Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.2s (35.6%)

Memory

51.2MiB live, 2 052.8MiB allocated

Samples

893.0ms	2 296×	2	valid
408.0ms	4 235×	0	valid
342.0ms	555×	3	valid
194.0ms	1 170×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 1.1s (69.3% of total)

ival-div: 211.0ms (13.6% of total)

adjust: 95.0ms (6.1% of total)

ival-sub: 88.0ms (5.7% of total)

ival-mult: 67.0ms (4.3% of total)

ival-true: 6.0ms (0.4% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain137.0ms (2.2%)

Memory

29.9MiB live, 164.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
69	2	(0.09267417729917724)	2	(-3.8115655776392586e+214)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
64	0	-	2	(-1.0788105704182058e-156)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	69	9
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	55	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	55
↳	`(*.f64 x x)`	underflow	55
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	7	0
↳	`(*.f64 x x)`	overflow	67

Confusion

	Predicted +	Predicted -
+	127	2
-	4	123

Precision

0.9694656488549618

Recall

0.9844961240310077

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	2	0
-	4	7	116

Precision?

0.9214285714285714

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	142×	2	valid
22.0ms	276×	0	valid
11.0ms	32×	3	valid
7.0ms	62×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-cos: 41.0ms (63.4% of total)

adjust: 6.0ms (9.3% of total)

ival-div: 6.0ms (9.3% of total)

ival-mult: 6.0ms (9.3% of total)

ival-sub: 5.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess144.0ms (2.3%)

Memory

8.9MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	35	17
2	100	17
3	157	17
4	228	17
5	307	17
6	541	17
7	1187	17
8	2538	17
9	5009	17
0	6	8
0	10	8
1	27	8
2	62	8
3	108	8
4	154	8
5	208	8
6	294	8
7	528	8
8	1173	8
9	2520	8
10	4972	8
0	8040	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

series3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 17

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))

simplify150.0ms (2.4%)

Memory

-2.6MiB live, 182.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	154
1	123	154
2	327	154
3	1154	154
4	2765	154
5	5117	154
0	8046	136

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite125.0ms (2%)

Memory

-21.1MiB live, 123.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	45	19
2	321	19
0	3333	19

Stop Event

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

Counts

6 → 146

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: 38.6MiB live, 38.6MiB allocated
Compiler: Compiled 3 350 to 641 computations (80.9% saved)

prune16.0ms (0.3%)

Memory

-13.8MiB live, 31.9MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	170	18	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	19	189

Accuracy

100.0%

Counts

189 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
	76.4%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	54.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	14.7%	(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	19.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	14.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
	19.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
▶	14.8%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	52.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	2.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
	26.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	76.4%	(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
▶	54.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
▶	76.7%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
	47.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 596 to 376 computations (36.9% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

series19.0ms (0.3%)

Memory

-14.2MiB live, 30.6MiB allocated

Counts

34 → 79

Calls

Call 1

Inputs
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x x))
#s(literal -1 binary64)
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
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))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(pow x 2)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 x)
(* -1 (pow x 4))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* (pow x 2) (+ 1 (cos x)))
(* x (+ 1 (cos x)))
(+ 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* -1 (* (pow x 2) (cos x)))
(/ (cos x) (pow x 2))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) x (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x) (+ (cos x) 1) (cos x) 1 (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) -2 (* (cos x) (pow x -2)))
7.0ms	x	@	inf	((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) x (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x) (+ (cos x) 1) (cos x) 1 (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) -2 (* (cos x) (pow x -2)))
3.0ms	x	@	0	((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) x (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x) (+ (cos x) 1) (cos x) 1 (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) -2 (* (cos x) (pow x -2)))

Time

Variable

Point

Expression

7.0ms

-inf

((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) x (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x) (+ (cos x) 1) (cos x) 1 (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) -2 (* (cos x) (pow x -2)))

7.0ms

inf

((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) x (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x) (+ (cos x) 1) (cos x) 1 (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) -2 (* (cos x) (pow x -2)))

3.0ms

((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) x (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x) (+ (cos x) 1) (cos x) 1 (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) -2 (* (cos x) (pow x -2)))

simplify140.0ms (2.2%)

Memory

14.1MiB live, 249.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	813
1	473	806
2	1398	792
3	4455	789
0	8154	745

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
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))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(pow x 2)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 x)
(* -1 (pow x 4))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* (pow x 2) (+ 1 (cos x)))
(* x (+ 1 (cos x)))
(+ 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* -1 (* (pow x 2) (cos x)))
(/ (cos x) (pow x 2))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(sin x)
(sin.f64 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (cos x)))
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (cos x)))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite194.0ms (3.1%)

Memory

26.1MiB live, 216.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	254
0	66	248
1	257	225
2	1963	220
0	8160	218

Stop Event

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

Counts

34 → 1 189

Calls

Call 1

Inputs
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x x))
#s(literal -1 binary64)
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))

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

eval208.0ms (3.3%)

Memory: -42.5MiB live, 312.9MiB allocated
Compiler: Compiled 37 079 to 5 122 computations (86.2% saved)

prune71.0ms (1.1%)

Memory

16.9MiB live, 121.5MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 497	20	1 517
Fresh	6	7	13
Picked	3	2	5
Done	0	1	1
Total	1 506	30	1 536

Accuracy

100.0%

Counts

1 536 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.9%	(/.f64 (fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	15.0%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	54.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	27.8%	(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
	54.7%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
	3.5%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
▶	2.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
▶	19.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	15.0%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.9%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.8%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
	1.8%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	27.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
	52.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
	26.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	14.8%	(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.8%	(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	54.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	52.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
	77.1%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
▶	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
	54.1%	(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
	49.8%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
▶	47.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 069 to 642 computations (39.9% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

series22.0ms (0.3%)

Memory

-7.4MiB live, 37.7MiB allocated

Counts

43 → 91

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x))
(.f64 x (.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))
(*.f64 (neg.f64 x) (cos.f64 x))
(.f64 (neg.f64 x) (.f64 x x))

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* 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))))
(pow x 2)
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ -1 x)
(* -1 (pow x 2))
(* -1 x)
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(pow x 3)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 (pow x 3))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin x) x)
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* x (- 1 (cos x)))
(* x (cos x))
(* -1 (cos x))
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(- 1 (cos x))
(* (pow x 2) (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (cos x))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (neg x) (* (neg x) x))) (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (/ -1 x) (* (neg x) x)) (/ -1 x) -1 (* (neg x) x) (neg x) (* (neg x) (neg (cos x))) (neg (cos x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 1 (* (neg x) (* (neg x) x)) (/ (- 1 (/ (* x (* (cos x) x)) (* x x))) (* x x)) (- 1 (/ (* x (* (cos x) x)) (* x x))) (/ (* x (* (cos x) x)) (* x x)) (* x (* (cos x) x)) (* (cos x) x) (cos x) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (/ -1 x) (* x x)) (* (neg x) (cos x)) (* (neg x) (* x x)))
6.0ms	x	@	-inf	((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (neg x) (* (neg x) x))) (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (/ -1 x) (* (neg x) x)) (/ -1 x) -1 (* (neg x) x) (neg x) (* (neg x) (neg (cos x))) (neg (cos x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 1 (* (neg x) (* (neg x) x)) (/ (- 1 (/ (* x (* (cos x) x)) (* x x))) (* x x)) (- 1 (/ (* x (* (cos x) x)) (* x x))) (/ (* x (* (cos x) x)) (* x x)) (* x (* (cos x) x)) (* (cos x) x) (cos x) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (/ -1 x) (* x x)) (* (neg x) (cos x)) (* (neg x) (* x x)))
3.0ms	x	@	0	((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (neg x) (* (neg x) x))) (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (/ -1 x) (* (neg x) x)) (/ -1 x) -1 (* (neg x) x) (neg x) (* (neg x) (neg (cos x))) (neg (cos x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 1 (* (neg x) (* (neg x) x)) (/ (- 1 (/ (* x (* (cos x) x)) (* x x))) (* x x)) (- 1 (/ (* x (* (cos x) x)) (* x x))) (/ (* x (* (cos x) x)) (* x x)) (* x (* (cos x) x)) (* (cos x) x) (cos x) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (/ -1 x) (* x x)) (* (neg x) (cos x)) (* (neg x) (* x x)))

Time

Variable

Point

Expression

11.0ms

inf

((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (neg x) (* (neg x) x))) (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (/ -1 x) (* (neg x) x)) (/ -1 x) -1 (* (neg x) x) (neg x) (* (neg x) (neg (cos x))) (neg (cos x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 1 (* (neg x) (* (neg x) x)) (/ (- 1 (/ (* x (* (cos x) x)) (* x x))) (* x x)) (- 1 (/ (* x (* (cos x) x)) (* x x))) (/ (* x (* (cos x) x)) (* x x)) (* x (* (cos x) x)) (* (cos x) x) (cos x) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (/ -1 x) (* x x)) (* (neg x) (cos x)) (* (neg x) (* x x)))

6.0ms

-inf

((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (neg x) (* (neg x) x))) (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (/ -1 x) (* (neg x) x)) (/ -1 x) -1 (* (neg x) x) (neg x) (* (neg x) (neg (cos x))) (neg (cos x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 1 (* (neg x) (* (neg x) x)) (/ (- 1 (/ (* x (* (cos x) x)) (* x x))) (* x x)) (- 1 (/ (* x (* (cos x) x)) (* x x))) (/ (* x (* (cos x) x)) (* x x)) (* x (* (cos x) x)) (* (cos x) x) (cos x) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (/ -1 x) (* x x)) (* (neg x) (cos x)) (* (neg x) (* x x)))

3.0ms

((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (neg x) (* (neg x) x))) (- (* (/ -1 x) (* (neg x) x)) (* (neg x) (neg (cos x)))) (* (/ -1 x) (* (neg x) x)) (/ -1 x) -1 (* (neg x) x) (neg x) (* (neg x) (neg (cos x))) (neg (cos x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 1 (* (neg x) (* (neg x) x)) (/ (- 1 (/ (* x (* (cos x) x)) (* x x))) (* x x)) (- 1 (/ (* x (* (cos x) x)) (* x x))) (/ (* x (* (cos x) x)) (* x x)) (* x (* (cos x) x)) (* (cos x) x) (cos x) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (/ -1 x) (* x x)) (* (neg x) (cos x)) (* (neg x) (* x x)))

simplify133.0ms (2.1%)

Memory

18.4MiB live, 153.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	920
1	497	900
2	1452	898
3	3746	893
0	8160	839

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 90

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* 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))))
(pow x 2)
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ -1 x)
(* -1 (pow x 2))
(* -1 x)
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(pow x 3)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 (pow x 3))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin x) x)
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* x (- 1 (cos x)))
(* x (cos x))
(* -1 (cos x))
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(- 1 (cos x))
(* (pow x 2) (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (cos x))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
x
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))
(* -1/2 (pow x 3))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* x (- (* 1/2 (pow x 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)
(* x (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* -1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/720 (pow x 3))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* (pow x 2) (cos x))
(.f64 (.f64 (cos.f64 x) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 x))
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 1 (cos x))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)

rewrite124.0ms (2%)

Memory

-15.3MiB live, 164.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	363
0	84	334
1	314	286
0	2461	285

Stop Event

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

Counts

43 → 608

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x))
(.f64 x (.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))
(*.f64 (neg.f64 x) (cos.f64 x))
(.f64 (neg.f64 x) (.f64 x x))

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

eval94.0ms (1.5%)

Memory: 0.8MiB live, 259.7MiB allocated
Compiler: Compiled 21 990 to 2 714 computations (87.7% saved)

prune80.0ms (1.3%)

Memory

-26.5MiB live, 74.8MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	728	7	735
Fresh	2	20	22
Picked	3	2	5
Done	0	3	3
Total	733	32	765

Accuracy

100.0%

Counts

765 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.4%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
	14.9%	(/.f64 (fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	15.0%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	43.6%	(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
	1.8%	(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
▶	52.6%	(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	54.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	54.7%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
	2.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
	15.0%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.9%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.8%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
	1.8%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	52.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
▶	26.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	14.8%	(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	44.4%	(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) x (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	43.7%	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
	14.8%	(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	54.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	52.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
▶	77.1%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
✓	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
	54.1%	(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
	49.8%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
✓	47.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 133 to 677 computations (40.2% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

series14.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

37 → 79

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) (neg.f64 x))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(cos.f64 x)
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
(pow x 2)
(* 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))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ -1 x)
(* -1 (pow x 2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(pow x 3)
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* x (+ 1 (* -1 (cos x))))
(* -1 (* x (cos x)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(+ 1 (* -1 (cos x)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(* -1 (* x (- (cos x) 1)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (- (cos x) 1))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) x 2 (* x x) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (+ (* (/ -1 x) (* (neg x) x)) (* (cos x) (neg x))) (* (neg x) (* (neg x) x))) (+ (* (/ -1 x) (* (neg x) x)) (* (cos x) (neg x))) (/ -1 x) -1 (* (neg x) x) (neg x) (* (cos x) (neg x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (* (neg x) (* (neg x) x)) (/ (/ (+ (* 1 x) (* (cos x) (neg x))) x) (* x x)) (/ (+ (* 1 x) (* (cos x) (neg x))) x) (+ (* 1 x) (* (cos x) (neg x))) (* (cos x) (neg x)) (cos x) (/ (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (* x x))) (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* x x) (cos x)) (* (* (neg x) x) (* x x)))

5.0ms

inf

((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) x 2 (* x x) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (+ (* (/ -1 x) (* (neg x) x)) (* (cos x) (neg x))) (* (neg x) (* (neg x) x))) (+ (* (/ -1 x) (* (neg x) x)) (* (cos x) (neg x))) (/ -1 x) -1 (* (neg x) x) (neg x) (* (cos x) (neg x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (* (neg x) (* (neg x) x)) (/ (/ (+ (* 1 x) (* (cos x) (neg x))) x) (* x x)) (/ (+ (* 1 x) (* (cos x) (neg x))) x) (+ (* 1 x) (* (cos x) (neg x))) (* (cos x) (neg x)) (cos x) (/ (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (* x x))) (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* x x) (cos x)) (* (* (neg x) x) (* x x)))

2.0ms

((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) x 2 (* x x) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (+ (* (/ -1 x) (* (neg x) x)) (* (cos x) (neg x))) (* (neg x) (* (neg x) x))) (+ (* (/ -1 x) (* (neg x) x)) (* (cos x) (neg x))) (/ -1 x) -1 (* (neg x) x) (neg x) (* (cos x) (neg x)) (cos x) (+ (* (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* x x)) 1) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 -1/2 (* (neg x) (* (neg x) x)) (/ (/ (+ (* 1 x) (* (cos x) (neg x))) x) (* x x)) (/ (+ (* 1 x) (* (cos x) (neg x))) x) (+ (* 1 x) (* (cos x) (neg x))) (* (cos x) (neg x)) (cos x) (/ (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (* x x))) (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* x x) (cos x)) (* (* (neg x) x) (* x x)))

simplify154.0ms (2.5%)

Memory

23.9MiB live, 110.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	792
1	487	785
2	1400	779
3	3971	778
0	8673	735

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
(pow x 2)
(* 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))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ -1 x)
(* -1 (pow x 2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(pow x 3)
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* x (+ 1 (* -1 (cos x))))
(* -1 (* x (cos x)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(+ 1 (* -1 (cos x)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(* -1 (* x (- (cos x) 1)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (- (cos x) 1))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
x
(pow x 2)
(*.f64 x x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 x))
(* -1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(* (pow x 2) (- (cos x) 1))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (cos x))
(.f64 (.f64 (cos.f64 x) x) x)
(* -1 (* x (- (cos x) 1)))
(*.f64 (neg.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (- (cos x) 1))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))

rewrite166.0ms (2.7%)

Memory

-23.4MiB live, 76.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	308
0	72	293
1	288	263
0	2219	263

Stop Event

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

Counts

37 → 636

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) (neg.f64 x))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(cos.f64 x)
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x)) x)
(/.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (neg.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 x x))
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x)
(/.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x)))
(/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)))
(neg.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 x) x) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(/.f64 (*.f64 x x) x)
(/.f64 x #s(literal 1 binary64))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)))
(neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (neg.f64 x))
x
#s(literal 2 binary64)
(.f64 (.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) x) (.f64 x x))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))))
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(fma.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 x (neg.f64 x)) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 x (neg.f64 x)) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) x) x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (cos.f64 x) (/.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 x) (/.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (/.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (.f64 x x) (/.f64 (cos.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (.f64 (cos.f64 x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (cos.f64 x) (/.f64 (neg.f64 x) x)) (.f64 x x)))
(.f64 x (-.f64 (.f64 (cos.f64 x) x) x))
(*.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x)))
(.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) x (.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) x))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) x) x (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 (.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 (.f64 (cos.f64 x) x) x (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) x (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (.f64 (cos.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 (.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x) (.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (cos.f64 x)) (.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x) (.f64 (neg.f64 x) x))
(fma.f64 (cos.f64 x) (.f64 x x) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (.f64 (cos.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x))
(fma.f64 x (.f64 (cos.f64 x) x) (.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 x) x) x (.f64 x x))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (.f64 (cos.f64 x) x) x (*.f64 x x))))
(-.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 (.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (cos.f64 x) x) x))
(.f64 (.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (cos.f64 x) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(.f64 (cos.f64 x) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (cos.f64 x) (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) x) x))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 x (.f64 (cos.f64 x) x))
(.f64 (.f64 (*.f64 (neg.f64 x) x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x))

eval309.0ms (5%)

Memory: 28.4MiB live, 249.8MiB allocated
Compiler: Compiled 40 055 to 4 495 computations (88.8% saved)

prune106.0ms (1.7%)

Memory

-31.2MiB live, 120.6MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 369	12	1 381
Fresh	9	13	22
Picked	4	1	5
Done	1	4	5
Total	1 383	30	1 413

Accuracy

100.0%

Counts

1 413 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.4%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
	15.2%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	52.9%	(/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
	15.0%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	52.5%	(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x))
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	52.6%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
	54.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	54.7%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
	2.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
	14.7%	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.9%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	1.8%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	1.8%	(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
	52.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
✓	26.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	14.8%	(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (fabs.f64 x)) (fabs.f64 x)))
	44.4%	(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) x (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	14.8%	(/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	43.7%	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
	52.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
	99.7%	(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))
	77.1%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
	49.8%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
✓	47.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 661 to 573 computations (65.5% saved)

regimes33.0ms (0.5%)

Memory

3.6MiB live, 47.8MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) x (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))

Calls

2 calls:

16.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
14.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes43.0ms (0.7%)

Memory

14.5MiB live, 54.8MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) x (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))

Outputs
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))

Calls

2 calls:

28.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.7%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes35.0ms (0.6%)

Memory

21.7MiB live, 68.6MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) x (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))

Calls

2 calls:

23.0ms	x
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
97.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes39.0ms (0.6%)

Memory

-24.4MiB live, 34.7MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 x x))
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) x (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (cos.f64 x) (neg.f64 x))) x) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) #s(approx (neg (cos x)) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
49.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
73.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
73.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes30.0ms (0.5%)

Memory

-42.0MiB live, 4.9MiB allocated

Accuracy

Total -0.9b remaining (-2.6%)

Threshold costs -0.9b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Calls

2 calls:

28.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
48.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
48.9%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.00030355471806221856	0.09267417729917724

Samples

6.0ms

128×

valid

Compiler

Compiled 243 to 202 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (26.8% of total)

ival-div: 1.0ms (26.8% of total)

ival-cos: 1.0ms (26.8% of total)

ival-mult: 1.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00030355471806221856	0.09267417729917724

Compiler

Compiled 235 to 186 computations (20.9% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00030355471806221856	0.09267417729917724

Compiler

Compiled 235 to 186 computations (20.9% saved)

bsearch12.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.680985310098482e+38	2.819625214512681e+39

Samples

7.0ms

96×

valid

Compiler

Compiled 191 to 148 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (59.1% of total)

ival-div: 1.0ms (19.7% of total)

ival-mult: 1.0ms (19.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.09267417729917724	138259.83229707397

Samples

10.0ms

144×

valid

Compiler

Compiled 236 to 190 computations (19.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 5.0ms (68.7% of total)

ival-sub: 1.0ms (13.7% of total)

ival-div: 1.0ms (13.7% of total)

ival-mult: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify81.0ms (1.3%)

Memory

24.6MiB live, 87.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	192
1	77	192
2	115	192
3	162	192
4	207	192
5	263	192
6	354	192
7	587	192
8	1233	192
9	2596	192
10	5069	192

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 679999999999999992247693172092463742976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 3884354678607053/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 679999999999999992247693172092463742976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 3884354678607053/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness1.2s (19.2%)

Memory

-49.6MiB live, 653.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	308
0	72	293
1	288	263
0	2219	263
0	38	254
0	66	248
1	257	225
2	1963	220
0	8160	218
0	6	19
0	10	19
1	45	19
2	321	19
0	3333	19
0	42	154
1	123	154
2	327	154
3	1154	154
4	2765	154
5	5117	154
0	8046	136

Stop Event

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

Compiler

Compiled 392 to 163 computations (58.4% saved)

preprocess55.0ms (0.9%)

Memory: 28.2MiB live, 74.4MiB allocated
Remove: (abs x)
Compiler: Compiled 422 to 136 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample2.2s (35.6%)

explain137.0ms (2.2%)

preprocess144.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series3.0ms (0%)

simplify150.0ms (2.4%)

rewrite125.0ms (2%)

eval18.0ms (0.3%)

prune16.0ms (0.3%)

simplify0.0ms (0%)

series19.0ms (0.3%)

simplify140.0ms (2.2%)

rewrite194.0ms (3.1%)

eval208.0ms (3.3%)

prune71.0ms (1.1%)

simplify0.0ms (0%)

series22.0ms (0.3%)

simplify133.0ms (2.1%)

rewrite124.0ms (2%)

eval94.0ms (1.5%)

prune80.0ms (1.3%)

simplify0.0ms (0%)

series14.0ms (0.2%)

simplify154.0ms (2.5%)

rewrite166.0ms (2.7%)

eval309.0ms (5%)

prune106.0ms (1.7%)

regimes33.0ms (0.5%)

regimes43.0ms (0.7%)

regimes35.0ms (0.6%)

regimes39.0ms (0.6%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes30.0ms (0.5%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.2%)

bsearch17.0ms (0.3%)

simplify81.0ms (1.3%)

soundness1.2s (19.2%)

preprocess55.0ms (0.9%)

end0.0ms (0%)

Profiling