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)

sample3.8s (27.8%)

Results

2.9s	5416×	2	valid
518.0ms	2749×	1	valid
7.0ms	91×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-sin: 2.1s (68.7% of total)

ival-div: 300.0ms (10% of total)

backward-pass: 241.0ms (8% of total)

ival-sub: 163.0ms (5.4% of total)

ival-tan: 131.0ms (4.4% of total)

ival-<=: 85.0ms (2.8% of total)

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

const: 11.0ms (0.4% of total)

Bogosity

preprocess85.0ms (0.6%)

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)

explain263.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
91	1	(3.0260991441174363e-108)	1	(0.3160804502120047)	`(-.f64 x (sin.f64 x))`
49	1	(8.728745516006744e-162)	7	(1.8350688428743208e-104)	`(/.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

176.0ms	338×	2	valid
30.0ms	160×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-sin: 96.0ms (57.2% of total)

ival-div: 44.0ms (26.2% of total)

backward-pass: 12.0ms (7.1% of total)

ival-sub: 8.0ms (4.8% of total)

ival-tan: 7.0ms (4.2% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify47.0ms (0.3%)

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)

localize132.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	84.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	70.9%	(-.f64 x (sin.f64 x))

Results

72.0ms	169×	2	valid
13.0ms	80×	1	valid
0.0ms	7×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-sin: 44.0ms (64.5% of total)

ival-sub: 8.0ms (11.7% of total)

ival-div: 7.0ms (10.3% of total)

backward-pass: 6.0ms (8.8% of total)

ival-tan: 3.0ms (4.4% 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)

rewrite314.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
2358×	`/-lowering-/.f32`
2358×	`/-lowering-/.f64`
1832×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	33	15
2	272	15
3	3315	15
0	8416	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 421

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 x (tan.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (+.f64 x (sin.f64 x)) (tan.f64 x))))) (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (+.f64 x (sin.f64 x)) (tan.f64 x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 x (sin.f64 x)) (tan.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (+.f64 x (sin.f64 x)) (tan.f64 x))))
(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))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
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(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(.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 (.f64 #s(literal -1 binary64) (.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) x) (sin.f64 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 x (.f64 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 x (.f64 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 (+.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)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.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) x) (sin.f64 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 x (.f64 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 x (.f64 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)))))))
(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))))

simplify425.0ms (3.1%)

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	366
2	976	354
3	3172	324
4	6720	318
0	8256	318

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

eval92.0ms (0.7%)

Compiler: Compiled 10930 to 1090 computations (90% saved)

prune64.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	453	16	469
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	453	17	470

Accuracy

99.9%

Counts

470 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
	6.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
	4.3%	(/.f64 (fma.f64 (/.f64 (.f64 x x) (+.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))) (neg.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))
	51.9%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x))) (tan.f64 x))
	4.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) #s(literal 2 binary64))) (tan.f64 x))
▶	54.3%	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))))
✓	54.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	6.0%	(/.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 (tan.f64 x) (+.f64 x (sin.f64 x))))
▶	82.9%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) (tan.f64 x))
	83.8%	(/.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) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))) (tan.f64 x))
	81.9%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
	54.4%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
▶	99.3%	(.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)))))))))
	98.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
	99.0%	(.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))))))))
▶	97.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 656 to 369 computations (43.8% saved)

simplify220.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	cost-diff	256	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	cost-diff	256	(-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x))
✓	cost-diff	13568	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (cos.f64 x))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	cost-diff	6528	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) (tan.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.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)))))))
✓	cost-diff	0	(+.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))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))))

Rules

3096×	`-lowering-.f32`
3096×	`-lowering-.f64`
2714×	`+-lowering-+.f64`
2714×	`+-lowering-+.f32`
1364×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	238
1	122	217
2	417	213
3	1312	213
4	4137	213
0	8039	213

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x x) (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* x 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))))))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
-23/360
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -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) (* x (+ 1/6 (* (* x x) -1/120)))) (tan x))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(* x x)
x
(* x (+ 1/6 (* (* x x) -1/120)))
(+ 1/6 (* (* x x) -1/120))
1/6
(* (* x x) -1/120)
-1/120
(tan x)
(+ (* (/ 1 (tan x)) x) (- 0 (cos x)))
(/ 1 (tan x))
1
(tan x)
x
(- 0 (cos x))
0
(cos x)
(/ (- (* x (/ 1 (* (cos x) 1))) (tan x)) (* (tan x) (/ 1 (* (cos x) 1))))
(- (* x (/ 1 (* (cos x) 1))) (tan x))
(* x (/ 1 (* (cos x) 1)))
x
(/ 1 (* (cos x) 1))
1
(* (cos x) 1)
(cos x)
(tan x)
(* (tan x) (/ 1 (* (cos x) 1)))

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 (.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)))))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(+.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))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(.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)))))))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
(+.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))))))
-23/360
#s(literal -23/360 binary64)
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (tan x))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) (tan.f64 x))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(* x x)
(*.f64 x x)
x
(* x (+ 1/6 (* (* x x) -1/120)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(+ 1/6 (* (* x x) -1/120))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/120)
(.f64 (.f64 x x) #s(literal -1/120 binary64))
-1/120
#s(literal -1/120 binary64)
(tan x)
(tan.f64 x)
(+ (* (/ 1 (tan x)) x) (- 0 (cos x)))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
1
#s(literal 1 binary64)
(tan x)
(tan.f64 x)
x
(- 0 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
0
#s(literal 0 binary64)
(cos x)
(cos.f64 x)
(/ (- (* x (/ 1 (* (cos x) 1))) (tan x)) (* (tan x) (/ 1 (* (cos x) 1))))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(- (* x (/ 1 (* (cos x) 1))) (tan x))
(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
(* x (/ 1 (* (cos x) 1)))
(/.f64 x (cos.f64 x))
x
(/ 1 (* (cos x) 1))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(* (cos x) 1)
(cos.f64 x)
(cos x)
(cos.f64 x)
(tan x)
(tan.f64 x)
(* (tan x) (/ 1 (* (cos x) 1)))
(/.f64 (tan.f64 x) (cos.f64 x))

localize1.2s (8.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	accuracy	99.6%	(-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x))
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) (tan.f64 x))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/120 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.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))))))
✓	accuracy	100.0%	(.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)))))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))

Results

969.0ms	249×	5	exit
3.0ms	7×	0	valid

Compiler

Compiled 272 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 767.0ms

ival-cos: 209.0ms (27.2% of total)

ival-tan: 180.0ms (23.5% of total)

backward-pass: 139.0ms (18.1% of total)

ival-mult: 96.0ms (12.5% of total)

ival-div: 50.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 38.0ms (5% of total)

compiled-spec: 30.0ms (3.9% of total)

ival-add: 14.0ms (1.8% of total)

ival-sub: 10.0ms (1.3% of total)

const: 1.0ms (0.1% of total)

series25.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (* x x)>
#<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) (* x (+ 1/6 (* (* x x) -1/120)))) (tan x))>
#<alt (* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))>
#<alt (* x (+ 1/6 (* (* x x) -1/120)))>
#<alt (+ (* (/ 1 (tan x)) x) (- 0 (cos x)))>
#<alt (/ 1 (tan x))>
#<alt (tan x)>
#<alt (- 0 (cos x))>
#<alt (/ (- (* x (/ 1 (* (cos x) 1))) (tan x)) (* (tan x) (/ 1 (* (cos x) 1))))>
#<alt (- (* x (/ 1 (* (cos x) 1))) (tan x))>
#<alt (* x (/ 1 (* (cos x) 1)))>
#<alt (* (tan x) (/ 1 (* (cos x) 1)))>
#<alt (* x (* x (+ -11/15120 (* (* x x) -143/604800))))>
#<alt (* x (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x x) -1/120)>
#<alt (cos x)>
#<alt (/ 1 (* (cos x) 1))>

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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* -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 (* 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) (- (* -1/1080 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))>
#<alt (* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 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 (* (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 (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (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))>
#<alt -1>
#<alt (- (* 1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<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 (* 3/40 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* 31/1008 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* (pow x 2) (+ 31/1008 (* 647/51840 (pow x 2))))))))>
#<alt (/ x (cos x))>
#<alt (* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))>
#<alt (* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))>
#<alt (* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))>
#<alt (/ x (cos x))>
#<alt (* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))>
#<alt (* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))>
#<alt (* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos x) 2))>
#<alt (/ (sin x) (pow (cos 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 (* -11/15120 x)>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* -143/604800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -143/604800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt -23/360>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)>
#<alt (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)>
#<alt (* -143/604800 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
2.0ms	x	@	-inf	(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (tan x))
1.0ms	x	@	inf	(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (tan x))
1.0ms	x	@	inf	(/ (- (* x (/ 1 (* (cos x) 1))) (tan x)) (* (tan x) (/ 1 (* (cos x) 1))))
1.0ms	x	@	-inf	(/ (- (* x (/ 1 (* (cos x) 1))) (tan x)) (* (tan x) (/ 1 (* (cos x) 1))))

rewrite435.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3288×	`-lowering-.f32`
3288×	`-lowering-.f64`
2448×	`/-lowering-/.f32`
2448×	`/-lowering-/.f64`
2040×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	189
1	247	168
2	2168	166
0	9655	166

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1066

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)))))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* 1/6 (* x x))
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (tan x))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(* x (+ 1/6 (* (* x x) -1/120)))
(+ (* (/ 1 (tan x)) x) (- 0 (cos x)))
(/ 1 (tan x))
(tan x)
(- 0 (cos x))
(/ (- (* x (/ 1 (* (cos x) 1))) (tan x)) (* (tan x) (/ 1 (* (cos x) 1))))
(- (* x (/ 1 (* (cos x) 1))) (tan x))
(* x (/ 1 (* (cos x) 1)))
(* (tan x) (/ 1 (* (cos x) 1)))
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) -1/120)
(cos x)
(/ 1 (* (cos x) 1))

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))))
(+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(fma.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 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) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) x) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
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(/.f64 (neg.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal 529/129600 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))) (.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64)))) (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.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 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64))))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(.f64 x (.f64 x #s(literal -1/120 binary64)))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(.f64 #s(literal -1/120 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/120 binary64)) x)
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 0 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal -1 binary64))))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (cos.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 0 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 0 binary64))
(neg.f64 (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (cos.f64 x) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (cos.f64 x))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(pow.f64 (cos.f64 x) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (pow.f64 (cos.f64 x) #s(literal -3 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))

simplify347.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5028×	`-lowering-.f32`
5028×	`-lowering-.f64`
2596×	`+-lowering-+.f64`
2596×	`+-lowering-+.f32`
1672×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	269	2383
1	815	2292
2	2649	2230
3	5320	2200
0	8205	2200

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(+ 1/6 (* -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))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 3))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 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 (* (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 (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) 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) (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))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* 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 (* 3/40 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* 31/1008 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* (pow x 2) (+ 31/1008 (* 647/51840 (pow x 2))))))))
(/ x (cos x))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(/ x (cos x))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos 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))))))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))
(/ 1 (cos x))
(/ 1 (cos x))
(/ 1 (cos x))
(/ 1 (cos x))
(/ 1 (cos x))
(/ 1 (cos x))
(/ 1 (cos x))
(/ 1 (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 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 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 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)))))))))
(* -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 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.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 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 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))))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.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 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 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)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.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)))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/1080 (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 -1/1080 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/113400 binary64))))))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(/.f64 (.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (cos.f64 x)) (sin.f64 x))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(/.f64 (.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (cos.f64 x)) (sin.f64 x))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/120 binary64) (/.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)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(* -1/120 (pow x 5))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1/120 (pow x 5))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* 1/6 x)
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(* (pow x 4) (- (* -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 x) (.f64 x x)))
(* (pow x 4) (- (* -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 x) (.f64 x x)))
(* -143/604800 (pow x 4))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* -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 x) (.f64 x x)))
(* (pow x 4) (- (* -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 x) (.f64 x x)))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal 61/720 binary64))))))))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))

eval235.0ms (1.7%)

Compiler: Compiled 40846 to 3399 computations (91.7% saved)

prune218.0ms (1.6%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1617	19	1636
Fresh	4	7	11
Picked	3	2	5
Done	0	1	1
Total	1624	29	1653

Accuracy

99.9%

Counts

1653 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
▶	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
▶	99.3%	(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
	51.9%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x))) (tan.f64 x))
	4.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) #s(literal 2 binary64))) (tan.f64 x))
	54.3%	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
✓	54.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 x) x) (cos.f64 x))) (.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64)))
	99.2%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #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 #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 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
▶	82.6%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
	81.7%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)
	83.8%	(/.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) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))) (tan.f64 x))
	81.9%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
	54.4%	(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 x (cos.f64 x))) (tan.f64 x))) (/.f64 (tan.f64 x) (cos.f64 x)))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
	82.9%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 x (*.f64 x x)))))
	54.4%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	99.3%	(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))))
	99.3%	(.f64 (.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)
▶	83.0%	(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x)))
	99.3%	(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 #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))))))))))))
	99.3%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
	98.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	99.3%	(.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)))))))))
	98.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
▶	97.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.0%	(.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))))))))
✓	97.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 1580 to 691 computations (56.3% saved)

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	cost-diff	6464	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	6528	(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))

Rules

2640×	`-lowering-.f32`
2640×	`-lowering-.f64`
1814×	`+-lowering-+.f64`
1814×	`+-lowering-+.f32`
1700×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	290
1	123	258
2	388	255
3	1213	253
4	2971	253
0	8213	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* x 1/6) x) (* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))))
(* x 1/6)
x
1/6
(* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x 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)))
(* x x)
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (* x (+ 1 (* x (* x 1/3)))))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(* x x)
x
(* x (+ 1/6 (* (* x x) -1/120)))
(+ 1/6 (* (* x x) -1/120))
1/6
(* (* x x) -1/120)
-1/120
(* x (+ 1 (* x (* x 1/3))))
(+ 1 (* x (* x 1/3)))
1
(* x (* x 1/3))
(* x 1/3)
1/3
(* (* x (* x x)) (/ (+ 1/6 (* (* x x) -1/120)) (tan x)))
(* x (* x x))
x
(* x x)
(/ (+ 1/6 (* (* x x) -1/120)) (tan x))
(+ 1/6 (* (* x x) -1/120))
1/6
(* (* x x) -1/120)
-1/120
(tan x)
(+ (* (/ 1 (tan x)) x) (neg (cos x)))
(/ 1 (tan x))
1
(tan x)
x
(neg (cos x))
(cos x)

Outputs
(+ (* (* x 1/6) x) (* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))))
(.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)))))))))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)))
(.f64 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 x (.f64 x x))))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* 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 x (*.f64 x x)))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(.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)))))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.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))))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(.f64 x (.f64 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)
(* (* x 1/6) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (* x (+ 1 (* x (* x 1/3)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* x x)
(*.f64 x x)
x
(* x (+ 1/6 (* (* x x) -1/120)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(+ 1/6 (* (* x x) -1/120))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/120)
(.f64 (.f64 x x) #s(literal -1/120 binary64))
-1/120
#s(literal -1/120 binary64)
(* x (+ 1 (* x (* x 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+ 1 (* x (* x 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (* x (* x x)) (/ (+ 1/6 (* (* x x) -1/120)) (tan x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))) (tan.f64 x))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(/ (+ 1/6 (* (* x x) -1/120)) (tan x))
(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x))
(+ 1/6 (* (* x x) -1/120))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/120)
(.f64 (.f64 x x) #s(literal -1/120 binary64))
-1/120
#s(literal -1/120 binary64)
(tan x)
(tan.f64 x)
(+ (* (/ 1 (tan x)) x) (neg (cos x)))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
1
#s(literal 1 binary64)
(tan x)
(tan.f64 x)
x
(neg (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

localize843.0ms (6.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
✓	accuracy	100.0%	(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/120 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/120 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
✓	accuracy	100.0%	(.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	100.0%	(.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x)))

Results

765.0ms	249×	5	exit
4.0ms	7×	0	valid

Compiler

Compiled 302 to 37 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

backward-pass: 91.0ms (36.5% of total)

ival-mult: 62.0ms (24.9% of total)

...c/correct-round.rkt:119:19: 42.0ms (16.9% of total)

compiled-spec: 19.0ms (7.6% of total)

ival-add: 15.0ms (6% of total)

ival-div: 12.0ms (4.8% of total)

ival-tan: 4.0ms (1.6% of total)

ival-cos: 2.0ms (0.8% of total)

const: 1.0ms (0.4% of total)

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

series12.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (+ (* (* x 1/6) x) (* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))))>
#<alt (* x 1/6)>
#<alt (* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)))>
#<alt (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))>
#<alt (* (* x 1/6) x)>
#<alt (/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (* x (+ 1 (* x (* x 1/3)))))>
#<alt (* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))>
#<alt (* x x)>
#<alt (* x (+ 1/6 (* (* x x) -1/120)))>
#<alt (* (* x (* x x)) (/ (+ 1/6 (* (* x x) -1/120)) (tan x)))>
#<alt (* x (* x x))>
#<alt (/ (+ 1/6 (* (* x x) -1/120)) (tan x))>
#<alt (+ (* (/ 1 (tan x)) x) (neg (cos x)))>
#<alt (/ 1 (tan x))>
#<alt (tan x)>
#<alt (cos x)>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* x (+ 1 (* x (* x 1/3))))>
#<alt (* (* x x) -1/120)>
#<alt (neg (cos 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 (* 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 (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 23/1080 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 23/1080 (* -23/3240 (pow x 2)))) 23/360))))>
#<alt (* -1/40 (pow x 2))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* -1/40 (pow x 2))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 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 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))>
#<alt (* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) x)>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))) x)>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))) x)>
#<alt (* -1/120 (/ (* (pow x 2) (cos x)) (sin x)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* -1/120 (/ (* (pow x 2) (cos x)) (sin x)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<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 (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (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))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<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 x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt -1>
#<alt (- (* 1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x 1/6)
0.0ms	x	@	inf	(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (* x (+ 1 (* x (* x 1/3)))))
0.0ms	x	@	inf	(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))
0.0ms	x	@	inf	(* x (+ 1 (* x (* x 1/3))))
0.0ms	x	@	-inf	(* x 1/6)

rewrite341.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4474×	`-lowering-.f32`
4474×	`-lowering-.f64`
2624×	`/-lowering-/.f32`
2624×	`/-lowering-/.f64`
2538×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	203
1	224	177
2	1918	174
0	8183	174

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 464

Calls

Call 1

Inputs
(+ (* (* x 1/6) x) (* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))))
(* x 1/6)
(* x (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x)))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x x))
(* (* x 1/6) x)
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (* x (+ 1 (* x (* x 1/3)))))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(* x x)
(* x (+ 1/6 (* (* x x) -1/120)))
(* (* x (* x x)) (/ (+ 1/6 (* (* x x) -1/120)) (tan x)))
(* x (* x x))
(/ (+ 1/6 (* (* x x) -1/120)) (tan x))
(+ (* (/ 1 (tan x)) x) (neg (cos x)))
(/ 1 (tan x))
(tan x)
(cos x)
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x (+ 1 (* x (* x 1/3))))
(* (* x x) -1/120)
(neg (cos 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 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(+.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))))
(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 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 x (.f64 x (.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)))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(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 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 x (.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))))))))))
(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 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 (.f64 x x) (.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))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.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 x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.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)))))))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.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))))))))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 (.f64 x (.f64 x (.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))))))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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)))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 (.f64 x (.f64 x (.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))))))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.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))))))))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 (.f64 x (.f64 x (.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))))))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x) (.f64 x (.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))))))))))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 (.f64 x (.f64 x (.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))))))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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)))))))))))) (neg.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.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))))))))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))))
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(.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)))))) x)
(+.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 x (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -143/604800 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x x) #s(literal -11/15120 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 #s(literal -11/15120 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(fma.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -143/604800 binary64)) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -143/604800 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 #s(literal -11/15120 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64))))) (+.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64)))) (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)))) (.f64 x x)) (+.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64))) (.f64 x x)) (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) x)
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (.f64 x #s(literal -1/120 binary64)))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(.f64 #s(literal -1/120 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/120 binary64)) x)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(neg.f64 (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 0 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 x))

simplify278.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2252×	`+-lowering-+.f64`
2252×	`+-lowering-+.f32`
1770×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	256	2272
1	737	2202
2	2285	2100
3	5458	2094
0	8199	2094

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)
(* 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)
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 23/1080 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 23/1080 (* -23/3240 (pow x 2)))) 23/360))))
(* -1/40 (pow x 2))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* -1/40 (pow x 2))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 3))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 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 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))) x)
(/ (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))) x)
(* -1/120 (/ (* (pow x 2) (cos x)) (sin x)))
(* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* -1/120 (/ (* (pow x 2) (cos x)) (sin x)))
(* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 2) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* 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 (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) 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) (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))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -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))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (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 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(* (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 x (.f64 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 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 (.f64 x 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 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 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))))
(* -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 (/ (+ 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))))
(* -23/360 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (.f64 x (*.f64 x x)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 23/1080 (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 23/1080 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 23/1080 (* -23/3240 (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 (+.f64 #s(literal 23/1080 binary64) (.f64 (.f64 x x) #s(literal -23/3240 binary64))))))))))
(* -1/40 (pow x 2))
(.f64 x (.f64 x #s(literal -1/40 binary64)))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))
(.f64 (.f64 x x) (+.f64 #s(literal -1/40 binary64) (/.f64 #s(literal 23/40 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/40 binary64) (/.f64 #s(literal 23/40 binary64) (.f64 x x))) (/.f64 #s(literal -69/40 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (+.f64 #s(literal -1/40 binary64) (/.f64 #s(literal 23/40 binary64) (.f64 x x))) (/.f64 #s(literal 207/40 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -69/40 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1/40 (pow x 2))
(.f64 x (.f64 x #s(literal -1/40 binary64)))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))
(.f64 (.f64 x x) (+.f64 #s(literal -1/40 binary64) (/.f64 #s(literal 23/40 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/40 binary64) (/.f64 #s(literal 23/40 binary64) (.f64 x x))) (/.f64 #s(literal -69/40 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (+.f64 #s(literal -1/40 binary64) (/.f64 #s(literal 23/40 binary64) (.f64 x x))) (/.f64 #s(literal 207/40 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -69/40 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* 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 (*.f64 x x) #s(literal -1/120 binary64)))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(* -1/120 (pow x 5))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1/120 (pow x 5))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* -1/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/120 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* -1/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/120 binary64))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))
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(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))

eval131.0ms (1%)

Compiler: Compiled 24158 to 2048 computations (91.5% saved)

prune97.0ms (0.7%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	878	14	892
Fresh	5	16	21
Picked	2	3	5
Done	0	3	3
Total	885	36	921

Accuracy

100.0%

Counts

921 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
✓	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
	51.9%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x))) (tan.f64 x))
	4.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) #s(literal 2 binary64))) (tan.f64 x))
	29.7%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
	54.3%	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
✓	54.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 x) x) (cos.f64 x))) (.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64)))
	99.2%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
	82.5%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
	82.5%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
	29.7%	(/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))
	98.3%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (/.f64 x (.f64 x x))))
	82.6%	(/.f64 (.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
▶	35.4%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
✓	82.6%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
	81.7%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)
	83.8%	(/.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) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))) (tan.f64 x))
▶	81.9%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
	54.4%	(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 x (cos.f64 x))) (tan.f64 x))) (/.f64 (tan.f64 x) (cos.f64 x)))
	82.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64)))) (.f64 x (.f64 x x)))))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
	29.7%	(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))))
▶	54.4%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	99.3%	(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))))
	98.6%	(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
▶	99.3%	(.f64 (.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)
	82.9%	(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
▶	81.8%	(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
	98.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	99.3%	(.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)))))))))
	98.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	97.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	98.3%	(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
	99.0%	(.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))))))))
✓	97.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 2032 to 923 computations (54.6% saved)

simplify219.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 x (tan.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	cost-diff	256	(-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	1280	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	1536	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 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))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1/6 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	256	(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
✓	cost-diff	0	(.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	0	(+.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	0	(.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	0	(.f64 (.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)

Rules

4166×	`-lowering-.f32`
4166×	`-lowering-.f64`
1760×	`+-lowering-+.f64`
1760×	`+-lowering-+.f32`
1482×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	372
1	145	326
2	546	300
3	2311	292
4	5941	292
0	8277	292

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* 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))))))))
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 (+ -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
(* (* x (* x x)) (/ 1/6 x))
(* x (* x x))
x
(* x x)
(/ 1/6 x)
1/6
(/ (* 1/6 (* x (* x x))) (* x (+ 1 (* x (* x 1/3)))))
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(* x (+ 1 (* x (* x 1/3))))
(+ 1 (* x (* x 1/3)))
1
(* x (* x 1/3))
(* x 1/3)
1/3
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3))))))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(* x x)
x
(* x (+ 1/6 (* (* x x) -1/120)))
(+ 1/6 (* (* x x) -1/120))
1/6
(* (* x x) -1/120)
-1/120
(/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3)))))
(- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3)))))
(* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))
(* x (* x (* x 1/3)))
(* x (* x 1/3))
(* x 1/3)
1/3
(- x (* x (* x (* x 1/3))))
(- (/ x (tan x)) (cos x))
(/ x (tan x))
x
(tan x)
(cos x)

Outputs
(* (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)
(.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)))))))))
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(+.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))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(.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)))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(.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)))))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.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))))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(.f64 x (.f64 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)
(* (* x (* x x)) (/ 1/6 x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
1/6
#s(literal 1/6 binary64)
(/ (* 1/6 (* x (* x x))) (* x (+ 1 (* x (* x 1/3)))))
(.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 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 (+ 1 (* x (* x 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+ 1 (* x (* x 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(* (* x x) (* x (+ 1/6 (* (* x x) -1/120))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))))
(* x x)
(*.f64 x x)
x
(* x (+ 1/6 (* (* x x) -1/120)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(+ 1/6 (* (* x x) -1/120))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/120)
(.f64 (.f64 x x) #s(literal -1/120 binary64))
-1/120
#s(literal -1/120 binary64)
(/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3)))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64)))))))
(* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
(* x (* x (* x 1/3)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(- x (* x (* x (* x 1/3))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(- (/ x (tan x)) (cos x))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/ x (tan x))
(/.f64 x (tan.f64 x))
x
(tan x)
(tan.f64 x)
(cos x)
(cos.f64 x)

localize845.0ms (6.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 x (tan.f64 x))
✓	accuracy	54.4%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
✓	accuracy	84.1%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
✓	accuracy	55.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	84.1%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/6 binary64) x)
✓	accuracy	84.1%	(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
✓	accuracy	99.8%	(.f64 (.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)
✓	accuracy	99.7%	(.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	99.2%	(.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

427.0ms	175×	2	valid
127.0ms	74×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 410 to 42 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-tan: 94.0ms (26.6% of total)

ival-add: 67.0ms (18.9% of total)

ival-mult: 67.0ms (18.9% of total)

...c/correct-round.rkt:119:19: 41.0ms (11.6% of total)

backward-pass: 35.0ms (9.9% of total)

ival-cos: 23.0ms (6.5% of total)

ival-div: 18.0ms (5.1% of total)

ival-sub: 8.0ms (2.3% of total)

const: 1.0ms (0.3% of total)

series31.0ms (0.2%)

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (* (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)>
#<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 (* (* x (* x x)) (/ 1/6 x))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ 1/6 x)>
#<alt (/ (* 1/6 (* x (* x x))) (* x (+ 1 (* x (* x 1/3)))))>
#<alt (* 1/6 (* x (* x x)))>
#<alt (/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3))))))>
#<alt (/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3)))))>
#<alt (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3)))))>
#<alt (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))>
#<alt (- (/ x (tan x)) (cos x))>
#<alt (/ x (tan x))>
#<alt (tan x)>
#<alt (cos x)>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* x 1/3)>
#<alt (* x (* x 1/3))>
#<alt (* x (+ 1/6 (* (* x x) -1/120)))>

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 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 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 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/54 (* -1/162 (pow x 2)))) 1/18))))>
#<alt 1/2>
#<alt (- 1/2 (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 23/1080 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 23/1080 (* -23/3240 (pow x 2)))) 23/360))))>
#<alt (* -1/40 (pow x 2))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* -1/40 (pow x 2))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* -1/9 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 4)) 1/9))>
#<alt (* (pow x 6) (- (/ 1 (pow x 4)) 1/9))>
#<alt (* (pow x 6) (- (/ 1 (pow x 4)) 1/9))>
#<alt (* -1/9 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 4)) 1/9))>
#<alt (* (pow x 6) (- (/ 1 (pow x 4)) 1/9))>
#<alt (* (pow x 6) (- (/ 1 (pow x 4)) 1/9))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/9 (pow x 6))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (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 (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (/ (* x (cos x)) (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))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>

Calls

69 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(* x (* x 1/3))
1.0ms	x	@	-inf	(/ x (tan x))
1.0ms	x	@	inf	(/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3)))))
0.0ms	x	@	-inf	(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3))))))
0.0ms	x	@	0	(/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3)))))

rewrite371.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3456×	`-lowering-.f32`
3456×	`-lowering-.f64`
2774×	`fma-lowering-fma.f32`
2774×	`fma-lowering-fma.f64`
1730×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	251
1	281	199
2	2596	190
0	8215	190

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 521

Calls

Call 1

Inputs
(* (* 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)))))))
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* (* x (* x x)) (/ 1/6 x))
(* x (* x x))
(* x x)
(/ 1/6 x)
(/ (* 1/6 (* x (* x x))) (* x (+ 1 (* x (* x 1/3)))))
(* 1/6 (* x (* x x)))
(/ (* (* x x) (* x (+ 1/6 (* (* x x) -1/120)))) (/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3))))))
(/ (- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))) (- x (* x (* x (* x 1/3)))))
(- (* x x) (* (* x (* x (* x 1/3))) (* x (* x (* x 1/3)))))
(* (* x (* x (* x 1/3))) (* x (* x (* x 1/3))))
(- (/ x (tan x)) (cos x))
(/ x (tan x))
(tan x)
(cos x)
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x 1/3)
(* x (* x 1/3))
(* x (+ 1/6 (* (* x x) -1/120)))

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 x (.f64 x #s(literal -143/604800 binary64))))))))))
(+.f64 (.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 x (.f64 x #s(literal -143/604800 binary64)))))))) x))
(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 x (*.f64 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 x (*.f64 x #s(literal -143/604800 binary64)))))))) x))
(.f64 x (.f64 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 x (.f64 x #s(literal -143/604800 binary64))))))))))
(.f64 (.f64 x 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 x (.f64 x #s(literal -143/604800 binary64)))))))))
(.f64 (+.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 x (.f64 x #s(literal -143/604800 binary64)))))))) (.f64 x x))
(.f64 (.f64 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 x (.f64 x #s(literal -143/604800 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 x (.f64 x #s(literal -143/604800 binary64)))))))) (.f64 x #s(literal 1/6 binary64)))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))
(fma.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))
(fma.f64 (.f64 x 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))))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.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))))))) (.f64 x 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 x (.f64 x #s(literal -143/604800 binary64))))))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.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 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal -143/604800 binary64))))))))))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.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 x (.f64 x #s(literal -143/604800 binary64)))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal -143/604800 binary64))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal -143/604800 binary64)))))))))) (-.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 x (.f64 x #s(literal -143/604800 binary64)))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal -143/604800 binary64)))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal -143/604800 binary64)))))))))
(.f64 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 x (*.f64 x #s(literal -143/604800 binary64)))))))))
(.f64 (+.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 x (*.f64 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 x (.f64 x #s(literal -143/604800 binary64))))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.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 x (.f64 x #s(literal -143/604800 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))) (-.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 x (*.f64 x #s(literal -143/604800 binary64))))))))))
(fma.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))))))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))) #s(literal 1/6 binary64))
(fma.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.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 #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 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 x (*.f64 x #s(literal -143/604800 binary64))))))))))))
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(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))))) (+.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (-.f64 (.f64 (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x x))))) (-.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))))) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) #s(literal -23/360 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 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 (.f64 (+.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))) x) (+.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) #s(literal -23/360 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))) 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)))))))
(.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)))))))
(.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)))))) x)
(+.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 x (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -143/604800 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x x) #s(literal -11/15120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -143/604800 binary64))) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 #s(literal -11/15120 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))
(fma.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -143/604800 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -143/604800 binary64)) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -143/604800 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(fma.f64 (.f64 #s(literal -11/15120 binary64) x) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal -143/604800 binary64))) x) x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)))) (+.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x (.f64 x #s(literal -143/604800 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -143/604800 binary64))) #s(literal -11/15120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 20449/365783040000 binary64)))) (-.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64))) (.f64 x x)) (+.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x (.f64 x #s(literal -143/604800 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -143/604800 binary64))) #s(literal -11/15120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 20449/365783040000 binary64))) (.f64 x x)) (-.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) x)
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/120 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/120 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal -1/120 binary64)) (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/1728000 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/1728000 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/1728000 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))) x)

simplify232.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3224×	`-lowering-.f32`
3224×	`-lowering-.f64`
1950×	`+-lowering-+.f64`
1950×	`+-lowering-+.f32`
1686×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	2260
1	713	2181
2	2188	2134
3	5694	2134
0	8150	2134

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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 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 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 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/54 (* -1/162 (pow x 2)))) 1/18))))
1/2
(- 1/2 (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))
1/2
(- 1/2 (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 23/1080 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 23/1080 (* -23/3240 (pow x 2)))) 23/360))))
(* -1/40 (pow x 2))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* -1/40 (pow x 2))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) 1/40))
(* (pow x 2) (- (* 23/40 (/ 1 (pow x 2))) (+ 1/40 (/ 69/40 (pow x 4)))))
(* (pow x 2) (- (+ (* 23/40 (/ 1 (pow x 2))) (* 207/40 (/ 1 (pow x 6)))) (+ 1/40 (/ 69/40 (pow x 4)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* -1/9 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 4)) 1/9))
(* (pow x 6) (- (/ 1 (pow x 4)) 1/9))
(* (pow x 6) (- (/ 1 (pow x 4)) 1/9))
(* -1/9 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 4)) 1/9))
(* (pow x 6) (- (/ 1 (pow x 4)) 1/9))
(* (pow x 6) (- (/ 1 (pow x 4)) 1/9))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 1/9 (pow x 6))
(* 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 (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos 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))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -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))))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 3))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (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 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 x (.f64 x #s(literal -11/15120 binary64)))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x 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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 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 (.f64 x 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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64))))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x #s(literal -143/604800 binary64)))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/6 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)
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(* -143/604800 (pow x 4))
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(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -143/604800 (pow x 4))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/120 binary64)))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/120 binary64)))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/120 binary64)))))
(* -1/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/120 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* -1/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/120 binary64))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))

eval127.0ms (0.9%)

Compiler: Compiled 37753 to 2520 computations (93.3% saved)

prune123.0ms (0.9%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1046	11	1057
Fresh	7	18	25
Picked	2	3	5
Done	1	5	6
Total	1056	37	1093

Accuracy

100.0%

Counts

1093 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
	51.9%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x))) (tan.f64 x))
	4.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) #s(literal 2 binary64))) (tan.f64 x))
	29.7%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
	54.3%	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
✓	54.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	99.2%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
	82.5%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
	29.7%	(/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))
	98.3%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (/.f64 x (.f64 x x))))
	82.6%	(/.f64 (.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
	35.5%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
✓	82.6%	(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
	81.7%	(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
	83.8%	(/.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) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))) (tan.f64 x))
	81.8%	(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
	54.4%	(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 x (cos.f64 x))) (tan.f64 x))) (/.f64 (tan.f64 x) (cos.f64 x)))
	96.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	81.6%	(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
	29.7%	(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))))
✓	54.4%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	54.3%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) x)) (cos.f64 x))
	99.3%	(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))))
	97.3%	(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
	98.6%	(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
✓	99.3%	(.f64 (.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)
	99.0%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))) x)
	82.9%	(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
✓	81.8%	(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
	98.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	99.3%	(.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)))))))))
	98.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	97.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	98.3%	(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
	81.8%	(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
✓	97.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	4.5%	#s(literal 1/2 binary64)

Compiler

Compiled 2582 to 735 computations (71.5% saved)

regimes38.0ms (0.3%)

Counts

61 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)
(.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))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(.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)))))))))
(.f64 (.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)
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (/.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #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 #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 x) (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x)))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) (tan.f64 x))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 #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 #s(literal 1 binary64) (/.f64 (tan.f64 x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(/.f64 (.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) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))) (tan.f64 x))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) x)) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 x) x) (cos.f64 x))) (.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64)))
(/.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 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x))) (tan.f64 x))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 x (cos.f64 x))) (tan.f64 x))) (/.f64 (tan.f64 x) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (/.f64 (.f64 x x) (+.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))) (neg.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 (-.f64 (.f64 (.f64 x (.f64 x 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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) #s(literal 2 binary64))) (tan.f64 x))

Outputs

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

Calls

2 calls:

16.0ms	x
14.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes15.0ms (0.1%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)
(.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))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(.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)))))))))
(.f64 (.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)
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (/.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)))) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #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 #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 x) (/.f64 #s(literal 1 binary64) (/.f64 (-.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 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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)))))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.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))))))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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))))))) (.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))))))))) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.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))))))))))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))) (tan.f64 x)))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) (tan.f64 x))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.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 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 #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 #s(literal 1 binary64) (/.f64 (tan.f64 x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 x (*.f64 x x)))))

Outputs

(*.f64 (*.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)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)
(.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))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(.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)))))))))

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)
(.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))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))

Outputs
(.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))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) x)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/2 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
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	122
1	78	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(.f64 (.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)
(.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)))))))))
(.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))))))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/2 binary64)

Outputs
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(.f64 (.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)
(.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 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)))))))))
(.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))))))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) x)
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/2 binary64)

soundness1.7s (12.7%)

Rules

5028×	`-lowering-.f32`
5028×	`-lowering-.f64`
4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
3906×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	2383
1	815	2292
2	2649	2230
3	5320	2200
0	8205	2200
0	35	189
1	247	168
2	2168	166
0	9655	166
0	242	2260
1	713	2181
2	2188	2134
3	5694	2134
0	8150	2134
0	105	401
1	317	366
2	976	354
3	3172	324
4	6720	318
0	8256	318
0	256	2272
1	737	2202
2	2285	2100
3	5458	2094
0	8199	2094

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 251 to 129 computations (48.6% saved)

preprocess82.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 544 to 254 computations (53.3% saved)

analyze2.0ms (0%)

sample3.8s (27.8%)

preprocess85.0ms (0.6%)

explain263.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.3%)

localize132.0ms (1%)

series4.0ms (0%)

rewrite314.0ms (2.3%)

simplify425.0ms (3.1%)

eval92.0ms (0.7%)

prune64.0ms (0.5%)

simplify220.0ms (1.6%)

localize1.2s (8.6%)

series25.0ms (0.2%)

rewrite435.0ms (3.2%)

simplify347.0ms (2.6%)

eval235.0ms (1.7%)

prune218.0ms (1.6%)

simplify156.0ms (1.2%)

localize843.0ms (6.2%)

series12.0ms (0.1%)

rewrite341.0ms (2.5%)

simplify278.0ms (2.1%)

eval131.0ms (1%)

prune97.0ms (0.7%)

simplify219.0ms (1.6%)

localize845.0ms (6.3%)

series31.0ms (0.2%)

rewrite371.0ms (2.7%)

simplify232.0ms (1.7%)

eval127.0ms (0.9%)

prune123.0ms (0.9%)

regimes38.0ms (0.3%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify9.0ms (0.1%)

soundness1.7s (12.7%)

preprocess82.0ms (0.6%)

end0.0ms (0%)

Profiling