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 (31.9%)

Results

2.7s	5329×	2	valid
574.0ms	2810×	1	valid
9.0ms	117×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-sin: 2.0s (70.6% of total)

backward-pass: 200.0ms (7.2% of total)

ival-div: 198.0ms (7.1% of total)

ival-sub: 158.0ms (5.7% of total)

ival-tan: 148.0ms (5.3% of total)

ival-<=: 92.0ms (3.3% of total)

const: 12.0ms (0.4% 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)

explain224.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
75	1	(3.2070874694606586e-108)	0	-	`(-.f64 x (sin.f64 x))`
47	0	-	6	(4.5079240312702064e-105)	`(/.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

166.0ms	366×	2	valid
25.0ms	142×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-sin: 94.0ms (62% of total)

ival-tan: 24.0ms (15.8% of total)

backward-pass: 14.0ms (9.2% of total)

ival-div: 10.0ms (6.6% of total)

ival-sub: 9.0ms (5.9% of total)

const: 1.0ms (0.7% 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
▶	58.8%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify44.0ms (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)

localize102.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	85.3%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	74.1%	(-.f64 x (sin.f64 x))

Results

78.0ms	183×	2	valid
12.0ms	71×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sin: 51.0ms (70.2% of total)

ival-div: 6.0ms (8.3% of total)

backward-pass: 6.0ms (8.3% of total)

ival-tan: 5.0ms (6.9% of total)

ival-sub: 4.0ms (5.5% 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))
0.0ms	x	@	0	(/ (- x (sin x)) (tan x))
0.0ms	x	@	-inf	(tan x)
0.0ms	x	@	inf	(tan x)

rewrite344.0ms (3%)

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))))

simplify287.0ms (2.5%)

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))

eval69.0ms (0.6%)

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

prune59.0ms (0.5%)

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
	85.2%	(/.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 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)))))))) (tan.f64 x))
▶	84.8%	(/.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))))))))))
▶	99.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 246 to 150 computations (39% saved)

simplify104.0ms (0.9%)

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)

localize177.0ms (1.6%)

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	99.9%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	85.3%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
✓	accuracy	99.8%	(.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 (.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

114.0ms

256×

valid

Compiler

Compiled 281 to 31 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 30.0ms (38.3% of total)

ival-add: 29.0ms (37% of total)

...c/correct-round.rkt:119:19: 15.0ms (19.1% of total)

ival-div: 2.0ms (2.6% of total)

ival-tan: 2.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Counts

21 → 252

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 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 (* -11/15120 (pow x 2))>
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* -143/604800 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -143/604800 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 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

63 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)))))))))

rewrite545.0ms (4.8%)

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	181
1	189	159
2	1561	159
0	8581	159

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 468

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 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)))
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(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)))

simplify272.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4682×	`-lowering-.f32`
4682×	`-lowering-.f64`
1546×	`fma-lowering-fma.f32`
1546×	`fma-lowering-fma.f64`
1382×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2143
1	482	1872
2	1647	1824
3	5401	1814
0	8285	1814

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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)))))))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 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))
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(* -11/15120 (pow x 4))
(.f64 x (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))))
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(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -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) (- (* -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) (- (* -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)))))
(* -11/15120 (pow x 4))
(.f64 x (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))))
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(* -11/15120 (pow x 4))
(.f64 x (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))))
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(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/18 binary64) (.f64 (.f64 x x) #s(literal -1/270 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/270 binary64) (.f64 (.f64 x x) #s(literal -1/2835 binary64))))))))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
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(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -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 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.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)))))))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.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)))))))
(* -143/604800 (pow x 5))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 5) (- (* -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))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (* -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))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -143/604800 (pow x 5))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.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 #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 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 #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)))))))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(* -143/604800 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -143/604800 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.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))))))
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(* -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 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 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))

eval168.0ms (1.5%)

Compiler: Compiled 24879 to 2156 computations (91.3% saved)

prune102.0ms (0.9%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	819	9	828
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	821	14	835

Accuracy

100.0%

Counts

835 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.1%	(/.f64 (+.f64 (.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 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 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 x (.f64 x (.f64 x #s(literal -23/360 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
▶	99.5%	(/.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)))))
	99.5%	(/.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)))))
	85.2%	(/.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))
	84.7%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
	99.7%	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
▶	21.2%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
▶	99.3%	(.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)))))))
✓	99.5%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
▶	99.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
▶	99.7%	(.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 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))))))))))
✓	99.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 782 to 336 computations (57% saved)

simplify286.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.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)))))
✓	cost-diff	256	(.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))
✓	cost-diff	384	(/.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))))))
✓	cost-diff	384	(.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)))))))
✓	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 x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 #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)))))))))
✓	cost-diff	0	(.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)
✓	cost-diff	0	(/.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))))))))
✓	cost-diff	0	(.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)))))))))

Rules

6972×	`-lowering-.f32`
6972×	`-lowering-.f64`
1298×	`associate-r`
1192×	`+-lowering-+.f64`
1192×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	605
1	197	457
2	815	426
3	4085	425
0	8164	425

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
x
(/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* (- 1/36 (* (* 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)
(- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
1/36
(* (* 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)))) (* (* x 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)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* (* 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 1/6) x)
(* x 1/6)
x
1/6
(* (* x (* x (* x x))) (+ -23/360 (/ 1/6 (* x x))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ -23/360 (/ 1/6 (* x x)))
-23/360
(/ 1/6 (* x x))
1/6
(/ (* (- 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
(* (* x x) (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))))
(* x x)
x
(/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))))
(* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1)
(- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))))
1/46656
(* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
(* x (* x x))
(* (* x (* x x)) -12167/46656000)
-12167/46656000
1
(* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
1/216
(+ 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 (/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #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 x (*.f64 x #s(literal -143/604800 binary64))))))))))
x
(/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #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 x (.f64 x #s(literal -143/604800 binary64))))))))))
(* (- 1/36 (* (* 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)
(.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))))
(- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))
1/36
#s(literal 1/36 binary64)
(* (* x x) (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(.f64 (.f64 x x) (.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 #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 (* (* 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 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 x (.f64 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 x (.f64 x #s(literal -143/604800 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 (* x (* x x))) (+ -23/360 (/ 1/6 (* x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ -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)
(/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))
(/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64)))))
(* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x))
(.f64 x (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.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 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64)))
1/36
#s(literal 1/36 binary64)
(* 529/129600 (* (* x x) (* x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64))
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 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)
(* (* x x) (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 148035889/2176782336000000 binary64)) x)))))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 12167/46656000 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 529/129600 binary64))) #s(literal 23/2160 binary64)))))
(* x x)
(*.f64 x x)
x
(/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 148035889/2176782336000000 binary64)) x))))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 12167/46656000 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 529/129600 binary64))) #s(literal 23/2160 binary64)))))
(* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1)
(-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 148035889/2176782336000000 binary64)) x)))))
(- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))))
(-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 148035889/2176782336000000 binary64)) x)))))
1/46656
#s(literal 1/46656 binary64)
(* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 148035889/2176782336000000 binary64)) x))))
(* (* x (* x x)) (* (* x (* x x)) -12167/46656000))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -12167/46656000 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
(* (* x (* x x)) -12167/46656000)
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
-12167/46656000
#s(literal -12167/46656000 binary64)
1
#s(literal 1 binary64)
(* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 12167/46656000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x #s(literal 529/129600 binary64))) #s(literal 23/2160 binary64)))))
(- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))
(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 12167/46656000 binary64)))))
1/216
#s(literal 1/216 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 x (.f64 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 x (.f64 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)

localize543.0ms (4.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	98.4%	(/.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))))))
✓	accuracy	98.4%	(.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)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))
✓	accuracy	99.7%	(/.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	99.9%	(.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	22.3%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	99.7%	(.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 (.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))))))))
✓	accuracy	99.4%	(.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)

Results

223.0ms

256×

valid

Compiler

Compiled 830 to 52 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 64.0ms (44.7% of total)

...c/correct-round.rkt:119:19: 56.0ms (39.1% of total)

ival-sub: 8.0ms (5.6% of total)

ival-add: 8.0ms (5.6% of total)

ival-div: 7.0ms (4.9% of total)

const: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* x (/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* (- 1/36 (* (* 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)>
#<alt (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* (* x (* x (* x x))) (+ -23/360 (/ 1/6 (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<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 (* (* x x) (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))))>
#<alt (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))))>
#<alt (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1)>
#<alt (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))))>
#<alt (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (/ 1/6 (* x x))>
#<alt (* x -23/360)>
#<alt (* x (* x -23/360))>
#<alt (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))>

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 (* 1/36 x)>
#<alt (* x (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))>
#<alt (* -20449/365783040000 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -20449/365783040000 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))>
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))>
#<alt (* -20449/365783040000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -20449/365783040000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (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 1/6>
#<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 1/46656>
#<alt 1/46656>
#<alt (+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))>
#<alt (+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt 1/46656>
#<alt 1/46656>
#<alt (+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))>
#<alt (+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* -148035889/2176782336000000 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<alt (* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))>
#<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 (* 529/129600 (pow x 2))>
#<alt (* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))>
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 10))>
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 10))>
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (* -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 (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 1/7776>
#<alt (+ 1/7776 (* 23/466560 (pow x 2)))>
#<alt (+ 1/7776 (* (pow x 2) (+ 23/466560 (* 529/27993600 (pow x 2)))))>
#<alt (+ 1/7776 (* (pow x 2) (+ 23/466560 (* (pow x 2) (+ 529/27993600 (* 12167/1679616000 (pow x 2)))))))>
#<alt (* 6436343/6046617600000 (pow x 10))>
#<alt (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (* 279841/100776960000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (+ (* 279841/100776960000 (/ 1 (pow x 2))) (* 529/27993600 (/ 1 (pow x 6)))))))>
#<alt (* 6436343/6046617600000 (pow x 10))>
#<alt (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (* 279841/100776960000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (+ (* 279841/100776960000 (/ 1 (pow x 2))) (* 529/27993600 (/ 1 (pow x 6)))))))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* x x) (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))))
3.0ms	x	@	-inf	(- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
2.0ms	x	@	inf	(* (* x x) (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))))
1.0ms	x	@	inf	(* x (/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
1.0ms	x	@	inf	(/ (* (- 1/36 (* 529/129600 (* (* x x) (* x x)))) (* x x)) (- 1/6 (* x (* x -23/360))))

rewrite399.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
3686×	`fma-lowering-fma.f32`
3686×	`fma-lowering-fma.f64`
2012×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	410
1	352	242
2	3271	221
0	8933	221

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 477

Calls

Call 1

Inputs
(* x (/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(/ (* (- 1/36 (* (* 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) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* (- 1/36 (* (* 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)
(- 1/36 (* (* 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 (* x (* x x))) (+ -23/360 (/ 1/6 (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(/ (* (- 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)))
(* (* x x) (/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))))
(/ (* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1) (* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6)))))
(* (- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)))) 1)
(- 1/46656 (* (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))))
(* (* x x) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (+ -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 -23/360)
(* x (* x -23/360))
(* (- 1/216 (* (* x (* x x)) (* (* x (* x x)) -12167/46656000))) (+ 1/36 (* (* x (* x -23/360)) (- (* x (* x -23/360)) 1/6))))

Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.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))))))))) (.f64 x (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #s(literal 1/6 binary64) (.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))))))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.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)))))))))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 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 x (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.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)))))))))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #s(literal 0 binary64) x)) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.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)))))))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.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))))))))) (.f64 x (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 binary64))
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simplify242.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3434×	`-lowering-.f32`
3434×	`-lowering-.f64`
2108×	`sum3-define`
1938×	`+-lowering-+.f64`
1938×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2351
1	661	2075
2	2071	2049
3	6184	2049
0	8175	2049

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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))))))
(* 1/36 x)
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))
(* -20449/365783040000 (pow x 13))
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -20449/365783040000 (pow x 13))
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))))
1/36
(+ 1/36 (* -529/129600 (pow x 4)))
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))
(* -20449/365783040000 (pow x 12))
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -20449/365783040000 (pow x 12))
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (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))
1/6
(+ 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))
1/46656
1/46656
(+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))
(+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))
(* -148035889/2176782336000000 (pow x 12))
(* -148035889/2176782336000000 (pow x 12))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* -148035889/2176782336000000 (pow x 12))
(* -148035889/2176782336000000 (pow x 12))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
1/46656
1/46656
(+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))
(+ 1/46656 (* -148035889/2176782336000000 (pow x 12)))
(* -148035889/2176782336000000 (pow x 12))
(* -148035889/2176782336000000 (pow x 12))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* -148035889/2176782336000000 (pow x 12))
(* -148035889/2176782336000000 (pow x 12))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* (pow x 12) (- (* 1/46656 (/ 1 (pow x 12))) 148035889/2176782336000000))
(* -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))
(* 529/129600 (pow x 2))
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(* 20449/365783040000 (pow x 10))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 10))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* -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 (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))
1/7776
(+ 1/7776 (* 23/466560 (pow x 2)))
(+ 1/7776 (* (pow x 2) (+ 23/466560 (* 529/27993600 (pow x 2)))))
(+ 1/7776 (* (pow x 2) (+ 23/466560 (* (pow x 2) (+ 529/27993600 (* 12167/1679616000 (pow x 2)))))))
(* 6436343/6046617600000 (pow x 10))
(* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (* 279841/100776960000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (+ (* 279841/100776960000 (/ 1 (pow x 2))) (* 529/27993600 (/ 1 (pow x 6)))))))
(* 6436343/6046617600000 (pow x 10))
(* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (* 279841/100776960000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (+ (* 279841/100776960000 (/ 1 (pow x 2))) (* 529/27993600 (/ 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 (.f64 x 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 (.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 x (.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 x (.f64 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.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 (*.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 x (*.f64 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.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 -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 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.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)))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -529/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
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(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 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)
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(* -23/360 x)
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(* -23/360 x)
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(* -23/360 x)
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(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 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))
(.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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1/7776
#s(literal 1/7776 binary64)
(+ 1/7776 (* 23/466560 (pow x 2)))
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(+ 1/7776 (* (pow x 2) (+ 23/466560 (* 529/27993600 (pow x 2)))))
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(* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))
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(* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (+ (* 279841/100776960000 (/ 1 (pow x 2))) (* 529/27993600 (/ 1 (pow x 6)))))))
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(* 6436343/6046617600000 (pow x 10))
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(* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))
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(* (pow x 10) (+ 6436343/6046617600000 (+ (/ 12167/1679616000 (pow x 4)) (+ (* 279841/100776960000 (/ 1 (pow x 2))) (* 529/27993600 (/ 1 (pow x 6)))))))
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eval200.0ms (1.8%)

Compiler: Compiled 73154 to 3050 computations (95.8% saved)

prune102.0ms (0.9%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1336	7	1343
Fresh	2	3	5
Picked	3	2	5
Done	0	4	4
Total	1341	16	1357

Accuracy

100.0%

Counts

1357 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(/.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))
▶	99.4%	(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
▶	84.7%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
	99.4%	(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
▶	99.7%	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	99.6%	(.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 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 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)))
	99.6%	(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))))
▶	99.5%	(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 23/360 binary64))))))
✓	21.2%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
▶	21.1%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #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)))))))
✓	99.5%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	99.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	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))))))))))
✓	99.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 500 to 309 computations (38.2% saved)

simplify199.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
✓	cost-diff	128	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 23/360 binary64)))))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 23/360 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))
✓	cost-diff	128	(+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
✓	cost-diff	384	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/36 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/36 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	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 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Rules

2974×	`-lowering-.f32`
2974×	`-lowering-.f64`
2266×	`/-lowering-/.f32`
2266×	`/-lowering-/.f64`
1800×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	248
1	126	213
2	378	211
3	1175	210
4	2491	210
5	4761	210
6	6460	210
0	8212	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120))))) (* x (* x 1/6)))
(* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(* x x)
x
(* 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
(* 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)
(/ (* x (* x 1/36)) (- 1/6 (* x (* x -23/360))))
(* x (* x 1/36))
x
(* x 1/36)
1/36
(- 1/6 (* x (* x -23/360)))
1/6
(* x (* x -23/360))
(* x -23/360)
-23/360
(* (* x (* x (* x x))) (+ -23/360 (* (/ 1 (* x x)) 1/6)))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ -23/360 (* (/ 1 (* x x)) 1/6))
-23/360
(* (/ 1 (* x x)) 1/6)
(/ 1 (* x x))
1
1/6
(* (* x (+ 1/36 (* (* x (* x (* x x))) -529/129600))) (* x (/ 1 (+ 1/6 (* (* x x) 23/360)))))
(* x (+ 1/36 (* (* x (* x (* x x))) -529/129600)))
x
(+ 1/36 (* (* x (* x (* x x))) -529/129600))
1/36
(* (* x (* x (* x x))) -529/129600)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-529/129600
(* x (/ 1 (+ 1/6 (* (* x x) 23/360))))
(/ 1 (+ 1/6 (* (* x x) 23/360)))
1
(+ 1/6 (* (* x x) 23/360))
1/6
(* (* x x) 23/360)
23/360

Outputs
(+ (* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120))))) (* x (* x 1/6)))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) #s(literal 1/6 binary64))))
(* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* x x)
(*.f64 x x)
x
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(.f64 (.f64 x 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)
(* x (* x 1/6))
(.f64 (.f64 x 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 (.f64 x 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)
(/ (* x (* x 1/36)) (- 1/6 (* x (* x -23/360))))
(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))))
(* x (* x 1/36))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
x
(* x 1/36)
(*.f64 x #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(- 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 (.f64 x 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 (* x x))) (+ -23/360 (* (/ 1 (* x x)) 1/6)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ -23/360 (* (/ 1 (* x x)) 1/6))
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
-23/360
#s(literal -23/360 binary64)
(* (/ 1 (* x x)) 1/6)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
1/6
#s(literal 1/6 binary64)
(* (* x (+ 1/36 (* (* x (* x (* x x))) -529/129600))) (* x (/ 1 (+ 1/6 (* (* x x) 23/360)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))))
(* x (+ 1/36 (* (* x (* x (* x x))) -529/129600)))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
x
(+ 1/36 (* (* x (* x (* x x))) -529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (* x x))) -529/129600)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-529/129600
#s(literal -529/129600 binary64)
(* x (/ 1 (+ 1/6 (* (* x x) 23/360))))
(/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))))
(/ 1 (+ 1/6 (* (* x x) 23/360)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))))
1
#s(literal 1 binary64)
(+ 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 (.f64 x x) #s(literal 23/360 binary64))
23/360
#s(literal 23/360 binary64)

localize339.0ms (3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 23/360 binary64))))))
✓	accuracy	99.7%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 23/360 binary64)))))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 23/360 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))
✓	accuracy	22.3%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -23/360 binary64)))
✓	accuracy	99.7%	(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/36 binary64))
✓	accuracy	99.1%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	85.3%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -11/15120 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.1%	(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))

Results

103.0ms	52×	3	valid
100.0ms	174×	0	valid
33.0ms	19×	2	valid
12.0ms	11×	1	valid

Compiler

Compiled 319 to 40 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 85.0ms (49.5% of total)

...c/correct-round.rkt:119:19: 35.0ms (20.4% of total)

ival-div: 20.0ms (11.7% of total)

backward-pass: 16.0ms (9.3% of total)

ival-add: 12.0ms (7% of total)

ival-sub: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

series9.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (+ (* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120))))) (* x (* x 1/6)))>
#<alt (* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (* x x)>
#<alt (* x (* x (+ -23/360 (* (* x x) -11/15120))))>
#<alt (/ (* 1/6 (* x (* x x))) x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ (* x (* x 1/36)) (- 1/6 (* x (* x -23/360))))>
#<alt (* x (* x 1/36))>
#<alt (* x 1/36)>
#<alt (- 1/6 (* x (* x -23/360)))>
#<alt (* (* x (* x (* x x))) (+ -23/360 (* (/ 1 (* x x)) 1/6)))>
#<alt (+ -23/360 (* (/ 1 (* x x)) 1/6))>
#<alt (* (/ 1 (* x x)) 1/6)>
#<alt (* x (* x (* x x)))>
#<alt (* (* x (+ 1/36 (* (* x (* x (* x x))) -529/129600))) (* x (/ 1 (+ 1/6 (* (* x x) 23/360)))))>
#<alt (* x (/ 1 (+ 1/6 (* (* x x) 23/360))))>
#<alt (* x (+ 1/36 (* (* x (* x (* x x))) -529/129600)))>
#<alt (+ 1/36 (* (* x (* x (* x x))) -529/129600))>
#<alt (* x (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* x 1/6)>
#<alt (* (* x x) -11/15120)>
#<alt (* x -23/360)>
#<alt (* x (* x -23/360))>
#<alt (/ 1 (* x x))>
#<alt (* (* x 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) (- (* -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 (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* -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 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 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 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -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 (* 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 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))>
#<alt 10/23>
#<alt (- 10/23 (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))>
#<alt 10/23>
#<alt (- 10/23 (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<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) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 23/360 (pow x 2))>
#<alt (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (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 (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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/6 (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 (* 6 x)>
#<alt (* x (+ 6 (* -23/10 (pow x 2))))>
#<alt (* x (+ 6 (* (pow x 2) (- (* 529/600 (pow x 2)) 23/10))))>
#<alt (* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 529/600 (* -12167/36000 (pow x 2)))) 23/10))))>
#<alt (/ 360/23 x)>
#<alt (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)>
#<alt (/ 360/23 x)>
#<alt (* -1 (/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x))>
#<alt (* -1 (/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* x (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* x (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* -529/129600 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))>
#<alt (* -529/129600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))>
#<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 (* -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 (* 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 (* -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 (* -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 (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 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* 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))>

Calls

78 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (* x (+ 1/36 (* (* x (* x (* x x))) -529/129600))) (* x (/ 1 (+ 1/6 (* (* x x) 23/360)))))
0.0ms	x	@	inf	(* x (* x 1/36))
0.0ms	x	@	-inf	(* x 1/36)
0.0ms	x	@	0	(* x (+ 1/36 (* (* x (* x (* x x))) -529/129600)))
0.0ms	x	@	inf	(* x (/ 1 (+ 1/6 (* (* x x) 23/360))))

rewrite367.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5318×	`-lowering-.f32`
5318×	`-lowering-.f64`
3950×	`/-lowering-/.f32`
3950×	`/-lowering-/.f64`
1684×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	182
1	228	156
2	1807	151
0	8864	151

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 794

Calls

Call 1

Inputs
(+ (* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120))))) (* x (* x 1/6)))
(* (* x x) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(* x x)
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(/ (* x (* x 1/36)) (- 1/6 (* x (* x -23/360))))
(* x (* x 1/36))
(* x 1/36)
(- 1/6 (* x (* x -23/360)))
(* (* x (* x (* x x))) (+ -23/360 (* (/ 1 (* x x)) 1/6)))
(+ -23/360 (* (/ 1 (* x x)) 1/6))
(* (/ 1 (* x x)) 1/6)
(* x (* x (* x x)))
(* (* x (+ 1/36 (* (* x (* x (* x x))) -529/129600))) (* x (/ 1 (+ 1/6 (* (* x x) 23/360)))))
(* x (/ 1 (+ 1/6 (* (* x x) 23/360))))
(* x (+ 1/36 (* (* x (* x (* x x))) -529/129600)))
(+ 1/36 (* (* x (* x (* x x))) -529/129600))
(* x (+ -23/360 (* (* x x) -11/15120)))
(* x 1/6)
(* (* x x) -11/15120)
(* x -23/360)
(* x (* x -23/360))
(/ 1 (* x x))
(* (* x x) 23/360)

Outputs
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.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) #s(literal -11/15120 binary64)))))))
(-.f64 (.f64 x (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (-.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (.f64 x #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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) #s(literal -11/15120 binary64)))))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 (.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) #s(literal -11/15120 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) #s(literal -11/15120 binary64)))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (*.f64 x 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) #s(literal -11/15120 binary64)))))))
(fma.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x x) (.f64 (*.f64 x 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) #s(literal -11/15120 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) #s(literal -11/15120 binary64)))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.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) #s(literal -11/15120 binary64))))))))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))))
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(/.f64 (.f64 x (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))))) (+.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 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64)))) (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)))) 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 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64))) x) (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))))) (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 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)))))) (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 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)))) 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 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64))) x)) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))) (.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 #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 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)
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -23/360 binary64)) x)
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal -23/360 binary64))))
(.f64 (.f64 x x) #s(literal 23/360 binary64))
(.f64 (.f64 x #s(literal -23/360 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 23/360 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -23/360 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -23/360 binary64))
(.f64 (.f64 x #s(literal 23/360 binary64)) x)
(.f64 (neg.f64 (.f64 x #s(literal -23/360 binary64))) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -23/360 binary64)) x)

simplify234.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2678×	`-lowering-.f32`
2678×	`-lowering-.f64`
1908×	`+-lowering-+.f64`
1908×	`+-lowering-+.f32`
1676×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1981
1	429	1682
2	1214	1666
3	3421	1666
4	7866	1666
0	8685	1666

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) (- (* -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))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 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))))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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))
(* 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 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
10/23
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
10/23
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
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) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* 23/360 (pow x 2))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (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 (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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/6 (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))
(* 6 x)
(* x (+ 6 (* -23/10 (pow x 2))))
(* x (+ 6 (* (pow x 2) (- (* 529/600 (pow x 2)) 23/10))))
(* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 529/600 (* -12167/36000 (pow x 2)))) 23/10))))
(/ 360/23 x)
(/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)
(/ 360/23 x)
(* -1 (/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x))
(* -1 (/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x))
(* -1 (/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x))
(* 1/36 x)
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(* -529/129600 (pow x 5))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(* -529/129600 (pow x 5))
(* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))
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))
(* -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))))))
(* 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)
(* -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))
(* -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 (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 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 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))

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 (.f64 x 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 (.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) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 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)))))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -23/360 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) (- (* -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) (- (* -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) (- (* -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))))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -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 (.f64 x x) #s(literal -11/15120 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) (- (* -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))))
(* -11/15120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 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 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/6 (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 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal 529/21600 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (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 (+.f64 #s(literal 529/21600 binary64) (.f64 (.f64 x x) #s(literal -12167/1296000 binary64)))))))))
10/23
#s(literal 10/23 binary64)
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal -600/529 binary64) (*.f64 x x)))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -600/529 binary64) (.f64 x x)))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -600/529 binary64) (.f64 x x)) (+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal -2160000/279841 binary64) (pow.f64 x #s(literal 6 binary64))))))
10/23
#s(literal 10/23 binary64)
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal -600/529 binary64) (*.f64 x x)))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -600/529 binary64) (.f64 x x)))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -600/529 binary64) (.f64 x x)) (+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal -2160000/279841 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 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 (* 23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(+ 1/6 (* 23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 23/360 binary64))))
(* 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 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(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)))
(* 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 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -23/10 (pow x 2))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -23/10 binary64))))
(* x (+ 6 (* (pow x 2) (- (* 529/600 (pow x 2)) 23/10))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/10 binary64) (.f64 x (*.f64 x #s(literal 529/600 binary64)))))))
(* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 529/600 (* -12167/36000 (pow x 2)))) 23/10))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/10 binary64) (.f64 x (.f64 x (+.f64 #s(literal 529/600 binary64) (.f64 (*.f64 x x) #s(literal -12167/36000 binary64)))))))))
(/ 360/23 x)
(/.f64 #s(literal 360/23 binary64) x)
(/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) x)
(/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (.f64 x x))) (/.f64 #s(literal 1296000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -21600/529 binary64) (.f64 x x)) (/.f64 #s(literal -77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 360/23 x)
(/.f64 #s(literal 360/23 binary64) x)
(* -1 (/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x))
(/.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (.f64 x x))) (/.f64 #s(literal 1296000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -21600/529 binary64) (.f64 x x)) (/.f64 #s(literal -77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
(* -529/129600 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64)))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -529/129600 binary64) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x))))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -529/129600 binary64) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x))))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -529/129600 binary64) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x))))
(* -529/129600 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64)))
(* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -529/129600 binary64) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x))))
(* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -529/129600 binary64) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x))))
(* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -529/129600 binary64) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x))))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -529/129600 (pow x 4)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(+ 1/36 (* -529/129600 (pow x 4)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(+ 1/36 (* -529/129600 (pow x 4)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(* -529/129600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(* -529/129600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 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 x (.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))))
(* -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 x (.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))))
(* -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))))
(* 1/6 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)
(* -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))
(* -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 (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))
(.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))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))
(* 23/360 (pow x 2))
(.f64 x (.f64 x #s(literal 23/360 binary64)))

eval167.0ms (1.5%)

Compiler: Compiled 40927 to 3527 computations (91.4% saved)

prune137.0ms (1.2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1442	9	1451
Fresh	4	1	5
Picked	4	1	5
Done	0	6	6
Total	1450	17	1467

Accuracy

100.0%

Counts

1467 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(/.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))
	99.4%	(/.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)))))
	99.2%	(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) #s(literal 1/6 binary64))
✓	84.7%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/36 binary64))))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	99.5%	(.f64 (/.f64 (.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))) x)
	84.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	21.2%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	84.8%	(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 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)))))))
✓	99.5%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
✓	99.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.7%	(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 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))))))))))
✓	99.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	4.0%	#s(literal 10/23 binary64)

Compiler

Compiled 912 to 307 computations (66.3% saved)

regimes17.0ms (0.2%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.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 1/36 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.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 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))) x)
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.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 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/36 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 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.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 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x 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 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 23/360 binary64))))))
(.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 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 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64))) #s(literal 1/216 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 (.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 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 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 x (.f64 x (.f64 x #s(literal -23/360 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (.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)))))))) (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 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

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)

regimes34.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.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 1/36 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.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 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))) x)
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.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 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/36 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 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))

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

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.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 1/36 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.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 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))) x)
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.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 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/36 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 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x #s(literal 1/6 binary64))))

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

18 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.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 1/36 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.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 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))) x)
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.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 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/36 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 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))

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)

regimes6.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.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 1/36 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.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 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64)))) x)
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(/.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 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/36 binary64))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.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 1/36 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.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:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	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
#s(literal 10/23 binary64)

Outputs
#s(literal 10/23 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
16×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	102
1	61	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (*.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 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))
#s(literal 10/23 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))))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 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 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))
#s(literal 10/23 binary64)

soundness1.6s (14.6%)

Rules

5318×	`-lowering-.f32`
5318×	`-lowering-.f64`
4316×	`-lowering-.f32`
4316×	`-lowering-.f64`
4046×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1981
1	429	1682
2	1214	1666
3	3421	1666
4	7866	1666
0	8685	1666
0	30	181
1	189	159
2	1561	159
0	8581	159
0	216	2351
1	661	2075
2	2071	2049
3	6184	2049
0	8175	2049
0	105	401
1	317	344
2	977	332
3	3159	302
4	6705	296
0	8243	296
0	39	182
1	228	156
2	1807	151
0	8864	151

Stop Event

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

Compiler

Compiled 281 to 147 computations (47.7% saved)

preprocess84.0ms (0.7%)

Remove: (abs x)
Compiler: Compiled 378 to 176 computations (53.4% saved)

analyze2.0ms (0%)

sample3.6s (31.9%)

preprocess96.0ms (0.9%)

explain224.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (0.4%)

localize102.0ms (0.9%)

series4.0ms (0%)

rewrite344.0ms (3%)

simplify287.0ms (2.5%)

eval69.0ms (0.6%)

prune59.0ms (0.5%)

simplify104.0ms (0.9%)

localize177.0ms (1.6%)

series19.0ms (0.2%)

rewrite545.0ms (4.8%)

simplify272.0ms (2.4%)

eval168.0ms (1.5%)

prune102.0ms (0.9%)

simplify286.0ms (2.5%)

localize543.0ms (4.8%)

series20.0ms (0.2%)

rewrite399.0ms (3.5%)

simplify242.0ms (2.1%)

eval200.0ms (1.8%)

prune102.0ms (0.9%)

simplify199.0ms (1.8%)

localize339.0ms (3%)

series9.0ms (0.1%)

rewrite367.0ms (3.2%)

simplify234.0ms (2.1%)

eval167.0ms (1.5%)

prune137.0ms (1.2%)

regimes17.0ms (0.2%)

regimes34.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify13.0ms (0.1%)

soundness1.6s (14.6%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling