Metrics for ENA, Section 1.4, Exercise 4a

analyze2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

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 11 computations (26.7% saved)

sample3.6s (23.1%)

Memory

20.7MiB live, 4 486.5MiB allocated

Samples

2.8s	5 738×	2	valid
471.0ms	2 405×	1	valid
7.0ms	113×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-sin: 2.3s (76.6% of total)

adjust: 206.0ms (7% of total)

ival-div: 180.0ms (6.1% of total)

ival-sub: 172.0ms (5.8% of total)

ival-tan: 56.0ms (1.9% of total)

ival-<=: 49.0ms (1.7% of total)

ival-and: 12.0ms (0.4% of total)

exact: 11.0ms (0.4% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

preprocess46.0ms (0.3%)

Memory

10.9MiB live, 49.6MiB allocated

Algorithm

2×	egg-herbie

Rules

272×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
150×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	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)

explain216.0ms (1.4%)

Memory

-6.3MiB live, 273.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
76	0	-	0	-	`(-.f64 x (sin.f64 x))`
57	1	(5.144162264920496e-162)	6	(1.0002061844138631e-105)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	76	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	52	0
↳	`(-.f64 x (sin.f64 x))`	underflow	180

Confusion

	Predicted +	Predicted -
+	127	0
-	1	128

Precision

0.9921875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	1	0	128

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

131.0ms	382×	2	valid
21.0ms	126×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-sin: 90.0ms (71.3% of total)

ival-div: 15.0ms (11.9% of total)

adjust: 9.0ms (7.1% of total)

ival-sub: 7.0ms (5.5% of total)

ival-tan: 4.0ms (3.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify31.0ms (0.2%)

Memory

-0.7MiB live, 36.7MiB allocated

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

272×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
150×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	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)

localize366.0ms (2.3%)

Memory

-14.1MiB live, 110.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	81.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	74.4%	(-.f64 x (sin.f64 x))

Samples

274.0ms	63×	1	valid
57.0ms	191×	2	valid
0.0ms	2×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-sub: 103.0ms (66.9% of total)

ival-sin: 41.0ms (26.6% of total)

ival-div: 4.0ms (2.6% of total)

adjust: 4.0ms (2.6% of total)

ival-tan: 1.0ms (0.6% of total)

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

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

series4.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

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)

rewrite404.0ms (2.6%)

Memory

-19.5MiB live, 555.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 862×	`-lowering-.f32`
5 862×	`-lowering-.f64`
3 904×	`/-lowering-/.f32`
3 904×	`/-lowering-/.f64`
2 230×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	33	15
2	263	15
3	3097	15
0	9004	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 481

Calls

Call 1

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

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

simplify724.0ms (4.6%)

Memory

37.4MiB live, 707.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`accelerator-lowering-fma.f32`
18 358×	`accelerator-lowering-fma.f64`
5 180×	`-lowering-.f32`
5 180×	`-lowering-.f64`
3 422×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 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))))))))))
(/ (* 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 x (.f64 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 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (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) (+.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 (*.f64 x 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 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x 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 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval56.0ms (0.4%)

Memory: 5.2MiB live, 120.6MiB allocated
Compiler: Compiled 12 886 to 1 576 computations (87.8% saved)

prune66.0ms (0.4%)

Memory

-9.1MiB live, 151.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	519	10	529
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	519	11	530

Accuracy

99.9%

Counts

530 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (neg.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))
	1.7%	(/.f64 (-.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 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
▶	55.1%	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	81.2%	(/.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))) (tan.f64 x))
	80.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
	55.1%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
▶	99.6%	(.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))))))
▶	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
	99.4%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
▶	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 486 to 221 computations (54.5% saved)

simplify481.0ms (3.1%)

Memory

25.0MiB live, 657.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 x))
✓	cost-diff	128	(*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	128	(*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	13056	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))) (tan.f64 x))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
✓	cost-diff	0	(+.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)))))
✓	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 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 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 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)))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))

Rules

16 154×	`accelerator-lowering-fma.f32`
16 154×	`accelerator-lowering-fma.f64`
4 194×	`+-lowering-+.f64`
4 194×	`+-lowering-+.f32`
3 718×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	404
1	149	390
2	510	386
3	1603	384
4	4467	384
5	7696	384
0	8038	345

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)))))))
(* 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) (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(* x x)
x
(+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
1/6
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(/ (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) (tan x))
(* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))
x
(* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(* x x)
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
1/6
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
-1/120
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(+ 1/5040 (* (* x x) -1/362880))
1/5040
(* (* x x) -1/362880)
-1/362880
(tan x)
(/ (- (* x (/ 1 (cos x))) (tan x)) (* (tan x) (/ 1 (cos x))))
(- (* x (/ 1 (cos x))) (tan x))
(* x (/ 1 (cos x)))
x
(/ 1 (cos x))
1
(cos x)
(tan x)
(* (tan x) (/ 1 (cos x)))

Outputs
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(.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 (.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 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))
(* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
-23/360
#s(literal -23/360 binary64)
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(.f64 (.f64 x x) (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(* x (+ -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) (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(.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))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(+.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)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(/ (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) (tan x))
(/.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))))) (tan.f64 x))
(* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))))
x
(* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
(+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))
-1/120
#s(literal -1/120 binary64)
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* (* x x) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* (* x x) -1/362880)
(.f64 (.f64 x x) #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(tan x)
(tan.f64 x)
(/ (- (* x (/ 1 (cos x))) (tan x)) (* (tan x) (/ 1 (cos x))))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(- (* x (/ 1 (cos x))) (tan x))
(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
(* x (/ 1 (cos x)))
(/.f64 x (cos.f64 x))
x
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
(tan x)
(tan.f64 x)
(* (tan x) (/ 1 (cos x)))
(/.f64 (tan.f64 x) (cos.f64 x))

localize679.0ms (4.3%)

Memory

1.5MiB live, 716.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	81.4%	(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	74.4%	(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 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))))))))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal -1/362880 binary64))
✓	accuracy	81.4%	(/.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))) (tan.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -11/15120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
✓	accuracy	99.2%	(.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)))))))

Samples

452.0ms	191×	2	valid
45.0ms	63×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 406 to 43 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 442.0ms

adjust: 174.0ms (39.3% of total)

ival-tan: 93.0ms (21% of total)

ival-mult: 57.0ms (12.9% of total)

ival-div: 38.0ms (8.6% of total)

const: 34.0ms (7.7% of total)

ival-cos: 25.0ms (5.7% of total)

ival-add: 16.0ms (3.6% of total)

ival-sub: 3.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.1%)

Memory

6.9MiB live, 45.1MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* x 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) (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))>
#<alt (* (* x x) (+ -23/360 (* (* x x) -11/15120)))>
#<alt (/ (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) (tan x))>
#<alt (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))>
#<alt (/ (- (* x (/ 1 (cos x))) (tan x)) (* (tan x) (/ 1 (cos x))))>
#<alt (* x (/ 1 (cos x)))>
#<alt (* (tan x) (/ 1 (cos x)))>
#<alt (- (* x (/ 1 (cos x))) (tan x))>
#<alt (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* x (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* (* x x) -11/15120)>
#<alt (+ -23/360 (* (* x x) -11/15120))>
#<alt (* (* x x) -1/362880)>
#<alt (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))>

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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -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 (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (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 (* (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 (* -1/362880 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -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 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 (* 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 (* -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 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 (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt -23/360>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))>
#<alt (* -1/362880 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* -1/362880 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* x x) (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
2.0ms	x	@	0	(* (* x x) -1/362880)
1.0ms	x	@	0	(/ (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) (tan x))
1.0ms	x	@	inf	(/ (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) (tan x))
1.0ms	x	@	-inf	(/ (- (* x (/ 1 (cos x))) (tan x)) (* (tan x) (/ 1 (cos x))))

rewrite473.0ms (3%)

Memory

-12.6MiB live, 704.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`-lowering-.f32`
5 168×	`-lowering-.f64`
4 338×	`accelerator-lowering-fma.f32`
4 338×	`accelerator-lowering-fma.f64`
4 094×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	265
1	289	261
2	2527	260
0	9030	233

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 710

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) (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(/ (* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) (tan x))
(* x (* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))
(* (* x x) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(/ (- (* x (/ 1 (cos x))) (tan x)) (* (tan x) (/ 1 (cos x))))
(* x (/ 1 (cos x)))
(* (tan x) (/ 1 (cos x)))
(- (* x (/ 1 (cos x))) (tan x))
(* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(* (* x x) -11/15120)
(+ -23/360 (* (* x x) -11/15120))
(* (* x x) -1/362880)
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))

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

simplify437.0ms (2.8%)

Memory

13.0MiB live, 574.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 376×	`accelerator-lowering-fma.f32`
11 376×	`accelerator-lowering-fma.f64`
5 326×	`-lowering-.f32`
5 326×	`-lowering-.f64`
3 410×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	2662
1	810	2638
2	2691	2554
3	6300	2542
0	8211	2434

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)))))))
(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) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -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))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin 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))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -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))))
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))
(* 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)))))
(* -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 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))))))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(* -1/362880 (pow x 4))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* -1/362880 (pow x 4))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.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 -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal 23/360 binary64) (.f64 (.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) (- (* 1/6 (/ 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 -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.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 -143/604800 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (*.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))))
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eval178.0ms (1.1%)

Memory: 12.7MiB live, 285.3MiB allocated
Compiler: Compiled 36 308 to 3 315 computations (90.9% saved)

prune122.0ms (0.8%)

Memory

-5.6MiB live, 308.2MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 129	13	1 142
Fresh	0	5	5
Picked	3	2	5
Done	0	1	1
Total	1 132	21	1 153

Accuracy

100.0%

Counts

1 153 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (neg.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))
	46.2%	(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) x)) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
▶	81.0%	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
	55.1%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x)))
▶	55.1%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
	1.7%	(/.f64 (-.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 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
✓	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	8.2%	(/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) (tan.f64 x))
▶	99.6%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.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))))))
	99.5%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) #s(literal 1/6 binary64)))))
	81.2%	(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x)) (tan.f64 x))
	80.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
	55.1%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
	55.1%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64)))
▶	99.6%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) x)
	99.6%	(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
▶	98.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.4%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
✓	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 1 156 to 490 computations (57.6% saved)

simplify481.0ms (3.1%)

Memory

-8.0MiB live, 631.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (cos.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
✓	cost-diff	128	(*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	13056	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.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))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
✓	cost-diff	0	(+.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)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) x)

Rules

10 044×	`accelerator-lowering-fma.f32`
10 044×	`accelerator-lowering-fma.f64`
5 606×	`-lowering-.f32`
5 606×	`-lowering-.f64`
3 058×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	916
1	169	880
2	655	729
3	3890	724
4	6034	724
0	8040	642

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 (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
x
(+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
1/6
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(* x x)
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x))
(- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))))
1/36
(* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(* x x)
x
(* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
1/6
(/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))
(/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6))))
(* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))))))
(* x (* x x))
x
(* x x)
(+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))
1/216
(* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))))
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))
(+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))
-1/120
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
(* x (+ 1/5040 (* x (* x -1/362880))))
(+ 1/5040 (* x (* x -1/362880)))
1/5040
(* x (* x -1/362880))
(* x -1/362880)
-1/362880
(* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))
(* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))
(* (* x x) (* x x))
(+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))
1/36
(* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6))
(- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)
1/6
(tan x)
(/ (- (/ x (cos x)) (tan x)) (* (tan x) (/ 1 (cos x))))
(- (/ x (cos x)) (tan x))
(/ x (cos x))
x
(cos x)
(tan x)
(* (tan x) (/ 1 (cos x)))
(/ 1 (cos x))
1

Outputs
(* (* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))) x)
(.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))))))
(* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
x
(+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(+.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)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* x x)
(*.f64 x x)
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(* (* x 1/6) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))))) (+.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)))))))
(* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))))
(- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
1/36
#s(literal 1/36 binary64)
(* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
(* x x)
(*.f64 x x)
x
(* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (-.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
1/6
#s(literal 1/6 binary64)
(/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))
(/.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))))))) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64)))) (tan.f64 x)))
(/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6))))
(/.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64)))))
(* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))
(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))))
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))
(* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))
(.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))
(+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))
(+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))
-1/120
#s(literal -1/120 binary64)
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))
(* x (+ 1/5040 (* x (* x -1/362880))))
(.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* x (* x -1/362880)))
(+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* x (* x -1/362880))
(.f64 (.f64 x x) #s(literal -1/362880 binary64))
(* x -1/362880)
(*.f64 x #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
(* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64)))
(- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
(tan x)
(tan.f64 x)
(/ (- (/ x (cos x)) (tan x)) (* (tan x) (/ 1 (cos x))))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(- (/ x (cos x)) (tan x))
(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
x
(cos x)
(cos.f64 x)
(tan x)
(tan.f64 x)
(* (tan x) (/ 1 (cos x)))
(/.f64 (tan.f64 x) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)

localize823.0ms (5.2%)

Memory

-35.9MiB live, 862.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	81.4%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	74.4%	(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64)))))))))
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64)))))
✓	accuracy	99.3%	(*.f64 x #s(literal -1/362880 binary64))
✓	accuracy	81.4%	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (*.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
✓	accuracy	99.6%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.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))))))
✓	accuracy	99.6%	(.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -11/15120 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))

Samples

443.0ms	191×	2	valid
55.0ms	63×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 942 to 54 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-add: 129.0ms (29.5% of total)

ival-tan: 104.0ms (23.8% of total)

ival-mult: 65.0ms (14.8% of total)

const: 44.0ms (10% of total)

ival-cos: 39.0ms (8.9% of total)

adjust: 23.0ms (5.3% of total)

ival-div: 23.0ms (5.3% of total)

ival-sub: 9.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (* (* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))) x)>
#<alt (* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))>
#<alt (* (* x x) (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x))>
#<alt (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))))>
#<alt (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))>
#<alt (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6))))>
#<alt (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))))))>
#<alt (* x (* x x))>
#<alt (/ (- (/ x (cos x)) (tan x)) (* (tan x) (/ 1 (cos x))))>
#<alt (* (tan x) (/ 1 (cos x)))>
#<alt (- (/ x (cos x)) (tan x))>
#<alt (/ x (cos x))>
#<alt (* (* x x) -11/15120)>
#<alt (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))>
#<alt (* x -1/362880)>
#<alt (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))>
#<alt (/ 1 (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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
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#<alt (* 1/6 x)>
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#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt 1/6>
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#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
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#<alt (* -23/360 (pow x 2))>
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#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
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#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
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#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
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#<alt (* -11/15120 (pow x 6))>
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#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))>
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#<alt 1/36>
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#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))>
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#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (- (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/1680 (/ (cos x) (* (pow x 2) (sin x))))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (- (+ (* -19/280 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/1680 (/ (cos x) (* (pow x 2) (sin x)))))) (+ (* -144 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x))))))))>
#<alt (* (pow x 9) (- (+ (* -19/280 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/1680 (/ (cos x) (* (pow x 2) (sin x)))) (* 162/35 (/ (cos x) (* (pow x 6) (sin x))))))) (+ (* -144 (/ (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x))))) (pow x 6))) (+ (* -144 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* 1/2520 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 31/30 (/ (cos x) (* (pow x 6) (sin x)))) (* 11232 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 6))))))))))>
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#<alt (* -1 (* (pow x 9) (+ (* -1 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1 (/ (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x)))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1 (/ (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 2))) (+ (* -1 (/ (- (* 162/35 (/ (cos x) (sin x))) (+ (* -144 (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x)))))) (+ (* 31/30 (/ (cos x) (sin x))) (* 11232 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))))))) (pow x 6))) (* 1/362880 (/ (cos x) (sin x))))))))>
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#<alt (* -1/47784725839872000 (pow x 21))>
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#<alt (* -1 (* (pow x 21) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))))))>
#<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)>
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#<alt (pow x 3)>
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#<alt (pow x 3)>
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#<alt (/ (* x (cos x)) (sin x))>
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#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt x>
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#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
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#<alt (/ (sin x) (pow (cos x) 2))>
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#<alt (/ x (cos x))>
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#<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))>
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#<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))))))>
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#<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 (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))>
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#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))>
#<alt (* 121/228614400 (pow x 6))>
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#<alt (* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* 121/228614400 (pow x 6))>
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#<alt (* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
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#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))>
#<alt (* -1/362880 (pow x 6))>
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#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
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#<alt (* -1/362880 (pow x 6))>
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#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<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

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))
2.0ms	x	@	-inf	(/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))
1.0ms	x	@	inf	(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
1.0ms	x	@	0	(/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))
0.0ms	x	@	0	(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))

rewrite541.0ms (3.4%)

Memory

18.5MiB live, 1 000.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 652×	`-lowering-.f32`
4 652×	`-lowering-.f64`
4 546×	`/-lowering-/.f32`
4 546×	`/-lowering-/.f64`
3 108×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	492
1	335	366
2	2929	358
0	8467	322

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 767

Calls

Call 1

Inputs
(* (* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))) x)
(* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(* (* x 1/6) x)
(* x 1/6)
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(* (- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))) (* x x))
(- 1/36 (* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))))
(* (* x x) (* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120)))))
(/ (/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6)))) (tan x))
(/ (* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x))))))) (+ 1/36 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (- (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) 1/6))))
(* (* x (* x x)) (+ 1/216 (* (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))) (* (* x x) (* x x)))))))
(* x (* x x))
(/ (- (/ x (cos x)) (tan x)) (* (tan x) (/ 1 (cos x))))
(* (tan x) (/ 1 (cos x)))
(- (/ x (cos x)) (tan x))
(/ x (cos x))
(* (* x x) -11/15120)
(* (+ -23/360 (* (* x x) -11/15120)) (* (* x x) (+ -23/360 (* (* x x) -11/15120))))
(* x -1/362880)
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(/ 1 (cos x))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 0 binary64) (-.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)))))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) x))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) x))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) 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) #s(literal -11/15120 binary64)))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) x))
(neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 0 binary64) (-.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)))))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 x x)))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 x x))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 x x)))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 x x))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 x x)))) (.f64 x x))) (neg.f64 (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (-.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)))))))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (neg.f64 (-.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/1728000 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64)))))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))) #s(literal -1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 x x))) (neg.f64 (-.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64)))))))
(.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64)))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) x)
(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 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(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 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal -1 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 -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))

simplify537.0ms (3.4%)

Memory

-0.8MiB live, 964.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 480×	`accelerator-lowering-fma.f32`
14 480×	`accelerator-lowering-fma.f64`
6 448×	`+-lowering-+.f64`
6 448×	`+-lowering-+.f32`
5 638×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	3143
1	1180	3077
2	3775	2949
0	8273	2840

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) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 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) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))
(* -121/228614400 (pow x 10))
(* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))
(* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))
(* -121/228614400 (pow x 10))
(* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))
(* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))
1/36
(+ 1/36 (* -529/129600 (pow x 4)))
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600)))
(* -121/228614400 (pow x 8))
(* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))
(* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))
(* -121/228614400 (pow x 8))
(* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))
(* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 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))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (- (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/1680 (/ (cos x) (* (pow x 2) (sin x))))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (- (+ (* -19/280 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/1680 (/ (cos x) (* (pow x 2) (sin x)))))) (+ (* -144 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x))))))))
(* (pow x 9) (- (+ (* -19/280 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/1680 (/ (cos x) (* (pow x 2) (sin x)))) (* 162/35 (/ (cos x) (* (pow x 6) (sin x))))))) (+ (* -144 (/ (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x))))) (pow x 6))) (+ (* -144 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* 1/2520 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 31/30 (/ (cos x) (* (pow x 6) (sin x)))) (* 11232 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 6))))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1 (/ (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x)))))))
(* -1 (* (pow x 9) (+ (* -1 (/ (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))) (pow x 2))) (+ (* -1 (/ (- (* 162/35 (/ (cos x) (sin x))) (+ (* -144 (- (* -19/280 (/ (cos x) (sin x))) (+ (* -144 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x))))) (* -13/420 (/ (cos x) (sin x)))))) (+ (* 31/30 (/ (cos x) (sin x))) (* 11232 (- (* 1/1680 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (sin x)))))))) (pow x 6))) (* 1/362880 (/ (cos x) (sin 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))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 1/216 (pow x 3))
(* (pow x 3) (+ 1/216 (* -1/1728000 (pow x 6))))
(* (pow x 3) (+ 1/216 (* (pow x 6) (- (* 1/24192000 (pow x 2)) 1/1728000))))
(* (pow x 3) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/24192000 (* -19/12192768000 (pow x 2)))) 1/1728000))))
(* -1/47784725839872000 (pow x 21))
(* (pow x 21) (- (* 1/221225582592000 (/ 1 (pow x 2))) 1/47784725839872000))
(* (pow x 21) (- (* 1/221225582592000 (/ 1 (pow x 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4)))))
(* (pow x 21) (- (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4)))))
(* -1/47784725839872000 (pow x 21))
(* -1 (* (pow x 21) (- 1/47784725839872000 (* 1/221225582592000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 21) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (* 1/221225582592000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 21) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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))))
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))
(* 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))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* 529/129600 (pow x 2))
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(* 121/228614400 (pow x 6))
(* (pow x 6) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* 121/228614400 (pow x 6))
(* (pow x 6) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(* -1/362880 (pow x 6))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 6))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
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 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) (- (* -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))))))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(* -11/15120 (pow x 5))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -11/15120 (pow x 5))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(+ 1/6 (* (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) (- (* -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))))))
(* -11/15120 (pow x 4))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(* -11/15120 (pow x 4))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 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) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* -11/15120 (pow x 4))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -11/15120 (pow x 4))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* (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) (- (* -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))))))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -529/129600 binary64))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (.f64 (.f64 x x) #s(literal -253/2721600 binary64)))))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -253/2721600 binary64) (.f64 (.f64 x x) #s(literal -121/228614400 binary64))))))))
(* -121/228614400 (pow x 10))
(*.f64 #s(literal -121/228614400 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -121/228614400 binary64) (/.f64 #s(literal -253/2721600 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))
(.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal -121/228614400 binary64) (/.f64 (+.f64 #s(literal 253/2721600 binary64) (/.f64 #s(literal 529/129600 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 #s(literal -121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) (/.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -121/228614400 (pow x 10))
(*.f64 #s(literal -121/228614400 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -121/228614400 binary64) (/.f64 #s(literal -253/2721600 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))
(.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal -121/228614400 binary64) (/.f64 (+.f64 #s(literal 253/2721600 binary64) (/.f64 #s(literal 529/129600 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))
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(* -1 (* (pow x 21) (- (+ 1/47784725839872000 (/ 19/36870930432000 (pow x 4))) (+ (* 1/221225582592000 (/ 1 (pow x 2))) (* 1/28449792000 (/ 1 (pow x 6)))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 21 binary64)) (+.f64 (+.f64 #s(literal 1/47784725839872000 binary64) (/.f64 #s(literal 19/36870930432000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/221225582592000 binary64) (*.f64 x x)) (/.f64 #s(literal -1/28449792000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.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 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 (.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 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(/ (* 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 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 5/6 binary64))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/6 binary64) (.f64 (*.f64 x x) #s(literal 61/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 61/120 binary64) (.f64 (*.f64 x x) #s(literal 277/1008 binary64))))))))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 3/40 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* 31/1008 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal 31/1008 binary64)))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* (pow x 2) (+ 31/1008 (* 647/51840 (pow x 2))))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (+.f64 #s(literal 31/1008 binary64) (.f64 (*.f64 x x) #s(literal 647/51840 binary64))))))))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (*.f64 x x) #s(literal 61/720 binary64)))))))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x #s(literal 253/2721600 binary64))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (+.f64 #s(literal 253/2721600 binary64) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (+.f64 #s(literal 253/2721600 binary64) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)))))))
(* 121/228614400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 6) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) (/.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) (/.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* 121/228614400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 6) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) (/.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) (/.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/120 (pow x 2))
(.f64 x (.f64 x #s(literal -1/120 binary64)))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))
(* -1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 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))

eval206.0ms (1.3%)

Memory: -3.8MiB live, 463.0MiB allocated
Compiler: Compiled 75 325 to 3 749 computations (95% saved)

prune154.0ms (1%)

Memory

-3.7MiB live, 287.4MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 298	7	1 305
Fresh	3	10	13
Picked	2	3	5
Done	0	3	3
Total	1 303	23	1 326

Accuracy

100.0%

Counts

1 326 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (neg.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))
	46.2%	(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) x)) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
	81.0%	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
	55.1%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x)))
✓	55.1%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
	1.7%	(/.f64 (-.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 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
✓	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	99.5%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) #s(literal 1/6 binary64)))))
	99.4%	(/.f64 (.f64 (.f64 x x) #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) #s(literal -11/15120 binary64))))))
▶	81.2%	(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x)) (tan.f64 x))
	99.6%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (.f64 (.f64 x x) #s(literal -253/2721600 binary64))))))) (-.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))))))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
	55.1%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
▶	99.6%	(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
▶	55.1%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64)))
	99.6%	(.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (/.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))))))))
✓	99.6%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) x)
	99.4%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) x)
	99.6%	(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
▶	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
✓	98.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 1 264 to 546 computations (56.8% saved)

simplify348.0ms (2.2%)

Memory

2.5MiB live, 520.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	cost-diff	6528	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64)))
✓	cost-diff	6592	(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))))) x)
✓	cost-diff	0	(.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x)) (tan.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -23/360 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))

Rules

10 750×	`accelerator-lowering-fma.f32`
10 750×	`accelerator-lowering-fma.f64`
4 426×	`-lowering-.f32`
4 426×	`-lowering-.f64`
1 888×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	583
1	158	573
2	569	561
3	2274	555
4	4295	554
5	7491	554
0	8013	499

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) (- 1/36 (* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120))))))
(/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(* x x)
x
(- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
1/6
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(- 1/36 (* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120)))))
1/36
(* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120))))
(* (* x x) (* x (+ -23/360 (* (* x x) -11/15120))))
(* (* x x) (+ 1/6 (* (* x x) -23/360)))
(* x x)
x
(+ 1/6 (* (* x x) -23/360))
1/6
(* (* x x) -23/360)
-23/360
(/ 1 (/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))))
1
(/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))))
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(* x x)
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
1/6
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(/ (* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)) (tan x))
(* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x))
x
(* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)
(* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
(+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))
1/6
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))
(+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))
-1/120
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
(* x (+ 1/5040 (* x (* x -1/362880))))
(+ 1/5040 (* x (* x -1/362880)))
1/5040
(* x (* x -1/362880))
(* x -1/362880)
-1/362880
(tan x)
(* (/ 1 (tan x)) (pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1))
(/ 1 (tan x))
1
(tan x)
x
(pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1)
(/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x)))
(/ 1 (cos x))
(cos x)
(- (/ x (cos x)) (tan x))
(/ x (cos x))
-1

Outputs
(* (/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) (- 1/36 (* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120))))))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(* x x)
(*.f64 x x)
x
(- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(- 1/36 (* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120)))))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 #s(literal 23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
1/36
#s(literal 1/36 binary64)
(* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(* (* x x) (* x (+ -23/360 (* (* x x) -11/15120))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
(* (* x x) (+ 1/6 (* (* x x) -23/360)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) -23/360))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -23/360)
(.f64 (.f64 x x) #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
(/ 1 (/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))))
(.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))))))))
1
#s(literal 1 binary64)
(/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(.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))))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(/ (* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)) (tan x))
(.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))) (*.f64 x (/.f64 x (tan.f64 x)))))
(* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x))
(.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 (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) 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 (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
(+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))))
(* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))
(.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))
(+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))
(+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))
-1/120
#s(literal -1/120 binary64)
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64))))
(* x (+ 1/5040 (* x (* x -1/362880))))
(.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* x (* x -1/362880)))
(+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* x (* x -1/362880))
(.f64 (.f64 x x) #s(literal -1/362880 binary64))
(* x -1/362880)
(*.f64 x #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(tan x)
(tan.f64 x)
(* (/ 1 (tan x)) (pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) #s(literal -1 binary64)))
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
1
#s(literal 1 binary64)
(tan x)
(tan.f64 x)
x
(pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1)
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)))
(/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(- (/ x (cos x)) (tan x))
(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
-1
#s(literal -1 binary64)

localize1.2s (7.4%)

Memory

-153.7MiB live, 833.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)))
✓	accuracy	98.5%	(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64))
✓	accuracy	81.3%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64)))
✓	accuracy	74.4%	(-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64)))))))))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))
✓	accuracy	99.3%	(*.f64 x #s(literal -1/362880 binary64))
✓	accuracy	81.4%	(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x)) (tan.f64 x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
✓	accuracy	99.2%	(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal -23/360 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))
✓	accuracy	99.8%	(/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
✓	accuracy	99.7%	(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
✓	accuracy	99.2%	(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))

Samples

402.0ms	61×	1	valid
298.0ms	164×	2	valid
46.0ms	27×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 589 to 52 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-tan: 102.0ms (26.9% of total)

ival-mult: 93.0ms (24.6% of total)

ival-div: 46.0ms (12.1% of total)

const: 35.0ms (9.2% of total)

ival-cos: 32.0ms (8.4% of total)

adjust: 27.0ms (7.1% of total)

ival-pow: 21.0ms (5.5% of total)

ival-add: 14.0ms (3.7% of total)

ival-sub: 8.0ms (2.1% of total)

exact: 1.0ms (0.3% of total)

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

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

series16.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* (/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) (- 1/36 (* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120))))))>
#<alt (/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))>
#<alt (* x x)>
#<alt (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) -23/360)))>
#<alt (+ 1/6 (* (* x x) -23/360))>
#<alt (* (* x x) -23/360)>
#<alt (/ 1 (/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))))>
#<alt (/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))))>
#<alt (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))>
#<alt (/ (* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)) (tan x))>
#<alt (* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x))>
#<alt (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)>
#<alt (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))>
#<alt (pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1)>
#<alt (* (/ 1 (tan x)) (pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1))>
#<alt (/ 1 (tan x))>
#<alt (tan x)>
#<alt (* x (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* x (* x (+ -23/360 (* (* x x) -11/15120))))>
#<alt (* x -1/362880)>
#<alt (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))>
#<alt (- (/ x (cos x)) (tan x))>
#<alt (/ (/ 1 (cos x)) (- (/ x (cos x)) (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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 6 (pow x 2))>
#<alt (* (pow x 2) (+ 6 (* -23/10 (pow x 2))))>
#<alt (* (pow x 2) (+ 6 (* (pow x 2) (- (* 3593/4200 (pow x 2)) 23/10))))>
#<alt (* (pow x 2) (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3593/4200 (* -8901/28000 (pow x 2)))) 23/10))))>
#<alt (/ 15120/11 (pow x 2))>
#<alt (/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 12819849678720/14641 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 15120/11 (pow x 2))>
#<alt (/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 12819849678720/14641 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* 23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))>
#<alt (* 11/15120 (pow x 4))>
#<alt (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 11/15120 (pow x 4))>
#<alt (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) (pow x 2))>
#<alt (/ -15120/11 (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (/ -15120/11 (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (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 (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (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 (* (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 (* -1/362880 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -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 (* 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 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 (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/120 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))>
#<alt (* -1/362880 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<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 (/ 6 (pow x 3))>
#<alt (/ (+ 6 (* 3/10 (pow x 2))) (pow x 3))>
#<alt (/ (+ 6 (* (pow x 2) (+ 3/10 (* 11/1400 (pow x 2))))) (pow x 3))>
#<alt (/ (+ 6 (* (pow x 2) (+ 3/10 (* (pow x 2) (+ 11/1400 (* 17/126000 (pow x 2))))))) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (sin x) x)) x)>
#<alt (/ (- (+ 1 (/ (pow (sin x) 2) (pow x 2))) (* -1 (/ (sin x) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (sin x) 3) (pow x 3))) (+ (* -1 (/ (sin x) x)) (* -1 (/ (pow (sin x) 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (sin x) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 2) x) (* -1 (sin x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin x) 3) x)) (pow (sin x) 2)) x)) (* -1 (sin x))) x)) 1) x))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ 1 (tan x))
1.0ms	x	@	inf	(* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
0.0ms	x	@	-inf	(/ 1 (tan x))
0.0ms	x	@	inf	(* (* x x) (+ 1/6 (* (* x x) -23/360)))
0.0ms	x	@	inf	(/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x)))

rewrite608.0ms (3.9%)

Memory

-32.9MiB live, 1 010.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 128×	`-lowering-.f32`
5 128×	`-lowering-.f64`
4 906×	`/-lowering-/.f32`
4 906×	`/-lowering-/.f64`
2 508×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	399
1	322	309
2	2699	309
0	8977	281

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 210

Calls

Call 1

Inputs
(* (/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) (- 1/36 (* (* (* x x) (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (+ -23/360 (* (* x x) -11/15120))))))
(/ (* x x) (- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(* x x)
(- 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(* (* x x) (+ 1/6 (* (* x x) -23/360)))
(+ 1/6 (* (* x x) -23/360))
(* (* x x) -23/360)
(/ 1 (/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))))
(/ 1 (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))))
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(/ (* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)) (tan x))
(* x (* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x))
(* (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))) x)
(* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
(pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1)
(* (/ 1 (tan x)) (pow (/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x))) -1))
(/ 1 (tan x))
(tan x)
(* x (+ -23/360 (* (* x x) -11/15120)))
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(* x -1/362880)
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(- (/ x (cos x)) (tan x))
(/ (/ 1 (cos x)) (- (/ x (cos x)) (tan x)))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (/.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))))))) #s(literal 1/36 binary64)) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))))
(exp.f64 (log.f64 (.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))))))))))
(exp.f64 (.f64 (log.f64 (.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))))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.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)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/1296 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (.f64 x x))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x (*.f64 x x))))
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(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 x (cos.f64 x))))))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.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 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (/.f64 x (cos.f64 x))))))
(.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 x (cos.f64 x))))))))
(.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.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)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (/.f64 x (cos.f64 x))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (cos.f64 x)) (/.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 x (cos.f64 x))))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.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 (tan.f64 x) (/.f64 x (cos.f64 x))) #s(literal 1 binary64)))

simplify501.0ms (3.2%)

Memory

19.1MiB live, 1 043.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 452×	`accelerator-lowering-fma.f32`
13 452×	`accelerator-lowering-fma.f64`
5 626×	`-lowering-.f32`
5 626×	`-lowering-.f64`
4 376×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	3197
1	1138	3163
2	3383	3090
0	8447	2974

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* -23/10 (pow x 2))))
(* (pow x 2) (+ 6 (* (pow x 2) (- (* 3593/4200 (pow x 2)) 23/10))))
(* (pow x 2) (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3593/4200 (* -8901/28000 (pow x 2)))) 23/10))))
(/ 15120/11 (pow x 2))
(/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 12819849678720/14641 (/ 1 (pow x 6))))) (pow x 2))
(/ 15120/11 (pow x 2))
(/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 12819849678720/14641 (/ 1 (pow x 6))))) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(+ 1/6 (* 23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))
(* 11/15120 (pow x 4))
(* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(* 11/15120 (pow x 4))
(* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) (pow x 2))
(/ -15120/11 (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/ -15120/11 (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (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) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (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))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin 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))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 7))
(* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 7))
(* -1 (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -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)))
(* 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 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))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(* -1/362880 (pow x 6))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 6))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* 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)))))
(/ 6 (pow x 3))
(/ (+ 6 (* 3/10 (pow x 2))) (pow x 3))
(/ (+ 6 (* (pow x 2) (+ 3/10 (* 11/1400 (pow x 2))))) (pow x 3))
(/ (+ 6 (* (pow x 2) (+ 3/10 (* (pow x 2) (+ 11/1400 (* 17/126000 (pow x 2))))))) (pow x 3))
(/ 1 x)
(/ (+ 1 (/ (sin x) x)) x)
(/ (- (+ 1 (/ (pow (sin x) 2) (pow x 2))) (* -1 (/ (sin x) x))) x)
(/ (- (+ 1 (/ (pow (sin x) 3) (pow x 3))) (+ (* -1 (/ (sin x) x)) (* -1 (/ (pow (sin x) 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (sin x) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 2) x) (* -1 (sin x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin x) 3) x)) (pow (sin x) 2)) x)) (* -1 (sin x))) x)) 1) x))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* 6 (pow x 2))
(.f64 (.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (+ 6 (* -23/10 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -23/10 binary64)))))
(* (pow x 2) (+ 6 (* (pow x 2) (- (* 3593/4200 (pow x 2)) 23/10))))
(.f64 (.f64 x x) (+.f64 #s(literal 6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/10 binary64) (.f64 (.f64 x x) #s(literal 3593/4200 binary64)))))))
(* (pow x 2) (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3593/4200 (* -8901/28000 (pow x 2)))) 23/10))))
(.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/10 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3593/4200 binary64) (.f64 (.f64 x x) #s(literal -8901/28000 binary64)))))))))
(/ 15120/11 (pow x 2))
(/.f64 #s(literal 15120/11 binary64) (*.f64 x x))
(/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15120/11 binary64) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15120/11 binary64) (+.f64 (/.f64 #s(literal 13690192320/1331 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 12819849678720/14641 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 15120/11 binary64) (-.f64 (/.f64 #s(literal 13690192320/1331 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) (/.f64 #s(literal 12819849678720/14641 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 15120/11 (pow x 2))
(/.f64 #s(literal 15120/11 binary64) (*.f64 x x))
(/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15120/11 binary64) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15120/11 binary64) (+.f64 (/.f64 #s(literal 13690192320/1331 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 15120/11 (/ 13690192320/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 12819849678720/14641 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 15120/11 binary64) (-.f64 (/.f64 #s(literal 13690192320/1331 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) (/.f64 #s(literal 12819849678720/14641 binary64) (pow.f64 x #s(literal 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
#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) (+ 23/360 (* 11/15120 (pow x 2)))))
(+.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)))))
(+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) #s(literal 11/15120 binary64)))))
(* 11/15120 (pow x 4))
(.f64 x (.f64 #s(literal 11/15120 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(* 11/15120 (pow x 4))
(.f64 x (.f64 #s(literal 11/15120 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* 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 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 x (.f64 x #s(literal 23/10 binary64)))) (*.f64 x x))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 23/10 binary64) (.f64 (.f64 x x) #s(literal 1271/1400 binary64))))) (*.f64 x x))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 23/10 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1271/1400 binary64) (.f64 (.f64 x x) #s(literal 90229/252000 binary64))))))) (*.f64 x x))
(/ -15120/11 (pow x 6))
(/.f64 #s(literal -15120/11 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal -15120/11 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal -15120/11 binary64) (+.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) (/.f64 #s(literal -14528445120/1331 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -15120/11 binary64))) (/.f64 #s(literal -14528445120/1331 binary64) (.f64 (.f64 x x) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ -15120/11 (pow x 6))
(/.f64 #s(literal -15120/11 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal -15120/11 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal -15120/11 binary64) (+.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) (/.f64 #s(literal -14528445120/1331 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -15120/11 binary64))) (/.f64 #s(literal -14528445120/1331 binary64) (.f64 (.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))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
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(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 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 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 4))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -11/15120 (pow x 4))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/120 (pow x 2))
(.f64 x (.f64 x #s(literal -1/120 binary64)))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) #s(literal -1/362880 binary64)))))))
(* -1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (/.f64 #s(literal -1/120 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 (* 3/40 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* 31/1008 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal 31/1008 binary64)))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 3/40 (* (pow x 2) (+ 31/1008 (* 647/51840 (pow x 2))))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (+.f64 #s(literal 31/1008 binary64) (.f64 (*.f64 x x) #s(literal 647/51840 binary64)))))))))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(* x (+ (* -1 (/ (sin x) (* x (cos x)))) (/ 1 (cos x))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(* -1 (* x (- (/ (sin x) (* x (cos x))) (/ 1 (cos x)))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(/ 6 (pow x 3))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/ (+ 6 (* 3/10 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 3/10 binary64))) (.f64 x (.f64 x x)))
(/ (+ 6 (* (pow x 2) (+ 3/10 (* 11/1400 (pow x 2))))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/10 binary64) (.f64 x (.f64 x #s(literal 11/1400 binary64))))))) (.f64 x (.f64 x x)))
(/ (+ 6 (* (pow x 2) (+ 3/10 (* (pow x 2) (+ 11/1400 (* 17/126000 (pow x 2))))))) (pow x 3))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/10 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/1400 binary64) (.f64 (.f64 x x) #s(literal 17/126000 binary64)))))))) (.f64 x (.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ (sin x) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(/ (- (+ 1 (/ (pow (sin x) 2) (pow x 2))) (* -1 (/ (sin x) x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) x)) x)
(/ (- (+ 1 (/ (pow (sin x) 3) (pow x 3))) (+ (* -1 (/ (sin x) x)) (* -1 (/ (pow (sin x) 2) (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) x)) (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (sin x) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 2) x) (* -1 (sin x))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin x) 3) x)) (pow (sin x) 2)) x)) (* -1 (sin x))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))) x)) x)) x)

eval303.0ms (1.9%)

Memory: 14.4MiB live, 563.7MiB allocated
Compiler: Compiled 79 265 to 4 871 computations (93.9% saved)

prune311.0ms (2%)

Memory

12.0MiB live, 547.7MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 890	7	1 897
Fresh	5	7	12
Picked	3	2	5
Done	0	6	6
Total	1 898	22	1 920

Accuracy

100.0%

Counts

1 920 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
	55.1%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x)))
✓	55.1%	(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
	1.7%	(/.f64 (-.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 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
✓	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	99.4%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
	99.4%	(/.f64 (.f64 (.f64 x x) #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) #s(literal -11/15120 binary64))))))
✓	81.2%	(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x)) (tan.f64 x))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
	55.1%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
	98.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
	55.1%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)))))
	22.6%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
✓	99.6%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) x)
	99.4%	(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) x)
	99.6%	(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
✓	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
✓	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
	48.2%	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
✓	98.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	98.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	55.1%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) (tan.f64 x))) #s(literal -1 binary64)))

Compiler

Compiled 1 533 to 457 computations (70.2% saved)

regimes22.0ms (0.1%)

Memory

-24.9MiB live, 54.0MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x 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 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 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 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))) x)
(/.f64 (.f64 (.f64 x x) #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) #s(literal -11/15120 binary64))))))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (.f64 (.f64 x x) #s(literal -253/2721600 binary64))))))) (-.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 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -12167/46656000 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (/.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))))))))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))))))) (.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 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))) (tan.f64 x))
(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))) x)) (tan.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) (tan.f64 x))
(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x)))
(/.f64 (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (/.f64 x (cos.f64 x)) (tan.f64 x))) (tan.f64 x))) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) x)) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (neg.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 (.f64 x x)) (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (.f64 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (tan.f64 x) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))

Outputs

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

Calls

2 calls:

11.0ms	x
8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(.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))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total -0.5b remaining (-67.7%)

Threshold costs -0.5b (-67.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify19.0ms (0.1%)

Memory

-26.8MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
12×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	73
1	48	73

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (10.7%)

Memory

18.7MiB live, 1 678.2MiB allocated

Rules

18 358×	`accelerator-lowering-fma.f32`
18 358×	`accelerator-lowering-fma.f64`
5 180×	`-lowering-.f32`
5 180×	`-lowering-.f64`
5 168×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	265
1	289	261
2	2527	260
0	9030	233
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318

Stop Event

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

Compiler

Compiled 147 to 71 computations (51.7% saved)

preprocess41.0ms (0.3%)

Memory: 35.6MiB live, 106.5MiB allocated
Remove: (abs x)
Compiler: Compiled 320 to 162 computations (49.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16

analyze2.0ms (0%)

sample3.6s (23.1%)

preprocess46.0ms (0.3%)

explain216.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.2%)

localize366.0ms (2.3%)

series4.0ms (0%)

rewrite404.0ms (2.6%)

simplify724.0ms (4.6%)

eval56.0ms (0.4%)

prune66.0ms (0.4%)

simplify481.0ms (3.1%)

localize679.0ms (4.3%)

series23.0ms (0.1%)

rewrite473.0ms (3%)

simplify437.0ms (2.8%)

eval178.0ms (1.1%)

prune122.0ms (0.8%)

simplify481.0ms (3.1%)

localize823.0ms (5.2%)

series17.0ms (0.1%)

rewrite541.0ms (3.4%)

simplify537.0ms (3.4%)

eval206.0ms (1.3%)

prune154.0ms (1%)

simplify348.0ms (2.2%)

localize1.2s (7.4%)

series16.0ms (0.1%)

rewrite608.0ms (3.9%)

simplify501.0ms (3.2%)

eval303.0ms (1.9%)

prune311.0ms (2%)

regimes22.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify19.0ms (0.1%)

soundness1.7s (10.7%)

preprocess41.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16