Metrics for ENA, Section 1.4, Exercise 4a

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

sample3.6s (34.8%)

Results

2.5s	5381×	2	valid
602.0ms	2772×	1	valid
8.0ms	103×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-sin: 1.7s (66.2% of total)

backward-pass: 225.0ms (8.5% of total)

ival-div: 196.0ms (7.4% of total)

ival-sub: 188.0ms (7.1% of total)

ival-tan: 161.0ms (6.1% of total)

ival-<=: 99.0ms (3.8% of total)

const: 12.0ms (0.5% of total)

ival-and: 11.0ms (0.4% of total)

Bogosity

preprocess96.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1088×	`sum4-define`
894×	`sum3-define`
752×	`fnmadd-define`
618×	`fma-define`
438×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	32	22
2	83	21
3	244	21
4	742	21
5	1550	21
6	2772	21
7	2810	21
8	3051	21
9	3067	21
10	3067	21
11	3069	21
0	5	7
1	10	7
2	17	7
3	30	7
4	58	7
5	108	7
6	210	7
7	394	7
8	814	7
9	1586	7
10	1967	7
11	2005	7
12	2374	7
13	2390	7
0	2390	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- x (sin x)) (tan x))

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

Call 2

Inputs
(/ (- x (sin x)) (tan x))
(/ (- (neg x) (sin (neg x))) (tan (neg x)))
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x))))

Outputs
(/ (- x (sin x)) (tan x))
(/ (- (neg x) (sin (neg x))) (tan (neg x)))
(/ (- x (sin x)) (tan x))
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x))))
(/ (- (sin x) x) (tan x))

Symmetry

(abs x)

explain288.0ms (2.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	0	-	0	-	`(-.f64 x (sin.f64 x))`
47	2	(5.782304520075166e-162)	7	(3.88982175138252e-106)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`(tan.f64 x)`

Results

228.0ms	352×	2	valid
32.0ms	152×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-sin: 119.0ms (74.9% of total)

backward-pass: 13.0ms (8.2% of total)

ival-div: 11.0ms (6.9% of total)

ival-sub: 9.0ms (5.7% of total)

ival-tan: 7.0ms (4.4% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(tan.f64 x)
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(-.f64 x (sin.f64 x))
✓	cost-diff	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Rules

438×	`fnmadd-define`
416×	`sum4-define`
416×	`sum5-define`
392×	`fmsub-define`
388×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	30	16
4	58	16
5	108	16
6	210	16
7	394	16
8	814	16
9	1586	16
10	1967	16
11	2005	16
12	2374	16
13	2390	16
0	2390	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- x (sin x)) (tan x))
(- x (sin x))
x
(sin x)
(tan x)

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

localize245.0ms (2.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	85.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	72.4%	(-.f64 x (sin.f64 x))

Results

221.0ms	176×	2	valid
13.0ms	76×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-sin: 89.0ms (81.1% of total)

backward-pass: 8.0ms (7.3% of total)

ival-div: 5.0ms (4.6% of total)

ival-sub: 4.0ms (3.6% of total)

ival-tan: 3.0ms (2.7% of total)

const: 0.0ms (0% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	-inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	0	(/ (- x (sin x)) (tan x))
0.0ms	x	@	-inf	(tan x)
0.0ms	x	@	inf	(tan x)

rewrite362.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3116×	`-lowering-.f32`
3116×	`-lowering-.f64`
2236×	`/-lowering-/.f32`
2236×	`/-lowering-/.f64`
1840×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	33	15
2	274	15
3	3332	15
0	8271	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 407

Calls

Call 1

Inputs
(/ (- x (sin x)) (tan x))
(- x (sin x))
(sin x)
(tan x)

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

simplify300.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
3202×	`+-lowering-+.f64`
3202×	`+-lowering-+.f32`
1432×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	401
1	317	344
2	977	332
3	3159	302
4	6705	296
0	8243	296

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/120 binary64))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 x (.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))))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.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 (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* 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 (*.f64 x 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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval49.0ms (0.5%)

Compiler: Compiled 10821 to 1059 computations (90.2% saved)

prune79.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	448	7	455
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	449	7	456

Accuracy

99.9%

Counts

456 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.4%	(/.f64 (.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)))))))) (tan.f64 x))
	85.1%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/120 binary64)))))) (tan.f64 x))
▶	84.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
▶	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
▶	99.5%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
▶	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
▶	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 234 to 144 computations (38.5% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
✓	cost-diff	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	cost-diff	(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))

Rules

2586×	`fma-define`
2152×	`fma-lowering-fma.f32`
2152×	`fma-lowering-fma.f64`
696×	`-lowering-.f32`
696×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	232
1	104	206
2	333	206
3	862	206
4	1917	206
5	2401	206
6	2566	206
7	2582	206
8	2582	206
9	3344	206
10	3344	206
0	3344	206

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
x
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
1/6
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
-23/360
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x x)
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* 1/6 (* x x))
1/6
(* x x)
x
(* (* x x) (+ 1/6 (* x (* x -23/360))))
(* x x)
x
(+ 1/6 (* x (* x -23/360)))
1/6
(* x (* x -23/360))
(* x -23/360)
-23/360
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(* x x)
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
1/6
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(/ (* 1/6 (* x (* x x))) (tan x))
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(tan x)

Outputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))
x
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(* x x)
(*.f64 x x)
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(* 1/6 (* x x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1/6 (* x (* x -23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* x (* x -23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x -23/360))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(/ (* 1/6 (* x (* x x))) (tan x))
(/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) (tan.f64 x))
(* 1/6 (* x (* x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(tan x)
(tan.f64 x)

localize172.0ms (1.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	85.5%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -11/15120 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
✓	accuracy	99.1%	(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
✓	accuracy	99.1%	(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))

Results

120.0ms

256×

valid

Compiler

Compiled 281 to 31 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 28.0ms (50% of total)

...c/correct-round.rkt:119:19: 15.0ms (26.8% of total)

ival-add: 7.0ms (12.5% of total)

ival-div: 3.0ms (5.4% of total)

ival-tan: 2.0ms (3.6% of total)

const: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* (* x x) (+ 1/6 (* x (* x -23/360))))>
#<alt (+ 1/6 (* x (* x -23/360)))>
#<alt (* x (* x -23/360))>
#<alt (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))>
#<alt (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (* x (* x (+ -23/360 (* (* x x) -11/15120))))>
#<alt (/ (* 1/6 (* x (* x x))) (tan x))>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* x -23/360)>
#<alt (* x (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* (* x x) -11/15120)>
#<alt (tan x)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin 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 (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 (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
1.0ms	x	@	inf	(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms	x	@	0	(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
1.0ms	x	@	-inf	(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms	x	@	inf	(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))

rewrite420.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4316×	`-lowering-.f32`
4316×	`-lowering-.f64`
3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
2292×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	172
1	189	151
2	1561	151
0	8581	151

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 436

Calls

Call 1

Inputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* 1/6 (* x x))
(* x x)
(* (* x x) (+ 1/6 (* x (* x -23/360))))
(+ 1/6 (* x (* x -23/360)))
(* x (* x -23/360))
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(/ (* 1/6 (* x (* x x))) (tan x))
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* x -23/360)
(* x (+ -23/360 (* (* x x) -11/15120)))
(* (* x x) -11/15120)
(tan x)

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) x))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) x))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) x))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) x))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) x))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal 1/6 binary64)))))
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(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (+.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(/.f64 (.f64 x (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) x) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) x) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (neg.f64 (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) x)) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) x)) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x #s(literal -23/360 binary64))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) x)
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(+.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x #s(literal -23/360 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(fma.f64 x #s(literal -23/360 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x #s(literal -23/360 binary64)))
(fma.f64 #s(literal -23/360 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -23/360 binary64)))
(fma.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -23/360 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) x (*.f64 x #s(literal -23/360 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -11/15120 binary64) (*.f64 x #s(literal -23/360 binary64)))
(fma.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x x) (*.f64 x #s(literal -23/360 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -12167/46656000 binary64) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 529/129600 binary64) (.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -23/360 binary64) (.f64 #s(literal 11/15120 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal -23/360 binary64) (.f64 #s(literal 11/15120 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -12167/46656000 binary64) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 529/129600 binary64) (.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -23/360 binary64) (.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal -23/360 binary64) (.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (*.f64 x #s(literal -23/360 binary64))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))) x)
(.f64 x (.f64 x #s(literal -11/15120 binary64)))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -11/15120 binary64)) x)
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

simplify259.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4580×	`-lowering-.f32`
4580×	`-lowering-.f64`
1390×	`fma-lowering-fma.f32`
1390×	`fma-lowering-fma.f64`
1220×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2026
1	468	1768
2	1585	1726
3	5326	1716
0	8243	1716

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin 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))
(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)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
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(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 3))
(.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 3))
(.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval109.0ms (1.1%)

Compiler: Compiled 23313 to 1887 computations (91.9% saved)

prune71.0ms (0.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	774	10	784
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	777	14	791

Accuracy

100.0%

Counts

791 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
▶	99.4%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
	85.4%	(/.f64 (.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)))))))) (tan.f64 x))
	84.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
	99.6%	(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	24.2%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
▶	99.5%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
	99.2%	(.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))))
✓	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
▶	98.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.6%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
▶	99.7%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))
✓	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
✓	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 682 to 326 computations (52.2% saved)

simplify220.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 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 -12167/46656000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	128	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))

Rules

3274×	`-lowering-.f32`
3274×	`-lowering-.f64`
2794×	`+-lowering-+.f64`
2794×	`+-lowering-+.f32`
1662×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	328
1	140	283
2	462	278
3	1329	275
4	2884	275
5	4919	275
0	8092	275

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6)))
x
(+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6))
(* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* x x)
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
-23/360
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* x 1/6)
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* (* x (+ 1/6 (* x (* x -23/360)))) x)
(* x (+ 1/6 (* x (* x -23/360))))
x
(+ 1/6 (* x (* x -23/360)))
1/6
(* x (* x -23/360))
(* x -23/360)
-23/360
(/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))
(* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x))
(- 1/36 (* 529/129600 (* (* x x) (* x x))))
1/36
(* 529/129600 (* (* x x) (* x x)))
529/129600
(* (* x x) (* x x))
(* x x)
x
(- 1/6 (* x (* x -23/360)))
1/6
(* x (* x -23/360))
(* x -23/360)
-23/360
(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
1/216
(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) -12167/46656000)
-12167/46656000
(+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))
1/36
(* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))
(* x (* x -23/360))
(* x -23/360)
-23/360
(- (* x (* x -23/360)) 1/6)
1/6

Outputs
(* x (+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6)))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))
x
(+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6))
(.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))
(* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x x)))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))
(* x x)
(*.f64 x x)
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
-143/604800
#s(literal -143/604800 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* x 1/6) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* (* x (+ 1/6 (* x (* x -23/360)))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* x (+ 1/6 (* x (* x -23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
x
(+ 1/6 (* x (* x -23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
1/6
#s(literal 1/6 binary64)
(* x (* x -23/360))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
(/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -529/129600 binary64)))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))))
(* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -529/129600 binary64)))))
(- 1/36 (* 529/129600 (* (* x x) (* x x))))
(+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -529/129600 binary64))))
1/36
#s(literal 1/36 binary64)
(* 529/129600 (* (* x x) (* x x)))
(.f64 x (.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x x))))
529/129600
#s(literal 529/129600 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(- 1/6 (* x (* x -23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))
1/6
#s(literal 1/6 binary64)
(* x (* x -23/360))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 #s(literal -12167/46656000 binary64) (.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 529/129600 binary64)) #s(literal 23/2160 binary64)))))
(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
(+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
(.f64 x (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* (* x (* x x)) -12167/46656000)
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
-12167/46656000
#s(literal -12167/46656000 binary64)
(+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64)))
(* x (* x -23/360))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* x (* x -23/360)) 1/6)
(+.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize285.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 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 -12167/46656000 binary64)))) (.f64 x x))
✓	accuracy	99.6%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	accuracy	99.7%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -143/604800 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Results

205.0ms

256×

valid

Compiler

Compiled 415 to 41 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 74.0ms (63.9% of total)

...c/correct-round.rkt:119:19: 27.0ms (23.3% of total)

ival-add: 7.0ms (6% of total)

ival-div: 4.0ms (3.5% of total)

ival-sub: 3.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* x (+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6)))>
#<alt (+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6))>
#<alt (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* (* x (+ 1/6 (* x (* x -23/360)))) x)>
#<alt (* x (+ 1/6 (* x (* x -23/360))))>
#<alt (+ 1/6 (* x (* x -23/360)))>
#<alt (* x (* x -23/360))>
#<alt (/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))>
#<alt (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x))>
#<alt (- 1/36 (* 529/129600 (* (* x x) (* x x))))>
#<alt (* 529/129600 (* (* x x) (* x x)))>
#<alt (/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))>
#<alt (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))>
#<alt (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))>
#<alt (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))>
#<alt (* (* x x) -143/604800)>
#<alt (* x -23/360)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* -529/129600 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* -529/129600 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt 1/36>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (* -529/129600 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* -529/129600 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 1/36>
#<alt (+ 1/36 (* 23/2160 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* 23/2160 (pow x 2))>
#<alt (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))>
#<alt (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))>
#<alt (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* 529/129600 (* (* x x) (* x x)))
1.0ms	x	@	inf	(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
1.0ms	x	@	0	(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
1.0ms	x	@	inf	(/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))
1.0ms	x	@	inf	(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))

rewrite605.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3320×	`fma-lowering-fma.f32`
3320×	`fma-lowering-fma.f64`
2644×	`-lowering-.f32`
2644×	`-lowering-.f64`
1956×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	190
1	257	162
2	2260	159
0	8395	159

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 730

Calls

Call 1

Inputs
(* x (+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6)))
(+ (* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x 1/6))
(* x (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x 1/6) x)
(* x 1/6)
(* (* x (+ 1/6 (* x (* x -23/360)))) x)
(* x (+ 1/6 (* x (* x -23/360))))
(+ 1/6 (* x (* x -23/360)))
(* x (* x -23/360))
(/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))
(* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x))
(- 1/36 (* 529/129600 (* (* x x) (* x x))))
(* 529/129600 (* (* x x) (* x x)))
(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))
(* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))
(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))
(* (* x x) -143/604800)
(* x -23/360)

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))))
(/.f64 (.f64 x (.f64 (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))) (.f64 x (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))) (.f64 x (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) x) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))))
(/.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))) (.f64 x (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))) x) (.f64 x (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) #s(literal -1/216 binary64)) (.f64 x (.f64 x #s(literal -23/360 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) (.f64 x (.f64 x #s(literal -23/360 binary64))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(.f64 x (.f64 (.f64 x #s(literal -23/360 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (+.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64)) (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64))) x)
(.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64)) x) (*.f64 x #s(literal -23/360 binary64)))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal -23/360 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 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 (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 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 (.f64 x x))) (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 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 (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) (.f64 x x) (.f64 #s(literal 1/216 binary64) (*.f64 x x)))
(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1801152661463/101559956668416000000000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal -12167/46656000 binary64)))) #s(literal -1/216 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 148035889/2176782336000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 12167/46656000 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1801152661463/101559956668416000000000 binary64))))) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal -12167/46656000 binary64)))) #s(literal -1/216 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 148035889/2176782336000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 12167/46656000 binary64))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1801152661463/101559956668416000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal -12167/46656000 binary64)))) #s(literal -1/216 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 148035889/2176782336000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))) (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 12167/46656000 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))) x)
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -143/604800 binary64)) x)
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)

simplify241.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3398×	`-lowering-.f32`
3398×	`-lowering-.f64`
2270×	`+-lowering-+.f64`
2270×	`+-lowering-+.f32`
1308×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	2004
1	375	1747
2	1109	1730
3	3201	1711
4	7705	1711
0	8140	1711

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))
(* -529/129600 (pow x 6))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* -529/129600 (pow x 6))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
1/36
(+ 1/36 (* -529/129600 (pow x 4)))
(+ 1/36 (* -529/129600 (pow x 4)))
(+ 1/36 (* -529/129600 (pow x 4)))
(* -529/129600 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* -529/129600 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 529/129600 (pow x 4))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x x)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
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(* -23/360 (pow x 2))
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(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64)))
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1/36
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(* 529/129600 (pow x 4))
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(* 529/129600 (pow x 4))
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(* 1/216 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/216 binary64))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
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(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
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(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
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(* -12167/46656000 (pow x 8))
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(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
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(* -12167/46656000 (pow x 8))
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(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
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(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
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(* -143/604800 (pow x 2))
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(* -143/604800 (pow x 2))
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(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))

eval132.0ms (1.3%)

Compiler: Compiled 38627 to 2149 computations (94.4% saved)

prune89.0ms (0.9%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1069	5	1074
Fresh	2	4	6
Picked	3	2	5
Done	0	3	3
Total	1074	14	1088

Accuracy

100.0%

Counts

1088 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) #s(literal 1/36 binary64))
▶	99.4%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
	85.4%	(/.f64 (.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)))))))) (tan.f64 x))
	99.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
▶	84.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
▶	99.6%	(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	99.4%	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))) (.f64 x (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
▶	24.2%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	99.5%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
✓	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
✓	98.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.6%	(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
✓	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
✓	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 464 to 276 computations (40.5% saved)

simplify160.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))) x)
✓	cost-diff	128	(.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
✓	cost-diff	128	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) #s(literal 1/36 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
✓	cost-diff	256	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	256	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))
✓	cost-diff	256	(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Rules

2908×	`-lowering-.f32`
2908×	`-lowering-.f64`
1702×	`sum3-define`
1444×	`+-lowering-+.f64`
1444×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	349
1	136	277
2	451	276
3	1101	271
4	2685	270
5	4301	270
6	7323	270
0	8095	270

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)) (* x (* x 1/6)))
(* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* x x)
x
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
-23/360
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* x (* x 1/6))
(* x 1/6)
1/6
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(* (+ -23/360 (/ 1/6 (* x x))) (* x (* x (* x x))))
(+ -23/360 (/ 1/6 (* x x)))
-23/360
(/ 1/6 (* x x))
1/6
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) 1/36)
(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
1/216
(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) -12167/46656000)
-12167/46656000
1/36
(/ (* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x)
(* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000)))))
x
(+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))
1/216
(* (* x (* x (* x x))) (* x (* x -12167/46656000)))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* x (* x -12167/46656000))
(* x -12167/46656000)
-12167/46656000
(+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))
1/36
(* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))
(* x (* x -23/360))
(* x -23/360)
-23/360
(- (* x (* x -23/360)) 1/6)
1/6

Outputs
(+ (* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)) (* x (* x 1/6)))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal 1/6 binary64)))
(* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 x (.f64 x (.f64 x x))))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
(* x x)
(*.f64 x x)
x
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(* x (* x 1/6))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (* 1/6 (* x (* x x))) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (* x x)))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* (+ -23/360 (/ 1/6 (* x x))) (* x (* x (* x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(+ -23/360 (/ 1/6 (* x x)))
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
-23/360
#s(literal -23/360 binary64)
(/ 1/6 (* x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) 1/36)
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) #s(literal 1/36 binary64))
(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
(+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 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)) -12167/46656000))
(.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* (* x (* x x)) -12167/46656000)
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
-12167/46656000
#s(literal -12167/46656000 binary64)
1/36
#s(literal 1/36 binary64)
(/ (* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 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 529/129600 binary64)) #s(literal 23/2160 binary64)))))
(* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x)
(.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000)))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
x
(+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))
(+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 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 -12167/46656000)))
(.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* x (* x -12167/46656000))
(.f64 (.f64 x x) #s(literal -12167/46656000 binary64))
(* x -12167/46656000)
(*.f64 x #s(literal -12167/46656000 binary64))
-12167/46656000
#s(literal -12167/46656000 binary64)
(+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64)))
(* x (* x -23/360))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* x (* x -23/360)) 1/6)
(+.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize216.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))))
✓	accuracy	99.3%	(*.f64 x #s(literal -12167/46656000 binary64))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 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 -12167/46656000 binary64)))) (.f64 x x))
✓	accuracy	99.6%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) #s(literal 1/36 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓	accuracy	25.3%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	85.5%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -143/604800 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Results

134.0ms

256×

valid

Compiler

Compiled 448 to 43 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 40.0ms (48.5% of total)

...c/correct-round.rkt:119:19: 25.0ms (30.3% of total)

ival-add: 9.0ms (10.9% of total)

ival-div: 7.0ms (8.5% of total)

ival-sub: 1.0ms (1.2% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (+ (* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)) (* x (* x 1/6)))>
#<alt (* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))>
#<alt (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* x x)>
#<alt (/ (* 1/6 (* x (* x x))) x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (+ -23/360 (/ 1/6 (* x x))) (* x (* x (* x x))))>
#<alt (+ -23/360 (/ 1/6 (* x x)))>
#<alt (/ 1/6 (* x x))>
#<alt (/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) 1/36)>
#<alt (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))>
#<alt (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))>
#<alt (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))>
#<alt (/ (* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))>
#<alt (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))>
#<alt (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))>
#<alt (* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x)>
#<alt (* x 1/6)>
#<alt (* x (* x 1/6))>
#<alt (* (* x x) -143/604800)>
#<alt (* x (* x (* x x)))>
#<alt (* (* x (* x x)) -12167/46656000)>
#<alt (* x -23/360)>
#<alt (* x -12167/46656000)>
#<alt (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000)))))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))>
#<alt -23/360>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt -23/360>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -12167/1296000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/6 (* -12167/1296000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/6 (* -12167/1296000 (pow x 6))))>
#<alt (* -12167/1296000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))>
#<alt (* -12167/1296000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt 1/216>
#<alt (+ 1/216 (* -12167/46656000 (pow x 6)))>
#<alt (+ 1/216 (* -12167/46656000 (pow x 6)))>
#<alt (+ 1/216 (* -12167/46656000 (pow x 6)))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 1/36>
#<alt (+ 1/36 (* 23/2160 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* 23/2160 (pow x 2))>
#<alt (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))>
#<alt (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))>
#<alt (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 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 (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* -12167/46656000 x)>
#<alt (* 1/216 x)>
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* -12167/46656000 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))>
#<alt (* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))>
#<alt (* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))>

Calls

78 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* (* x (* x x)) -12167/46656000)
0.0ms	x	@	inf	(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) 1/36)
0.0ms	x	@	inf	(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
0.0ms	x	@	0	(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) 1/36)
0.0ms	x	@	-inf	(* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000)))))

rewrite328.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3154×	`-lowering-.f32`
3154×	`-lowering-.f64`
3122×	`fma-lowering-fma.f32`
3122×	`fma-lowering-fma.f64`
1986×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	253
1	266	197
2	2324	190
0	8540	190

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 540

Calls

Call 1

Inputs
(+ (* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)) (* x (* x 1/6)))
(* (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* x x)
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* (+ -23/360 (/ 1/6 (* x x))) (* x (* x (* x x))))
(+ -23/360 (/ 1/6 (* x x)))
(/ 1/6 (* x x))
(/ (* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x)) 1/36)
(* (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (* x x))
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
(/ (* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))
(* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))
(* (* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000))))) x)
(* x 1/6)
(* x (* x 1/6))
(* (* x x) -143/604800)
(* x (* x (* x x)))
(* (* x (* x x)) -12167/46656000)
(* x -23/360)
(* x -12167/46656000)
(* x (+ 1/216 (* (* x (* x (* x x))) (* x (* x -12167/46656000)))))

Outputs
(+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
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simplify233.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3454×	`-lowering-.f32`
3454×	`-lowering-.f64`
1586×	`+-lowering-+.f64`
1586×	`+-lowering-+.f32`
1400×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	2159
1	318	1893
2	842	1877
3	2082	1875
4	4948	1853
0	8652	1853

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -12167/1296000 (pow x 6))))
(* (pow x 2) (+ 1/6 (* -12167/1296000 (pow x 6))))
(* (pow x 2) (+ 1/6 (* -12167/1296000 (pow x 6))))
(* -12167/1296000 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))
(* -12167/1296000 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) 12167/1296000))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
1/216
(+ 1/216 (* -12167/46656000 (pow x 6)))
(+ 1/216 (* -12167/46656000 (pow x 6)))
(+ 1/216 (* -12167/46656000 (pow x 6)))
(* -12167/46656000 (pow x 6))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 6))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* -12167/46656000 (pow x 6))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 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))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* -12167/46656000 x)
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -12167/46656000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 7))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))))
(* -143/604800 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)))))
(* -143/604800 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)))))
(* -23/360 (pow x 4))
(.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 x (.f64 x (.f64 x x))))
(* -143/604800 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* -143/604800 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))
(* -143/604800 (pow x 6))
(.f64 (.f64 x x) (.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* -143/604800 (pow x 6))
(.f64 (.f64 x x) (.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x 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)
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(* 23/2160 (pow x 2))
(.f64 (.f64 x x) #s(literal 23/2160 binary64))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* 529/129600 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* 529/129600 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 23/2160 binary64) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* 1/216 (pow x 2))
(.f64 x (.f64 x #s(literal 1/216 binary64)))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 8))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))))
(* -12167/46656000 (pow x 8))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -12167/46656000 binary64)) (.f64 #s(literal 1/216 binary64) (.f64 x (/.f64 x #s(literal 1 binary64)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 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))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(* -143/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -143/604800 binary64)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* -12167/46656000 x)
(*.f64 x #s(literal -12167/46656000 binary64))
(* 1/216 x)
(*.f64 x #s(literal 1/216 binary64))
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 7))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (*.f64 x #s(literal -12167/46656000 binary64)))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 7))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (*.f64 x #s(literal -12167/46656000 binary64)))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -12167/46656000 binary64))))

eval156.0ms (1.5%)

Compiler: Compiled 37314 to 2416 computations (93.5% saved)

prune107.0ms (1%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1232	7	1239
Fresh	0	4	4
Picked	2	3	5
Done	0	5	5
Total	1234	19	1253

Accuracy

100.0%

Counts

1253 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.4%	(/.f64 (.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)))))))) (tan.f64 x))
	99.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
	98.8%	(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
	84.5%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x)))))) x)
✓	84.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	85.3%	(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
✓	99.6%	(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	98.9%	(.f64 (/.f64 (.f64 x x) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))))
	99.4%	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))) (.f64 x (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
	24.1%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (.f64 x (.f64 x (.f64 x x))))
	22.9%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x (*.f64 x x))))
✓	24.2%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	99.5%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
✓	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
✓	98.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.6%	(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
✓	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
✓	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 967 to 355 computations (63.3% saved)

regimes18.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x)))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) #s(literal 1/36 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))) (.f64 x (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64)))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/120 binary64)))))) (tan.f64 x))
(/.f64 (.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)))))))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs

(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))

Calls

2 calls:

9.0ms	x
7.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x)))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) #s(literal 1/36 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))) (.f64 x (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))

Outputs

(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x)))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (.f64 x x)) #s(literal 1/36 binary64))

Outputs
(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x)))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))) (.f64 x (.f64 x (.f64 x x))))

Outputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x)))))) x)

Outputs
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))

Outputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
18×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	116
1	76	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(.f64 x (+.f64 (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) x)
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))

soundness1.1s (10.8%)

Rules

4316×	`-lowering-.f32`
4316×	`-lowering-.f64`
4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
3398×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	2004
1	375	1747
2	1109	1730
3	3201	1711
4	7705	1711
0	8140	1711
0	105	401
1	317	344
2	977	332
3	3159	302
4	6705	296
0	8243	296
0	30	172
1	189	151
2	1561	151
0	8581	151

Stop Event

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

Compiler

Compiled 214 to 106 computations (50.5% saved)

preprocess84.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 522 to 250 computations (52.1% saved)

analyze2.0ms (0%)

sample3.6s (34.8%)

preprocess96.0ms (0.9%)

explain288.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (0.4%)

localize245.0ms (2.4%)

series4.0ms (0%)

rewrite362.0ms (3.5%)

simplify300.0ms (2.9%)

eval49.0ms (0.5%)

prune79.0ms (0.8%)

simplify108.0ms (1.1%)

localize172.0ms (1.7%)

series29.0ms (0.3%)

rewrite420.0ms (4.1%)

simplify259.0ms (2.5%)

eval109.0ms (1.1%)

prune71.0ms (0.7%)

simplify220.0ms (2.1%)

localize285.0ms (2.8%)

series16.0ms (0.2%)

rewrite605.0ms (5.9%)

simplify241.0ms (2.3%)

eval132.0ms (1.3%)

prune89.0ms (0.9%)

simplify160.0ms (1.6%)

localize216.0ms (2.1%)

series9.0ms (0.1%)

rewrite328.0ms (3.2%)

simplify233.0ms (2.3%)

eval156.0ms (1.5%)

prune107.0ms (1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify12.0ms (0.1%)

soundness1.1s (10.8%)

preprocess84.0ms (0.8%)

end0.0ms (0%)

Profiling