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)

sample1.4s (16.8%)

Results

895.0ms	7886×	1	valid
24.0ms	370×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 557.0ms

ival-sin: 231.0ms (41.5% of total)

backward-pass: 122.0ms (21.9% of total)

ival-sub: 103.0ms (18.5% of total)

ival-<: 79.0ms (14.2% of total)

const: 12.0ms (2.2% of total)

ival-and: 10.0ms (1.8% of total)

Bogosity

preprocess30.0ms (0.4%)

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)

explain80.0ms (1%)

FPErrors

Click to see full error table

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

Results

60.0ms	492×	1	valid
1.0ms	20×	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: 14.0ms (50.7% of total)

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

ival-sub: 6.0ms (21.7% 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
▶	71.2%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify14.0ms (0.2%)

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

localize38.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	71.2%	(-.f64 (sin.f64 x) x)

Results

30.0ms	246×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 7.0ms (48.8% of total)

ival-sub: 4.0ms (27.9% of total)

backward-pass: 3.0ms (20.9% 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	@	0	(sin x)
0.0ms	x	@	-inf	(- (sin x) x)
0.0ms	x	@	inf	(sin x)

rewrite283.0ms (3.4%)

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))

simplify150.0ms (1.8%)

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)

eval22.0ms (0.3%)

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

prune32.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	196	11	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	12	208

Accuracy

99.9%

Counts

208 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(fma.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 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	26.1%	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	5.2%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x (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 x x))))
	70.4%	(-.f64 (.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)
	70.1%	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
✓	71.2%	(-.f64 (sin.f64 x) x)
	68.9%	(-.f64 x x)
▶	6.3%	(-.f64 #s(literal 0 binary64) x)
▶	99.2%	(.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))))))))
▶	98.8%	(.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))))))))))))
▶	98.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))

Compiler

Compiled 369 to 227 computations (38.5% saved)

simplify188.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.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	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.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))))))))
✓	cost-diff	(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
✓	cost-diff	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	cost-diff	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	cost-diff	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	(+.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	(.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	(.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	(.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))))))))))))

Rules

6256×	`sum5-define`
4000×	`sum4-define`
2490×	`sum3-define`
1380×	`fma-define`
1232×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	256
1	114	225
2	386	225
3	1062	225
4	2473	225
5	3889	225
6	4078	225
7	4158	225
8	4158	225
9	4158	225
10	7184	225
11	7189	225
12	7189	225
13	7189	225
0	10317	225

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 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
(- 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 x) (+ -1/6 (* x (* x 1/120))))
(* x x)
(+ -1/6 (* x (* x 1/120)))
-1/6
(* x (* x 1/120))
(* x 1/120)
1/120
(* (* 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

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

localize199.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
✓	accuracy	99.8%	(.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	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/5040 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	99.7%	(.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	99.4%	(.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	99.3%	(*.f64 x #s(literal 1/362880 binary64))

Results

147.0ms

256×

valid

Compiler

Compiled 309 to 35 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 33.0ms (60% of total)

...c/correct-round.rkt:119:19: 13.0ms (23.6% of total)

ival-add: 7.0ms (12.7% of total)

ival-sub: 1.0ms (1.8% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<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 (- 0 x)>
#<alt (* x (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<alt (* x x)>
#<alt (* x (* (* x x) (+ -1/6 (* x (* x 1/120)))))>
#<alt (* (* x x) (+ -1/6 (* x (* x 1/120))))>
#<alt (+ -1/6 (* x (* x 1/120)))>
#<alt (* (* x (* x x)) (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040)))))))>
#<alt (* x (* x x))>
#<alt (+ -1/6 (* 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 1/120))>
#<alt (* x 1/120)>
#<alt (* x (* x -1/5040))>
#<alt (* x (* x (+ 1/120 (* x (* x -1/5040)))))>
#<alt (* x (+ 1/120 (* x (* x -1/5040))))>

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 -1/6>
#<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 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/6 (pow x 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 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt -1/6>
#<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 (* -1/6 (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 -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 (* 1/362880 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 (* 1/120 (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 (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* -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 (* 1/120 x)>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x 1/120)
1.0ms	x	@	inf	(* x (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))))
1.0ms	x	@	-inf	(* x (* -1/6 (* x x)))
0.0ms	x	@	0	(* x (* -1/6 (* x x)))
0.0ms	x	@	inf	(* (* x (* x x)) (+ -1/6 (* x (* x (+ 1/120 (* x (* x -1/5040)))))))

rewrite316.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
2646×	`/-lowering-/.f32`
2646×	`/-lowering-/.f64`
2570×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	191
1	198	166
2	1669	166
0	8157	166

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 528

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.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 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.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 x x)))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.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)))))))))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.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 x x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.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)))))))))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x (.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 x x)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.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)))))))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.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 x x)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (.f64 x x)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (.f64 x x))) (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))) x)
(+.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x #s(literal 1/120 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (-.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))))))
(fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x #s(literal -1/5040 binary64)) (.f64 x x) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) x (*.f64 x #s(literal 1/120 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (*.f64 x x)) x))) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (-.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x))) x) (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x))) x)) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (*.f64 x #s(literal 1/120 binary64))))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 binary64)))) x)

simplify227.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3980×	`+-lowering-+.f64`
3980×	`+-lowering-+.f32`
3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
1506×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2033
1	327	1788
2	991	1772
3	3337	1772
0	8478	1772

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 (* (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 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 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 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
-1/6
(- (* 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)))))
(* -1/6 (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)
-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)))))
(* 1/362880 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))
(* 1/120 (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))
(* 1/120 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)
(* -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))
(* 1/120 x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 3))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 3))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 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 (.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 #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 1/120 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 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 1/120 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 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 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))))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 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 (.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 1/120 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 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 1/120 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 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 (.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 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 1/120 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
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 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 x (.f64 x #s(literal -1/5040 binary64))))))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(+.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 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))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 6 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 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))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 6 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 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 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) (- (* 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) (- (* 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)))))
(* 1/120 (pow x 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
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(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1/5040 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/5040 binary64))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))

eval102.0ms (1.2%)

Compiler: Compiled 28405 to 2267 computations (92% saved)

prune110.0ms (1.3%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	894	15	909
Fresh	0	6	6
Picked	3	2	5
Done	0	1	1
Total	897	24	921

Accuracy

100.0%

Counts

921 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(fma.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 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	26.1%	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	5.2%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x (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 x x))))
	98.8%	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
	70.4%	(-.f64 (.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)
▶	70.1%	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
✓	71.2%	(-.f64 (sin.f64 x) x)
	68.9%	(-.f64 x x)
▶	99.2%	(.f64 (.f64 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)))))))) x)
	98.8%	(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
▶	99.3%	(.f64 (.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 x (*.f64 x #s(literal 1/362880 binary64))))))))))
	98.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
	98.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	98.8%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))
▶	98.8%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
	99.3%	(.f64 x (+.f64 (.f64 (.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 x x)) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
	99.3%	(.f64 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 x (.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x)))
	45.5%	(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	98.1%	(.f64 x (.f64 (*.f64 x #s(literal -1/6 binary64)) x))
	99.3%	(.f64 x (.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (.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))))))))))))
	48.3%	(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))))
✓	98.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
▶	6.3%	(neg.f64 x)

Compiler

Compiled 911 to 533 computations (41.5% saved)

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
✓	cost-diff	128	(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(+.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))))))
✓	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 #s(literal -1/5040 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 #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(.f64 (.f64 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)))))))) x)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓	cost-diff	256	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
✓	cost-diff	-64	(neg.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 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 (.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))))))))))

Rules

2580×	`+-lowering-+.f64`
2580×	`+-lowering-+.f32`
2214×	`fma-lowering-fma.f32`
2214×	`fma-lowering-fma.f64`
1932×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	363
1	151	303
2	505	302
3	1651	295
4	4157	295
5	7104	295
0	8363	295

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 1/362880)))))))))
(* x (* x x))
x
(* x 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)))))))
(+ 1/120 (* 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
(neg x)
x
(- (* x (+ 1 (* -1/6 (* x x)))) x)
(* x (+ 1 (* -1/6 (* x x))))
x
(+ 1 (* -1/6 (* x x)))
1
(* -1/6 (* x x))
-1/6
(* x x)
(* (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040))))))) x)
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040)))))))
x
(* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040))))))
(+ -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))
(* x -1/5040)
-1/5040
(* x (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))))
x
(/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))))
(* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x))
(+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
-1/216
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(* x (* x x))
(* x x)
(* (* x (* x x)) 1/1728000)
1/1728000
(+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))
1/36
(* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))
(* x (* x 1/120))
(* x 1/120)
1/120
(- (* x (* x 1/120)) -1/6)
-1/6

Outputs
(* (* x (* x x)) (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))
(.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) (+.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/362880 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 (* x (* x 1/362880))))))))
(+.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)))))))
-1/6
#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 (.f64 x 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 (.f64 x 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 (.f64 x 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)
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(- (* x (+ 1 (* -1/6 (* x x)))) x)
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (* x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
x
(+ 1 (* -1/6 (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* -1/6 (* x x))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* x x)
(*.f64 x x)
(* (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040))))))) x)
(.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))))))
(* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040)))))))
(.f64 x (.f64 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)))))))
x
(* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040))))))
(.f64 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))))))
(+ -1/6 (* (* 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 (.f64 x 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 (.f64 x x) #s(literal -1/5040 binary64))))
(* x x)
(*.f64 x x)
(+ 1/120 (* x (* x -1/5040)))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* x (* x -1/5040))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* x -1/5040)
(*.f64 x #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
(* x (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/216 binary64) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))
x
(/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/216 binary64) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))
(* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal -1/216 binary64) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
(+.f64 #s(literal -1/216 binary64) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
-1/216
#s(literal -1/216 binary64)
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (* x (* x x)) 1/1728000)
(.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
1/1728000
#s(literal 1/1728000 binary64)
(+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))
(* x (* x 1/120))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(- (* x (* x 1/120)) -1/6)
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
-1/6
#s(literal -1/6 binary64)

localize440.0ms (5.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (.f64 x x))
✓	accuracy	99.5%	(/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/5040 binary64)))
✓	accuracy	99.8%	(.f64 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))))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
✓	accuracy	99.4%	(.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)))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	71.2%	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/362880 binary64)))
✓	accuracy	99.7%	(.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	99.3%	(*.f64 x #s(literal 1/362880 binary64))

Results

347.0ms	247×	1	valid
6.0ms	9×	0	valid

Compiler

Compiled 445 to 45 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 76.0ms (41% of total)

...c/correct-round.rkt:119:19: 49.0ms (26.4% of total)

backward-pass: 31.0ms (16.7% of total)

ival-add: 18.0ms (9.7% of total)

ival-sub: 5.0ms (2.7% of total)

ival-div: 4.0ms (2.2% of total)

const: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

series20.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (* (* x (* x x)) (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))>
#<alt (neg x)>
#<alt (- (* x (+ 1 (* -1/6 (* x x)))) x)>
#<alt (* x (+ 1 (* -1/6 (* x x))))>
#<alt (+ 1 (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<alt (* (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040))))))) x)>
#<alt (* x (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040)))))))>
#<alt (* x (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040))))))>
#<alt (+ -1/6 (* (* x x) (+ 1/120 (* x (* x -1/5040)))))>
#<alt (* x (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))))>
#<alt (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))))>
#<alt (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))>
#<alt (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))>
#<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 (+ -1/5040 (* x (* x 1/362880)))))>
#<alt (* (* x x) (+ 1/120 (* x (* x -1/5040))))>
#<alt (* x (* x -1/5040))>
#<alt (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x))>
#<alt (* x (* x 1/120))>

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 (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 (* (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 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 x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<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 (* -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 (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 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<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 (* -1/6 (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 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/720 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2)))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<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 (* -1/5040 (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 (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 (* -1/5040 (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 (* -1/216 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))>
#<alt (* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))>
#<alt (* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))>
#<alt (* 1/1728000 (pow x 8))>
#<alt (* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* 1/1728000 (pow x 8))>
#<alt (* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<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))>

Calls

75 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(- (* x (+ 1 (* -1/6 (* x x)))) x)
1.0ms	x	@	inf	(* x (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))))
1.0ms	x	@	-inf	(- (* x (+ 1 (* -1/6 (* x x)))) x)
1.0ms	x	@	0	(* x (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))))
1.0ms	x	@	inf	(* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x))

rewrite345.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3380×	`fma-lowering-fma.f32`
3380×	`fma-lowering-fma.f64`
3080×	`-lowering-.f32`
3080×	`-lowering-.f64`
1794×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	267
1	278	222
2	2479	221
0	8633	221

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 577

Calls

Call 1

Inputs
(* (* x (* x x)) (+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))))
(* x (* x x))
(* x x)
(+ -1/6 (* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880))))))))
(neg x)
(- (* x (+ 1 (* -1/6 (* x x)))) x)
(* x (+ 1 (* -1/6 (* x x))))
(+ 1 (* -1/6 (* x x)))
(* -1/6 (* x x))
(* (* x (* x (+ -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 (/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))))
(/ (* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x)) (+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))))
(+ 1/36 (* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6)))
(* (* x (* x 1/120)) (- (* x (* x 1/120)) -1/6))
(* x 1/362880)
(* (* x x) (+ 1/120 (* x (* x (+ -1/5040 (* x (* x 1/362880)))))))
(* x (* x 1/362880))
(* x (* x (+ -1/5040 (* x (* x 1/362880)))))
(* (* x x) (+ 1/120 (* x (* x -1/5040))))
(* x (* x -1/5040))
(* (+ -1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) (* x x))
(* x (* x 1/120))

Outputs
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))
(fma.f64 x (.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 (.f64 x x) #s(literal 1/362880 binary64))))))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (.f64 (.f64 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))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) (.f64 (+.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))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 x x) (.f64 x (.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 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (.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 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))
(fma.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.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)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 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 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.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 x)) x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.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)))))) x) (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.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 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x (.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 x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (.f64 (.f64 (.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 (+.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 (.f64 x x) (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (-.f64 (.f64 (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/216 binary64) (.f64 (.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 (+.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 (.f64 x x) (.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 #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 (.f64 x 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 (.f64 x x) #s(literal 1/362880 binary64)))))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 (+.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 (.f64 x x) (.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 #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 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.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 (+.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 (.f64 x x) (.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))) (+.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 (.f64 x 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 (.f64 x x) #s(literal 1/362880 binary64)))))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (+.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 (.f64 x x) (.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))) (-.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 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (.f64 (.f64 (.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 (+.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 (.f64 x x) (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (-.f64 (.f64 (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (+.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 (.f64 x x) (.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/216 binary64) (.f64 (.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 (+.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 (.f64 x x) (.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)))))))))))) (neg.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 (.f64 x 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 (.f64 x x) #s(literal 1/362880 binary64)))))) #s(literal -1/6 binary64))))))
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(fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/5040 binary64))) x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))) (+.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal -1/5040 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))) (neg.f64 (+.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/5040 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal -1/5040 binary64)))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/5040 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64))))) x)
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/5040 binary64)) x)
(+.f64 (.f64 (.f64 x x) #s(literal -1/216 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))) (.f64 (.f64 x x) #s(literal -1/216 binary64)))
(+.f64 (.f64 #s(literal -1/216 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (.f64 x x)) (.f64 #s(literal -1/216 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (.f64 (*.f64 x x) #s(literal -1/216 binary64)))
(fma.f64 #s(literal -1/216 binary64) (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (.f64 x x) (.f64 #s(literal -1/216 binary64) (*.f64 x x)))
(/.f64 (.f64 (+.f64 #s(literal -1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x x)) (-.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))))) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (-.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x x))) (neg.f64 (-.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))))) (neg.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))))) (neg.f64 (-.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))))
(.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))) x)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/120 binary64)) x)

simplify247.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4562×	`-lowering-.f32`
4562×	`-lowering-.f64`
3460×	`+-lowering-+.f64`
3460×	`+-lowering-+.f32`
1476×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2428
1	397	2125
2	1147	2096
3	3769	2096
0	8175	2096

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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))))))
(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 (* (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 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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -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 (* -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 (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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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)))))
(* -1/6 (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 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/36
(+ 1/36 (* 1/720 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* 1/14400 (pow x 4))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))
(* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))
(* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))
(* 1/14400 (pow x 4))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* 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))
(* -1/5040 (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 (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))
(* -1/5040 (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))
(* -1/216 (pow x 2))
(* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))
(* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))
(* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))
(* 1/1728000 (pow x 8))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* 1/1728000 (pow x 8))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* 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))

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 x (.f64 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 (.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 (* (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 (.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 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 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(* 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 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/5040 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 x (.f64 x #s(literal 1/120 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)))))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(+.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 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))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 6 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 -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(* 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))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 6 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 -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x 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 x)
(-.f64 #s(literal 0 binary64) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.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 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 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))))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 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 x (.f64 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 (.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))
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(.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)))
(* 1/362880 (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 (.f64 x 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 (.f64 x x)) (.f64 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 (.f64 x x)) (.f64 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 (pow x 2))
(.f64 x (.f64 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 (.f64 x x) #s(literal -1/5040 binary64))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.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))))
(.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 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* -1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/216 (pow x 2))
(.f64 x (.f64 x #s(literal -1/216 binary64)))
(* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))
(.f64 (.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))
(.f64 (.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(* (pow x 2) (- (* 1/1728000 (pow x 6)) 1/216))
(.f64 (.f64 x x) (+.f64 #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(* 1/1728000 (pow x 8))
(*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/1728000 (pow x 8))
(*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (- 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))

eval121.0ms (1.5%)

Compiler: Compiled 36230 to 2669 computations (92.6% saved)

prune148.0ms (1.8%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1062	7	1069
Fresh	4	12	16
Picked	1	4	5
Done	0	3	3
Total	1067	26	1093

Accuracy

100.0%

Counts

1093 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(fma.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 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	26.1%	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	5.2%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x (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 x x))))
▶	98.8%	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
	70.4%	(-.f64 (.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)
✓	70.1%	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
✓	71.2%	(-.f64 (sin.f64 x) x)
▶	68.9%	(-.f64 x x)
▶	99.3%	(.f64 (.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)))))))) x)
	99.2%	(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x #s(literal -1/6 binary64)))) x)
✓	99.2%	(.f64 (.f64 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)))))))) x)
	98.8%	(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
✓	99.3%	(.f64 (.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 x (*.f64 x #s(literal 1/362880 binary64))))))))))
	98.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
	98.1%	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
	98.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	98.1%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (*.f64 x x)) #s(literal 1/36 binary64)))
	98.9%	(.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
▶	70.1%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
	99.3%	(.f64 x (+.f64 (.f64 (.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 x x)) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
	45.5%	(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	99.3%	(.f64 x (.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (.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))))))))))))
▶	48.3%	(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))))
✓	98.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	6.3%	(neg.f64 x)

Compiler

Compiled 886 to 518 computations (41.5% saved)

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
✓	cost-diff	512	(/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64)))
✓	cost-diff	768	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))
✓	cost-diff	768	(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 0 binary64)))))
✓	cost-diff	768	(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
✓	cost-diff	128	(-.f64 x x)
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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))))))))
✓	cost-diff	0	(.f64 (.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)))))))) x)

Rules

2530×	`-lowering-.f32`
2530×	`-lowering-.f64`
1702×	`fma-define`
1634×	`+-lowering-+.f64`
1634×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	266
1	133	228
2	466	208
3	1602	208
4	5412	208
0	8164	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* 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 x)
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)))))
(+ 1/120 (* (* 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)
1/362880
(- x x)
x
(* x (+ (+ 1 (* (* x x) -1/6)) -1))
x
(+ (+ 1 (* (* x x) -1/6)) -1)
(+ 1 (* (* x x) -1/6))
1
(* (* x x) -1/6)
(* x x)
-1/6
-1
(* x (* -1/6 (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0)))))
x
(* -1/6 (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0))))
-1/6
(/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0)))
1
(/ (* x x) (- (* (* x (* x x)) x) 0))
(* x x)
(- (* (* x (* x x)) x) 0)
(* (* x (* x x)) x)
(* x (* x x))
0
(/ (* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x)))) (- -1/6 (* x (* x 1/120))))
(* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x))))
(* x (* x x))
x
(* x x)
(- 1/36 (* 1/14400 (* (* x (* x x)) x)))
1/36
(* 1/14400 (* (* x (* x x)) x))
1/14400
(* (* x (* x x)) x)
(- -1/6 (* x (* x 1/120)))
-1/6
(* x (* x 1/120))
(* x 1/120)
1/120

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

localize569.0ms (6.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
✓	accuracy	99.8%	(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 0 binary64)))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))
✓	accuracy	40.9%	(/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	accuracy	51.7%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) #s(literal 1/362880 binary64))))
✓	accuracy	99.7%	(.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))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/362880 binary64))
✓	accuracy	99.7%	(.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))))))))

Results

480.0ms	249×	1	valid
4.0ms	7×	0	valid

Compiler

Compiled 362 to 39 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 80.0ms (43.8% of total)

...c/correct-round.rkt:119:19: 40.0ms (21.9% of total)

backward-pass: 25.0ms (13.7% of total)

ival-sub: 14.0ms (7.7% of total)

ival-add: 12.0ms (6.6% of total)

ival-div: 10.0ms (5.5% of total)

const: 1.0ms (0.5% of total)

series9.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* (* (* x x) (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* (* x x) 1/362880))))))) x)>
#<alt (* (* x x) (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* (* x x) 1/362880)))))))>
#<alt (* x x)>
#<alt (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* (* x x) 1/362880))))))>
#<alt (- x x)>
#<alt (* x (+ (+ 1 (* (* x x) -1/6)) -1))>
#<alt (+ (+ 1 (* (* x x) -1/6)) -1)>
#<alt (+ 1 (* (* x x) -1/6))>
#<alt (* (* x x) -1/6)>
#<alt (* x (* -1/6 (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0)))))>
#<alt (* -1/6 (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0))))>
#<alt (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0)))>
#<alt (/ (* x x) (- (* (* x (* x x)) x) 0))>
#<alt (/ (* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x)))) (- -1/6 (* x (* x 1/120))))>
#<alt (* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x))))>
#<alt (* x (* x x))>
#<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 (* x 1/120))>

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 (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 (* (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 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 (* -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>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<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 (* -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 (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 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<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 (* 1/36 (pow x 3))>
#<alt (* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))>
#<alt (* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))>
#<alt (* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))>
#<alt (* -1/14400 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))>
#<alt (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))>
#<alt (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))>
#<alt (* -1/14400 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/362880 (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 (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))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x)))) (- -1/6 (* x (* x 1/120))))
1.0ms	x	@	0	(/ (* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x)))) (- -1/6 (* x (* x 1/120))))
0.0ms	x	@	inf	(* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x))))
0.0ms	x	@	-inf	(* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x))))
0.0ms	x	@	0	(* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x))))

rewrite418.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2482×	`fma-lowering-fma.f32`
2482×	`fma-lowering-fma.f64`
2148×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	178
1	265	146
2	2377	134
0	8434	134

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 615

Calls

Call 1

Inputs
(* (* (* 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 x)
(+ -1/6 (* (* x x) (+ 1/120 (* (* x x) (+ -1/5040 (* (* x x) 1/362880))))))
(- x x)
(* x (+ (+ 1 (* (* x x) -1/6)) -1))
(+ (+ 1 (* (* x x) -1/6)) -1)
(+ 1 (* (* x x) -1/6))
(* (* x x) -1/6)
(* x (* -1/6 (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0)))))
(* -1/6 (/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0))))
(/ 1 (/ (* x x) (- (* (* x (* x x)) x) 0)))
(/ (* x x) (- (* (* x (* x x)) x) 0))
(/ (* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x)))) (- -1/6 (* x (* x 1/120))))
(* (* x (* x x)) (- 1/36 (* 1/14400 (* (* x (* x x)) x))))
(* x (* x x))
(* (* 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 (* x 1/120))

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

simplify233.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2998×	`-lowering-.f32`
2998×	`-lowering-.f64`
1686×	`fma-lowering-fma.f32`
1686×	`fma-lowering-fma.f64`
1626×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1616
1	265	1389
2	779	1383
3	2443	1383
4	6620	1383
0	8053	1383

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))))))
(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 (* (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))))))
0
0
0
0
0
0
0
0
0
0
0
0
(* -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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -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))
(* -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))
(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 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -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)))
(* 1/36 (pow x 3))
(* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))
(* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))
(* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))
(* -1/14400 (pow x 7))
(* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))
(* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))
(* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))
(* -1/14400 (pow x 7))
(* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/362880 (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 (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))

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 x (.f64 x (.f64 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 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))))))))
(* (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 (.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))))))))))
(* 1/362880 (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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) 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 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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) 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 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 #s(literal 1/120 binary64) (.f64 x x)))))
(* (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 (.f64 x 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 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) 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 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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) 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 8 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-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 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(+.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)))))))))
(* 1/362880 (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 (/.f64 #s(literal 1/120 binary64) 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))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/120 binary64) 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 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 (/.f64 #s(literal 1/120 binary64) 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))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/120 binary64) 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))))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -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
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 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))
(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 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x 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 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* 1/36 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/36 binary64))
(* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/14400 binary64)))))
(* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/14400 binary64)))))
(* (pow x 3) (+ 1/36 (* -1/14400 (pow x 4))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/14400 binary64)))))
(* -1/14400 (pow x 7))
(*.f64 #s(literal -1/14400 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1/14400 (pow x 7))
(*.f64 #s(literal -1/14400 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/362880 (pow x 2))
(.f64 x (.f64 x #s(literal 1/362880 binary64)))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x 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 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) 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 (/.f64 #s(literal 1/120 binary64) x) (.f64 x (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* 1/362880 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/362880 binary64)))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* 1/362880 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/362880 binary64)))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))

eval310.0ms (3.8%)

Compiler: Compiled 57409 to 6370 computations (88.9% saved)

prune236.0ms (2.9%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1832	7	1839
Fresh	3	11	14
Picked	4	1	5
Done	0	7	7
Total	1839	26	1865

Accuracy

100.0%

Counts

1865 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(fma.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 binary64) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	26.1%	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
	5.2%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x (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 x x))))
	98.8%	(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
	70.4%	(-.f64 (.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)
✓	70.1%	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
✓	71.2%	(-.f64 (sin.f64 x) x)
	49.5%	(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.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) (.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) #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)))))))))) x)
	99.3%	(.f64 (+.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))) x)
✓	99.3%	(.f64 (.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)))))))) x)
	99.2%	(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x #s(literal -1/6 binary64)))) x)
✓	99.2%	(.f64 (.f64 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)))))))) x)
	98.8%	(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
✓	99.3%	(.f64 (.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 x (*.f64 x #s(literal 1/362880 binary64))))))))))
	98.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
	98.1%	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
	98.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	98.1%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (*.f64 x x)) #s(literal 1/36 binary64)))
	98.1%	(.f64 x (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
	70.1%	(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	99.3%	(.f64 x (.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 x #s(literal 1/362880 binary64))))) (.f64 x (.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))))))))))))
	98.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	98.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	6.3%	(neg.f64 x)
	68.9%	#s(literal 0 binary64)

Compiler

Compiled 1298 to 465 computations (64.2% saved)

regimes47.0ms (0.6%)

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

Outputs

(*.f64 (*.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 x (*.f64 x #s(literal 1/362880 binary64))))))))))

Calls

2 calls:

32.0ms	(-.f64 (sin.f64 x) x)
12.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes10.0ms (0.1%)

Counts

29 → 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 (*.f64 x #s(literal -1/6 binary64)) x))
(.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
(.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 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(-.f64 (.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)
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 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 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)))))))) x)
(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x #s(literal -1/6 binary64)))) x)
(.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (*.f64 x x)) #s(literal 1/36 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 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 x (.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x)))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))

Outputs

(*.f64 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 x (*.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.3%)

Counts

27 → 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 (*.f64 x #s(literal -1/6 binary64)) x))
(.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
(.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 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(-.f64 (.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)
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 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 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)))))))) x)
(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x #s(literal -1/6 binary64)))) x)
(.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (*.f64 x x)) #s(literal 1/36 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))))))))))))

Outputs

(*.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))))))))))))

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

26 → 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 (*.f64 x #s(literal -1/6 binary64)) x))
(.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
(.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 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(-.f64 (.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)
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 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 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)))))))) x)
(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal -1/5040 binary64)))))) (.f64 x #s(literal -1/6 binary64)))) x)
(.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (*.f64 x x)) #s(literal 1/36 binary64)))

Outputs
(.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))))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

21 → 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 (*.f64 x #s(literal -1/6 binary64)) x))
(.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
(.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 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(-.f64 (.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)
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 0 binary64))))))

Outputs
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.3%)

Counts

16 → 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 (*.f64 x #s(literal -1/6 binary64)) x))
(.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
(.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 (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 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 (*.f64 x #s(literal -1/6 binary64)) x))
(.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -40.6b remaining (-203.7%)

Threshold costs -40.6b (-203.7%)

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:

2.0ms

Results

Accuracy	Segments	Branch
68.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary64`
22×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	137
1	77	137
2	88	137
3	99	137
4	105	137
5	108	137
6	109	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.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 x (*.f64 x #s(literal 1/362880 binary64))))))))))
(.f64 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 x (.f64 x #s(literal 1/362880 binary64))))))))) (*.f64 x x)))
(.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 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 x (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 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)) #s(literal -1/6 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
#s(literal 0 binary64)

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

soundness1.4s (17%)

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2998×	`-lowering-.f32`
2998×	`-lowering-.f64`
2996×	`-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	104	1616
1	265	1389
2	779	1383
3	2443	1383
4	6620	1383
0	8053	1383
0	34	191
1	198	166
2	1669	166
0	8157	166
0	38	178
1	265	146
2	2377	134
0	8434	134

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

Compiler

Compiled 288 to 138 computations (52.1% saved)

preprocess95.0ms (1.2%)

Remove: (negabs x)
Compiler: Compiled 498 to 228 computations (54.2% 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%)

sample1.4s (16.8%)

preprocess30.0ms (0.4%)

explain80.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize38.0ms (0.5%)

series1.0ms (0%)

rewrite283.0ms (3.4%)

simplify150.0ms (1.8%)

eval22.0ms (0.3%)

prune32.0ms (0.4%)

simplify188.0ms (2.3%)

localize199.0ms (2.4%)

series15.0ms (0.2%)

rewrite316.0ms (3.8%)

simplify227.0ms (2.7%)

eval102.0ms (1.2%)

prune110.0ms (1.3%)

simplify166.0ms (2%)

localize440.0ms (5.3%)

series20.0ms (0.2%)

rewrite345.0ms (4.2%)

simplify247.0ms (3%)

eval121.0ms (1.5%)

prune148.0ms (1.8%)

simplify166.0ms (2%)

localize569.0ms (6.9%)

series9.0ms (0.1%)

rewrite418.0ms (5.1%)

simplify233.0ms (2.8%)

eval310.0ms (3.8%)

prune236.0ms (2.9%)

regimes47.0ms (0.6%)

regimes10.0ms (0.1%)

regimes24.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes24.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify11.0ms (0.1%)

soundness1.4s (17%)

preprocess95.0ms (1.2%)

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