x x))>
#<alt (* (+ -1/6 (* x (* x 1/120))) x)>
#<alt (+ -1/6 (* x (* x 1/120)))>
#<alt (* x (* x 1/120))>
#<alt (/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))>
#<alt (* x (/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))>
#<alt (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))>
#<alt (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))>
#<alt (* x (+ -1 (/ (sin x) x)))>
#<alt (+ -1 (/ (sin x) x))>
#<alt (/ (sin x) x)>
#<alt (sin x)>
#<alt (* x 1/362880)>
#<alt (* x (* x 1/362880))>
#<alt (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))>
#<alt (* x (* x (+ -1/5040 (* x (* x 1/362880)))))>
#<alt (* x 1/120)>

Outputs
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -6>
#<alt (- (* -3/10 (pow x 2)) 6)>
#<alt (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6)>
#<alt (/ 362880 (pow x 6))>
#<alt (/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))>
#<alt (/ 362880 (pow x 6))>
#<alt (/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (/ -6 x)>
#<alt (/ (- (* -3/10 (pow x 2)) 6) x)>
#<alt (/ (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) x)>
#<alt (/ 362880 (pow x 7))>
#<alt (/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 7))>
#<alt (/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 7))>
#<alt (/ 362880 (pow x 7))>
#<alt (/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (* -1 (/ (- (* -1 (/ (+ 26127360 (* 783820800 (/ 1 (pow x 2)))) (pow x 2))) 362880) (pow x 7)))>
#<alt (* -1 (/ (- (* 627056640 (/ 1 (pow x 6))) (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4))))) (pow x 7)))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt -1>
#<alt (- (/ (sin x) x) 1)>
#<alt (- (/ (sin x) x) 1)>
#<alt (- (/ (sin x) x) 1)>
#<alt -1>
#<alt (- (/ (sin x) x) 1)>
#<alt (- (/ (sin x) x) 1)>
#<alt (- (/ (sin x) x) 1)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/362880 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))>
#<alt (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))>
#<alt (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))>
#<alt (* 1/362880 (pow x 4))>
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 4))>
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
1.0ms	x	@	-inf	(* x (+ -1 (/ (sin x) x)))
0.0ms	x	@	inf	(* (* (+ -1/6 (* x (* x 1/120))) x) (* x x))
0.0ms	x	@	inf	(* x (+ -1 (/ (sin x) x)))
0.0ms	x	@	inf	(* x (* x (+ -1/5040 (* x (* x 1/362880)))))

rewrite397.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3564×	`-lowering-.f32`
3564×	`-lowering-.f64`
3506×	`/-lowering-/.f32`
3506×	`/-lowering-/.f64`
2054×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	223
1	208	189
2	1555	187
0	8237	187

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 697

Calls

Call 1

Inputs
(/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))
(* x (/ (* x x) (/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
(* x x)
(/ 1 (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))
(- x x)
(* (* (+ -1/6 (* x (* x 1/120))) x) (* x x))
(* (+ -1/6 (* x (* x 1/120))) x)
(+ -1/6 (* x (* x 1/120)))
(* x (* x 1/120))
(/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))))
(* x (/ x (/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))))
(/ 1 (* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6)))
(* x (+ (* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))) -1/6))
(* x (+ -1 (/ (sin x) x)))
(+ -1 (/ (sin x) x))
(/ (sin x) x)
(sin x)
(* x 1/362880)
(* x (* x 1/362880))
(* x (* x (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(* x 1/120)

Outputs
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) x) (.f64 (.f64 x #s(literal -1/6 binary64)) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 x x) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) x (.f64 (*.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))) x))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 x #s(literal -1/6 binary64)))))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))) #s(literal -1/6 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/362880 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/362880 binary64))) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 1/362880 binary64))) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/362880 binary64))) (.f64 x x)) (.f64 #s(literal -1/5040 binary64) (*.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) x)
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/47784725839872000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/362880 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/362880 binary64))) #s(literal -1/5040 binary64))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/131681894400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)

simplify275.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3402×	`-lowering-.f32`
3402×	`-lowering-.f64`
2626×	`+-lowering-+.f64`
2626×	`+-lowering-+.f32`
1188×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2198
1	455	1928
2	1305	1910
3	4441	1894
0	8659	1894

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6)
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
0
0
0
0
0
0
0
0
0
0
0
0
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(/ -6 x)
(/ (- (* -3/10 (pow x 2)) 6) x)
(/ (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) x)
(/ 362880 (pow x 7))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 7))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 7))
(/ 362880 (pow x 7))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 7))
(* -1 (/ (- (* -1 (/ (+ 26127360 (* 783820800 (/ 1 (pow x 2)))) (pow x 2))) 362880) (pow x 7)))
(* -1 (/ (- (* 627056640 (/ 1 (pow x 6))) (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4))))) (pow x 7)))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/362880 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)

Outputs
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
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(/ 362880 (pow x 7))
(/.f64 #s(literal 362880 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (+.f64 #s(literal 362880 binary64) (/.f64 #s(literal 26127360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* -1 (/ (+ 26127360 (* 783820800 (/ 1 (pow x 2)))) (pow x 2))) 362880) (pow x 7)))
(/.f64 (+.f64 #s(literal 362880 binary64) (/.f64 (+.f64 #s(literal 26127360 binary64) (/.f64 #s(literal 783820800 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 627056640 (/ 1 (pow x 6))) (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4))))) (pow x 7)))
(/.f64 (+.f64 (/.f64 #s(literal 26127360 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 783820800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 362880 binary64) (/.f64 #s(literal -627056640 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 binary64))))))))
(* 1/362880 (pow x 7))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/362880 (pow x 7))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))) (.f64 x (*.f64 x x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x)
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))))
-1
#s(literal -1 binary64)
(- (/ (sin x) x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
(- (/ (sin x) x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
(- (/ (sin x) x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
-1
#s(literal -1 binary64)
(- (/ (sin x) x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
(- (/ (sin x) x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
(- (/ (sin x) x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))) #s(literal 1 binary64))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))
(* 1/362880 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/362880 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/362880 binary64)))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))

eval149.0ms (1.5%)

Compiler: Compiled 39577 to 2846 computations (92.8% saved)

prune130.0ms (1.3%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1113	8	1121
Fresh	5	6	11
Picked	3	2	5
Done	2	5	7
Total	1123	21	1144

Accuracy

100.0%

Counts

1144 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.8%	(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
✓	1.1%	(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
	4.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))))
	99.2%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
	99.3%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
✓	67.7%	(-.f64 (sin.f64 x) x)
	99.1%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (*.f64 x x))
	23.2%	(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
✓	99.1%	(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))
✓	99.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
	98.7%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
	98.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	98.8%	(.f64 x (/.f64 (.f64 x x) #s(literal -6 binary64)))
	98.8%	(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
	99.4%	(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/1400 binary64) (.f64 (.f64 x x) #s(literal -17/126000 binary64))))))))))
	99.4%	(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x #s(literal -11/1400 binary64))))))))
	99.3%	(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))
✓	67.7%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
✓	99.3%	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
✓	6.2%	(neg.f64 x)
	66.2%	#s(literal 0 binary64)

Compiler

Compiled 1384 to 436 computations (68.5% saved)

regimes22.0ms (0.2%)

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x x)
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 x (/.f64 (.f64 x x) #s(literal -6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x #s(literal -11/1400 binary64))))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x) (*.f64 x x))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) x) (.f64 x #s(literal -1/6 binary64))) (.f64 x x))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/1400 binary64) (.f64 (.f64 x x) #s(literal -17/126000 binary64))))))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64))))))))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (*.f64 x x))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))
(.f64 x (.f64 x (/.f64 (.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (*.f64 x #s(literal 1/362880 binary64)))))))))))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) #s(literal -1/6 binary64))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
(.f64 x (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))))))
(.f64 x (.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64)))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x (.f64 x x))))))
(-.f64 (sin.f64 x) x)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))

Outputs

(*.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 x (+.f64 #s(literal -3/10 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/1400 binary64) (*.f64 (*.f64 x x) #s(literal -17/126000 binary64))))))))))

Calls

2 calls:

10.0ms	x
10.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes8.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x x)
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 x (/.f64 (.f64 x x) #s(literal -6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x #s(literal -11/1400 binary64))))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x) (*.f64 x x))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) x) (.f64 x #s(literal -1/6 binary64))) (.f64 x x))

Outputs
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x #s(literal -11/1400 binary64))))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x x)
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 x (/.f64 (.f64 x x) #s(literal -6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x) (*.f64 x x))

Outputs
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x x)
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 x (/.f64 (.f64 x x) #s(literal -6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))

Outputs
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x x)
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))

Outputs
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Accuracy

Total -38.8b remaining (-179.3%)

Threshold costs -38.8b (-179.3%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x x)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
66.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
12×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	66
1	53	66

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/1400 binary64) (.f64 (.f64 x x) #s(literal -17/126000 binary64))))))))))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x #s(literal -11/1400 binary64))))))))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
#s(literal 0 binary64)

Outputs
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/1400 binary64) (.f64 (.f64 x x) #s(literal -17/126000 binary64))))))))))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x (+.f64 #s(literal -3/10 binary64) (.f64 x (.f64 x #s(literal -11/1400 binary64))))))))
(.f64 x (/.f64 x (+.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x #s(literal -3/10 binary64)))))
(*.f64 x (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 0 binary64)

soundness1.9s (19.7%)

Rules

5364×	`-lowering-.f32`
5364×	`-lowering-.f64`
3944×	`-lowering-.f32`
3944×	`-lowering-.f64`
3564×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	164
1	129	146
2	367	143
3	1194	131
4	3154	119
5	6318	119
0	8322	119
0	47	266
1	297	197
2	2841	193
0	10239	193
0	172	2198
1	455	1928
2	1305	1910
3	4441	1894
0	8659	1894
0	34	223
1	208	189
2	1555	187
0	8237	187
0	37	369
1	225	211
2	1905	204
0	8756	204

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 132 to 80 computations (39.4% saved)

preprocess51.0ms (0.5%)

Remove: (negabs x)
Compiler: Compiled 296 to 180 computations (39.2% saved)

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	118	12
4	257	12
5	350	12
0	3	4
1	5	4
2	10	4
3	17	4
4	27	4
5	59	4
6	118	4
7	207	4
8	292	4
9	400	4
10	483	4
11	489	4
0	489	4

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	118	12
4	257	12
5	350	12
0	3	4
1	5	4
2	10	4
3	17	4
4	27	4
5	59	4
6	118	4
7	207	4
8	292	4
9	400	4
10	483	4
11	489	4
0	489	4

analyze0.0ms (0%)

sample1.1s (11.8%)

preprocess25.0ms (0.3%)

explain86.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize48.0ms (0.5%)

series1.0ms (0%)

rewrite285.0ms (3%)

simplify152.0ms (1.6%)

eval23.0ms (0.2%)

prune28.0ms (0.3%)

simplify143.0ms (1.5%)

localize1.3s (13.1%)

series23.0ms (0.2%)

rewrite412.0ms (4.3%)

simplify285.0ms (2.9%)

eval119.0ms (1.2%)

prune115.0ms (1.2%)

simplify222.0ms (2.3%)

localize304.0ms (3.2%)

series10.0ms (0.1%)

rewrite598.0ms (6.2%)

simplify331.0ms (3.4%)

eval219.0ms (2.3%)

prune110.0ms (1.1%)

simplify168.0ms (1.7%)

localize543.0ms (5.6%)

series13.0ms (0.1%)

rewrite397.0ms (4.1%)

simplify275.0ms (2.8%)

eval149.0ms (1.5%)

prune130.0ms (1.3%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

simplify8.0ms (0.1%)

soundness1.9s (19.7%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	118	12
4	257	12
5	350	12
0	3	4
1	5	4
2	10	4
3	17	4
4	27	4
5	59	4
6	118	4
7	207	4
8	292	4
9	400	4
10	483	4
11	489	4
0	489	4