Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.7s (24.8%)

Memory

54.3MiB live, 1 749.5MiB allocated

Samples

679.0ms	2 220×	2	valid
387.0ms	4 267×	0	valid
218.0ms	578×	3	valid
126.0ms	1 191×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 738.0ms (62.1% of total)

adjust: 186.0ms (15.6% of total)

ival-div: 98.0ms (8.2% of total)

ival-sub: 95.0ms (8% of total)

ival-mult: 56.0ms (4.7% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain140.0ms (2%)

Memory

-4.0MiB live, 201.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
80	0	-	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
63	2	(1.338998154722902e+161)	1	(-1.290293980365416e-157)	`(/.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	80	4
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	58	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	58
↳	`(*.f64 x x)`	underflow	58
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	6	0
↳	`(*.f64 x x)`	overflow	53

Confusion

	Predicted +	Predicted -
+	138	0
-	5	113

Precision

0.965034965034965

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	0
-	5	4	109

Precision?

0.9387755102040817

Recall?

1.0

Freqs

test

number	freq
0	113
1	142
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	130×	2	valid
23.0ms	256×	0	valid
13.0ms	38×	3	valid
10.0ms	88×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-cos: 43.0ms (64.3% of total)

ival-div: 8.0ms (12% of total)

adjust: 6.0ms (9% of total)

ival-sub: 5.0ms (7.5% of total)

ival-mult: 4.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess134.0ms (1.9%)

Memory

26.6MiB live, 136.9MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify122.0ms (1.8%)

Memory

-33.9MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	27	19
2	62	19
3	108	19
4	154	19
5	208	19
6	294	19
7	528	19
8	1173	19
9	2520	19
10	4972	19
0	8040	19

Stop Event

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

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

localize61.0ms (0.9%)

Memory

26.8MiB live, 69.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	14.505159717532779	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy	16.942368490646768	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

25.0ms	65×	2	valid
14.0ms	19×	3	valid
10.0ms	128×	0	valid
5.0ms	44×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-cos: 28.0ms (73.6% of total)

ival-div: 3.0ms (7.9% of total)

adjust: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

ival-mult: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 16

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.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 (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)))
(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)) (cos x) (* x x))
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))

simplify173.0ms (2.5%)

Memory

-24.6MiB live, 168.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 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)))
(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))
(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)

rewrite101.0ms (1.5%)

Memory

23.3MiB live, 100.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17

Stop Event

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

Counts

4 → 132

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 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)))
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(/.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))))
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(/.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))))
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(-.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))))
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(-.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))))
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(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
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(cos.f64 x)
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(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
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(*.f64 x x)
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
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(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)))
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(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)))

eval23.0ms (0.3%)

Memory: -1.9MiB live, 41.0MiB allocated
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune18.0ms (0.3%)

Memory

-5.0MiB live, 33.3MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	126	22	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	23	149

Accuracy

100.0%

Counts

149 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	76.3%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
	49.5%	(/.f64 (/.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 x x))
	29.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.8%	(/.f64 (/.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 x x))
	51.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	21.0%	(/.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)))
▶	49.8%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
	15.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
	15.2%	(/.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)))
	21.5%	(/.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))
	49.8%	(/.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))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	47.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	22.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	76.2%	(/.f64 (.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 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)))
	50.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
▶	76.9%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
▶	51.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
	52.3%	#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)))
	51.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	52.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 790 to 470 computations (40.5% saved)

simplify130.0ms (1.9%)

Memory

-8.8MiB live, 117.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	1	(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
cost-diff	3	(/.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)))
cost-diff	1	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
cost-diff	1	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
cost-diff	4	(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
cost-diff	4	(*.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff	0	(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)))
cost-diff	0	(.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))))
cost-diff	0	(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))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	2	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	68	244
1	137	240
2	407	221
3	1790	215
4	5869	215
0	8330	213

Stop Event

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

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

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

localize253.0ms (3.7%)

Memory

31.6MiB live, 345.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
accuracy	0.24447250976844204	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.3531217753606373	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	14.489534717532779	(/.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)))
accuracy	0.15625	(/.f64 (cos.f64 x) x)
accuracy	0.21875	(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
accuracy	14.505159717532779	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
accuracy	16.942368490646768	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
accuracy	0.171875	(.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))))
accuracy	0.25	(*.f64 #s(literal 1/720 binary64) x)
accuracy	13.513564101122073	(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)))
accuracy	30.82520407007277	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
accuracy	30.3129168411017	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.1171875	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.171875	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy	0.3531217753606373	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	13.987848816847851	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Samples

90.0ms	67×	2	valid
74.0ms	128×	0	valid
27.0ms	42×	1	valid
26.0ms	19×	3	valid

Compiler

Compiled 244 to 42 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 57.0ms (30.6% of total)

ival-add: 31.0ms (16.7% of total)

ival-cos: 25.0ms (13.4% of total)

ival-div: 18.0ms (9.7% of total)

adjust: 14.0ms (7.5% of total)

const: 11.0ms (5.9% of total)

ival-sin: 11.0ms (5.9% of total)

ival-pow: 7.0ms (3.8% of total)

ival-sub: 5.0ms (2.7% of total)

ival-pow2: 4.0ms (2.1% of total)

ival-neg: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series33.0ms (0.5%)

Memory

-11.4MiB live, 24.2MiB allocated

Counts

20 → 76

Calls

Call 1

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

Outputs
(/ 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 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))))
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))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
-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)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
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)))
(* 1/720 x)
(/ 1 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))) x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(+ 1 (cos x))
(/ (cos x) x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (/ -1 x) x) (* (neg x) (/ (cos x) x)) (/ (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (* (neg x) x)) (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x) (/ (cos x) x))
5.0ms	x	@	-inf	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (/ -1 x) x) (* (neg x) (/ (cos x) x)) (/ (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (* (neg x) x)) (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x) (/ (cos x) x))
3.0ms	x	@	0	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (/ -1 x) x) (* (neg x) (/ (cos x) x)) (/ (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (* (neg x) x)) (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x) (/ (cos x) x))

Time

Variable

Point

Expression

6.0ms

inf

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (/ -1 x) x) (* (neg x) (/ (cos x) x)) (/ (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (* (neg x) x)) (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x) (/ (cos x) x))

5.0ms

-inf

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (/ -1 x) x) (* (neg x) (/ (cos x) x)) (/ (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (* (neg x) x)) (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x) (/ (cos x) x))

3.0ms

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (/ -1 x) x) (* (neg x) (/ (cos x) x)) (/ (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (* (neg x) x)) (- (* (/ -1 x) x) (* (neg x) (/ (cos x) x))) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x) (/ (cos x) x))

simplify131.0ms (1.9%)

Memory

0.8MiB live, 155.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	817
1	554	815
2	1635	798
3	4666	796
0	8115	755

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

Calls

Call 1

Inputs
(/ 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 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))))
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))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
-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)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
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)))
(* 1/720 x)
(/ 1 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))) x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(+ 1 (cos x))
(/ (cos x) x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))

Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #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 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 (.f64 x x) #s(literal 1/24 binary64)) #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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
1/2
#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) (- (* 1/720 (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)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x)
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(.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))) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(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)))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #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 x x) #s(literal 1/2 binary64)) #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 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (- (* (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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x))
(* (pow x 2) (- (* (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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x))
(* -2 (pow x 2))
(.f64 (.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(.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 2 binary64))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(.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 2 binary64))) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/315 binary64) (.f64 x x)) #s(literal 2/45 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x 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 (.f64 x x) #s(literal 1/24 binary64)) #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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) 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)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/40320 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (+ 1 (* -1 (cos x))))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* -1 (pow (sin x) 2))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 5 binary64)))

rewrite207.0ms (3%)

Memory

-21.9MiB live, 207.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	195
0	68	186
1	239	168
2	1671	160
0	8863	157

Stop Event

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

Counts

20 → 973

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) x x)))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x))) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 (neg.f64 x) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) x)
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 (cos.f64 x) x x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x)))
(/.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(*.f64 (/.f64 x (/.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 x (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (cos.f64 x) x) (.f64 (cos.f64 x) x)) (.f64 x (.f64 (cos.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) x) (.f64 (cos.f64 x) x) (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (neg.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (neg.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 x (cos.f64 x)) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x (cos.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (cos.f64 x)))
(fma.f64 (cos.f64 x) x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (cos.f64 x)))
(fma.f64 x (cos.f64 x) x)
(+.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 (*.f64 x (cos.f64 x)) x)
(+.f64 x (*.f64 (cos.f64 x) x))
(+.f64 x (*.f64 x (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.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))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (neg.f64 x) x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 x) x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (cos.f64 x) x x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.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))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)))
(*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal -1 binary64)) (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (/.f64 (fma.f64 (.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
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(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 x) (+.f64 x (PI.f64)))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (cos.f64 (-.f64 x x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.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) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 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))) (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)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #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 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) x)
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) x) (/.f64 (cos.f64 x) x))

eval133.0ms (1.9%)

Memory: 83.1MiB live, 236.8MiB allocated
Compiler: Compiled 22 243 to 2 881 computations (87% saved)

prune93.0ms (1.3%)

Memory

-78.1MiB live, 60.1MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	739	16	755
Fresh	13	4	17
Picked	4	1	5
Done	0	1	1
Total	756	22	778

Accuracy

100.0%

Counts

778 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	49.7%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
	49.7%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	50.2%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
	11.2%	(/.f64 (fma.f64 (neg.f64 x) (.f64 (neg.f64 x) x) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) x) x))) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)))
	29.4%	(/.f64 (/.f64 (fma.f64 (.f64 x (cos.f64 x)) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
▶	29.6%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
▶	49.8%	(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
	29.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	41.1%	(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x (*.f64 (neg.f64 x) x)))
	49.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	22.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	77.2%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
	77.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	53.1%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	51.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
▶	51.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
	52.3%	#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)))
✓	52.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 708 to 432 computations (39% saved)

simplify191.0ms (2.8%)

Memory

20.0MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	1	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
cost-diff	2	(fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x))))
cost-diff	8	(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 x (cos.f64 x) (neg.f64 x))
cost-diff	1	(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
cost-diff	4	(/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
cost-diff	0	(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
cost-diff	0	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
cost-diff	3	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	262
0	72	246
1	142	238
2	387	234
3	2260	218
4	6848	218
0	8335	210

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 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)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
x
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
x
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x)
(fma.f64 x (cos.f64 x) (neg.f64 x))
x
(cos.f64 x)
(neg.f64 x)
(*.f64 (neg.f64 x) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x))))
(neg.f64 x)
x
(.f64 x (.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(*.f64 (neg.f64 x) x)

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

localize297.0ms (4.3%)

Memory

10.1MiB live, 411.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(*.f64 x (cos.f64 x))
accuracy	14.505159717532779	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
accuracy	23.18433717647721	(fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x))))
accuracy	36.21771861689907	(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
accuracy	0.0	(cos.f64 x)
accuracy	5.6180069408744115	(/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x)
accuracy	11.30262216466552	(fma.f64 x (cos.f64 x) (neg.f64 x))
accuracy	14.505159717532779	(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(sin.f64 x)
accuracy	0.171875	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	29.971832080973062	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.01171875	(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
accuracy	0.171875	(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
accuracy	30.482314023422184	#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
accuracy	30.82520407007277	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
accuracy	0.0078125	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.07421875	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
accuracy	0.15625	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
accuracy	0.166347509768442	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))

Samples

134.0ms	128×	0	valid
67.0ms	64×	2	valid
30.0ms	45×	1	valid
28.0ms	19×	3	valid

Compiler

Compiled 236 to 45 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-mult: 72.0ms (31.4% of total)

ival-tan: 49.0ms (21.4% of total)

ival-cos: 25.0ms (10.9% of total)

ival-div: 24.0ms (10.5% of total)

ival-add: 16.0ms (7% of total)

adjust: 15.0ms (6.5% of total)

const: 15.0ms (6.5% of total)

ival-sin: 5.0ms (2.2% of total)

ival-sub: 3.0ms (1.3% of total)

ival-pow: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series27.0ms (0.4%)

Memory

1.8MiB live, 43.3MiB allocated

Counts

21 → 77

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x)
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(fma.f64 x (cos.f64 x) (neg.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x))))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
(neg.f64 x)
(*.f64 x (cos.f64 x))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
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)))))))
(* 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))))))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (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)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 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))
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 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 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))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (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)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(- (cos x) 1)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* x (- (cos x) 1))
(cos x)
(* (pow x 2) (- (cos x) 1))
(* x (cos x))
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (+ 1 (* -1 (cos x))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

inf

((* (/ (tan (/ x 2)) x) (sin x)) (/ (* (/ (tan (/ x 2)) x) (sin x)) x) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (+ (* x (cos x)) (neg x)) x) (/ (/ (+ (* x (cos x)) (neg x)) x) (* (neg x) x)) (+ (* x (cos x)) (neg x)) (cos x) (/ (+ (* (neg x) x) (* x (* x (cos x)))) (* x x)) (+ (* (neg x) x) (* x (* x (cos x)))) (/ (/ (+ (* (neg x) x) (* x (* x (cos x)))) (* x x)) (* (neg x) x)) (neg x) (* x (cos x)))

7.0ms

-inf

((* (/ (tan (/ x 2)) x) (sin x)) (/ (* (/ (tan (/ x 2)) x) (sin x)) x) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (+ (* x (cos x)) (neg x)) x) (/ (/ (+ (* x (cos x)) (neg x)) x) (* (neg x) x)) (+ (* x (cos x)) (neg x)) (cos x) (/ (+ (* (neg x) x) (* x (* x (cos x)))) (* x x)) (+ (* (neg x) x) (* x (* x (cos x)))) (/ (/ (+ (* (neg x) x) (* x (* x (cos x)))) (* x x)) (* (neg x) x)) (neg x) (* x (cos x)))

2.0ms

((* (/ (tan (/ x 2)) x) (sin x)) (/ (* (/ (tan (/ x 2)) x) (sin x)) x) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (+ (* x (cos x)) (neg x)) x) (/ (/ (+ (* x (cos x)) (neg x)) x) (* (neg x) x)) (+ (* x (cos x)) (neg x)) (cos x) (/ (+ (* (neg x) x) (* x (* x (cos x)))) (* x x)) (+ (* (neg x) x) (* x (* x (cos x)))) (/ (/ (+ (* (neg x) x) (* x (* x (cos x)))) (* x x)) (* (neg x) x)) (neg x) (* x (cos x)))

simplify147.0ms (2.1%)

Memory

-11.7MiB live, 219.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	860
1	500	844
2	1370	839
3	4540	838
0	8137	792

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 76

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
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)))))))
(* 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))))))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (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)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 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))
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 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 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))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (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)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(- (cos x) 1)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* x (- (cos x) 1))
(cos x)
(* (pow x 2) (- (cos x) 1))
(* x (cos x))
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (+ 1 (* -1 (cos x))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
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 (.f64 x x) #s(literal 1/720 binary64)) #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 (.f64 x x) #s(literal 1/720 binary64)) #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))
(* 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)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x)
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 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)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (- (* (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))) (.f64 x x))
(* (pow x 2) (- (* (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))) (.f64 x x))
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.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))))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 3 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
#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 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 x)
(neg.f64 x)
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (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))) x)
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (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)) (* 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)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/40320 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ (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))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(cos x)
(cos.f64 x)
(* (pow x 2) (- (cos x) 1))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (+ 1 (* -1 (cos x))))
(+.f64 #s(literal -1 binary64) (cos.f64 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)

rewrite189.0ms (2.7%)

Memory

16.6MiB live, 218.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	227
0	72	215
1	262	197
2	1778	197
0	9007	189

Stop Event

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

Counts

21 → 1 025

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x)
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(fma.f64 x (cos.f64 x) (neg.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x))))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
(neg.f64 x)
(*.f64 x (cos.f64 x))

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

eval89.0ms (1.3%)

Memory: -23.8MiB live, 140.6MiB allocated
Compiler: Compiled 18 521 to 2 468 computations (86.7% saved)

prune37.0ms (0.5%)

Memory

-11.6MiB live, 76.2MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	766	14	780
Fresh	4	11	15
Picked	0	5	5
Done	0	2	2
Total	770	32	802

Accuracy

100.0%

Counts

802 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	49.9%	(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 x x) (.f64 x x)))
	49.7%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	50.2%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
▶	50.0%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
	29.6%	(/.f64 (fma.f64 (.f64 x x) (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
	11.2%	(/.f64 (fma.f64 (neg.f64 x) (.f64 (neg.f64 x) x) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) x) x))) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)))
	20.1%	(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) x) (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
▶	29.4%	(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
✓	29.6%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
	2.8%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 x x)) (*.f64 (neg.f64 x) x))
	3.1%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 (neg.f64 x) x))
✓	49.8%	(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
	2.8%	(/.f64 (/.f64 (fma.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
	29.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	51.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	29.5%	(/.f64 (/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 x x)) (*.f64 (neg.f64 x) x))
	49.8%	(/.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 x x)) x)
	50.9%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
	41.1%	(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x (*.f64 (neg.f64 x) x)))
	49.8%	(/.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)))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	22.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	50.1%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
▶	77.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	49.7%	(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))
✓	53.1%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	51.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
✓	51.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
	52.3%	#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)))
✓	52.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 998 to 570 computations (42.9% saved)

simplify81.0ms (1.2%)

Memory

36.3MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	1	(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
cost-diff	2	(fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x))
cost-diff	8	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (*.f64 x x))
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	1	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
cost-diff	2	(/.f64 x (*.f64 x x))
cost-diff	5	(fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	186
0	50	163
1	113	156
2	404	150
3	2333	146
4	6858	146
0	8086	146

Stop Event

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

Calls

Call 1

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

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

localize250.0ms (3.6%)

Memory

-21.1MiB live, 223.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(*.f64 (cos.f64 x) x)
accuracy	14.505159717532779	(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
accuracy	15.510916061997706	(fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x))
accuracy	36.21771861689907	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (*.f64 x x))
accuracy	0.1171875	(*.f64 (cos.f64 x) x)
accuracy	14.505159717532779	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
accuracy	26.041423103377593	(/.f64 x (*.f64 x x))
accuracy	31.428608411997402	(fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64))
accuracy	0.0	(cos.f64 x)
accuracy	0.07421875	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	13.698868671831407	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	16.942368490646768	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.0	(*.f64 x x)
accuracy	14.505159717532779	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	16.942368490646768	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	27.96083784146596	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 x)
accuracy	0.0078125	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.181972509768442	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	13.974644575773878	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

72.0ms	128×	0	valid
50.0ms	65×	2	valid
42.0ms	44×	1	valid
30.0ms	19×	3	valid

Compiler

Compiled 187 to 28 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-div: 49.0ms (30.1% of total)

ival-tan: 47.0ms (28.9% of total)

ival-cos: 29.0ms (17.8% of total)

ival-mult: 15.0ms (9.2% of total)

adjust: 9.0ms (5.5% of total)

ival-sin: 6.0ms (3.7% of total)

ival-add: 4.0ms (2.5% of total)

ival-sub: 3.0ms (1.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

19 → 51

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
(*.f64 x 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(approx (cos x) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64))
(/.f64 x (*.f64 x x))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (cos.f64 x) x)
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (*.f64 x x))
(fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
(tan.f64 (/.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)))
(/ 1 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))) x)
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))))
(pow x 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))))
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 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 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) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* 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))))
(* -1/2 (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))
(* 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))))))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) x)
(- (cos x) 1)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* x (cos x))
(* (pow x 2) (- (cos x) 1))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify183.0ms (2.7%)

Memory

-21.6MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	561
1	375	561
2	1065	549
3	4352	549
0	8203	511

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

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

rewrite222.0ms (3.2%)

Memory

7.6MiB live, 325.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	50	131
1	187	112
2	1360	102
0	8656	102

Stop Event

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

Counts

19 → 2 046

Calls

Call 1

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

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

eval254.0ms (3.7%)

Memory: 2.5MiB live, 298.0MiB allocated
Compiler: Compiled 27 137 to 3 668 computations (86.5% saved)

prune103.0ms (1.5%)

Memory

-17.4MiB live, 94.5MiB allocated

Pruning

36 alts after pruning (25 fresh and 11 done)

	Pruned	Kept	Total
New	1 136	13	1 149
Fresh	8	12	20
Picked	1	4	5
Done	0	7	7
Total	1 145	36	1 181

Accuracy

100.0%

Counts

1 181 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 x x) (.f64 x x)))
	50.2%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	50.0%	(/.f64 (fma.f64 (.f64 (.f64 x (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
	50.3%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
	11.2%	(/.f64 (fma.f64 (neg.f64 x) (.f64 (neg.f64 x) x) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) x) x))) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)))
	20.1%	(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (.f64 (neg.f64 x) x) (.f64 x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 x (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
✓	29.4%	(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
✓	29.6%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
	2.8%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 x x)) (*.f64 (neg.f64 x) x))
	3.1%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 (neg.f64 x) x))
✓	49.8%	(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
	2.8%	(/.f64 (/.f64 (fma.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
	20.1%	(/.f64 (/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 x) (.f64 x x))) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 x) x) x)) (*.f64 (neg.f64 x) x))
	29.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
✓	51.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	29.5%	(/.f64 (/.f64 (.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) x) (.f64 x x)) (*.f64 (neg.f64 x) x))
	49.8%	(/.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 x x)) x)
	50.4%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x)
	50.9%	(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
	2.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
	3.1%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
	41.1%	(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x (*.f64 (neg.f64 x) x)))
	23.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	22.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	99.7%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x (cos.f64 (/.f64 x #s(literal -2 binary64)))))
	50.1%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
✓	77.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	49.7%	(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))
	51.0%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) x) x))
✓	53.1%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	51.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
✓	51.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
	52.3%	#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)))
✓	52.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 834 to 663 computations (63.8% saved)

regimes62.0ms (0.9%)

Memory

1.6MiB live, 50.0MiB allocated

Counts

66 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
(/.f64 (/.f64 (fma.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) 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) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 x 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)
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) x) x))
(/.f64 (/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (fma.f64 (cos.f64 x) x (neg.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 #s(literal 1 binary64) x) (.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 (.f64 x x) (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (.f64 x (cos.f64 x)) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) 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 #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 (/.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 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 x) (.f64 x x))) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 x) (.f64 (neg.f64 x) x) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) x) x))) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (.f64 (neg.f64 x) x) (.f64 x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 x (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) x) (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.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 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 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 2 binary64))) x) (sin.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) (cos.f64 x)) (exp.f64 (*.f64 (log.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 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(/.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 (/.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 x x))
(/.f64 (.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 x x))
(/.f64 (/.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 x x))

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

Calls

2 calls:

43.0ms	x
16.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes68.0ms (1%)

Memory

-4.8MiB live, 32.6MiB allocated

Counts

52 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
(/.f64 (/.f64 (fma.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) 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) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 x 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)
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) x) x))
(/.f64 (/.f64 (.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (fma.f64 (cos.f64 x) x (neg.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 #s(literal 1 binary64) x) (.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 (.f64 x x) (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (.f64 x (cos.f64 x)) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 x x)) (.f64 (neg.f64 x) 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 #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 (/.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 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x) (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 x) (.f64 x x))) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 x) (.f64 (neg.f64 x) x) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (.f64 (/.f64 (cos.f64 x) x) x))) (.f64 (.f64 x (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (.f64 (neg.f64 x) x) (.f64 x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 x (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) x) (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.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 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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)))

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

Calls

2 calls:

52.0ms	x
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

14 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
(/.f64 (/.f64 (fma.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) 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) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 x 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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

13 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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)))
(/.f64 (/.f64 (fma.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) 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) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 x 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) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
73.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #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)))

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

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

2.0ms

Results

Accuracy	Segments	Branch
72.8%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

Counts

3 → 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)))

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch41.0ms (0.6%)

Memory

-26.5MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.018089856820344512	223.0801899911857

Samples

6.0ms

128×

valid

Compiler

Compiled 307 to 218 computations (29% saved)

Precisions

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

ival-cos: 2.0ms (50.1% of total)

ival-sub: 1.0ms (25% of total)

ival-div: 1.0ms (25% of total)

ival-mult: 1.0ms (25% 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

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018089856820344512	223.0801899911857

Compiler

Compiled 307 to 218 computations (29% saved)

bsearch16.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.613964562247764e+33	3.34144483420005e+36

Samples

10.0ms

128×

valid

Compiler

Compiled 283 to 210 computations (25.8% saved)

Precisions

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

ival-cos: 5.0ms (70.4% of total)

ival-sub: 1.0ms (14.1% of total)

ival-div: 1.0ms (14.1% of total)

ival-mult: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Memory

-17.2MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.9809548085422167e+37	2.6012375799485716e+39

Samples

23.0ms

112×

valid

Compiler

Compiled 221 to 171 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 15.0ms (71.9% of total)

ival-cos: 4.0ms (19.2% of total)

ival-div: 1.0ms (4.8% of total)

ival-mult: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.018089856820344512	223.0801899911857

Samples

8.0ms

112×

valid

Compiler

Compiled 211 to 170 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 4.0ms (70.5% of total)

ival-sub: 1.0ms (17.6% of total)

ival-div: 1.0ms (17.6% of total)

ival-mult: 1.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify109.0ms (1.6%)

Memory

-2.4MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	204
1	81	204
2	130	204
3	185	204
4	231	204
5	287	204
6	378	204
7	611	204
8	1257	204
9	2612	204
10	5098	204

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(if (<=.f64 x #s(literal 3530822107858469/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3530822107858469/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 120000000000000007304085773727301632 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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 719999999999999938456712493334850961408 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 7656119366529843/2251799813685248 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 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(if (<=.f64 x #s(literal 3530822107858469/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3530822107858469/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 120000000000000007304085773727301632 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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 719999999999999938456712493334850961408 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 7656119366529843/2251799813685248 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))

soundness930.0ms (13.5%)

Memory

-26.8MiB live, 459.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17
0	40	195
0	68	186
1	239	168
2	1671	160
0	8863	157
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135
0	27	145
0	50	131
1	187	112
2	1360	102
0	8656	102

Stop Event

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

Compiler

Compiled 344 to 150 computations (56.4% saved)

preprocess53.0ms (0.8%)

Memory: 16.1MiB live, 54.7MiB allocated
Remove: (abs x)
Compiler: Compiled 446 to 140 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (24.8%)

explain140.0ms (2%)

preprocess134.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify122.0ms (1.8%)

localize61.0ms (0.9%)

series3.0ms (0%)

simplify173.0ms (2.5%)

rewrite101.0ms (1.5%)

eval23.0ms (0.3%)

prune18.0ms (0.3%)

simplify130.0ms (1.9%)

localize253.0ms (3.7%)

series33.0ms (0.5%)

simplify131.0ms (1.9%)

rewrite207.0ms (3%)

eval133.0ms (1.9%)

prune93.0ms (1.3%)

simplify191.0ms (2.8%)

localize297.0ms (4.3%)

series27.0ms (0.4%)

simplify147.0ms (2.1%)

rewrite189.0ms (2.7%)

eval89.0ms (1.3%)

prune37.0ms (0.5%)

simplify81.0ms (1.2%)

localize250.0ms (3.6%)

series9.0ms (0.1%)

simplify183.0ms (2.7%)

rewrite222.0ms (3.2%)

eval254.0ms (3.7%)

prune103.0ms (1.5%)

regimes62.0ms (0.9%)

regimes68.0ms (1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch41.0ms (0.6%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch29.0ms (0.4%)

bsearch14.0ms (0.2%)

simplify109.0ms (1.6%)

soundness930.0ms (13.5%)

preprocess53.0ms (0.8%)

end0.0ms (0%)

Profiling