Metrics for tanhf (example 3.4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze115.0ms (1.8%)

Memory

23.6MiB live, 140.5MiB 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
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.0s (30.6%)

Memory

31.8MiB live, 1 754.6MiB allocated

Samples

772.0ms	2 270×	2	valid
470.0ms	4 233×	0	valid
237.0ms	579×	3	valid
131.0ms	1 170×	1	valid
5.0ms	4×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-cos: 830.0ms (60.7% of total)

ival-sin: 190.0ms (13.9% of total)

ival-div: 139.0ms (10.2% of total)

adjust: 106.0ms (7.7% of total)

ival-sub: 88.0ms (6.4% of total)

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

exact: 6.0ms (0.4% of total)

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

Bogosity

explain197.0ms (3.1%)

Memory

24.7MiB live, 147.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
70	64	(7.659092672555015e-258)	1	(-1.1544346611305488e-156)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
65	0	-	65	(4.5119761394062954e-223)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	133	8

Confusion

	Predicted +	Predicted -
+	133	1
-	0	122

Precision

1.0

Recall

0.9925373134328358

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	1
-	0	8	114

Precision?

0.9432624113475178

Recall?

0.9925373134328358

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	140×	2	valid
28.0ms	256×	0	valid
14.0ms	46×	3	valid
8.0ms	70×	1	valid

Compiler

Compiled 79 to 37 computations (53.2% saved)

Precisions

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

ival-cos: 39.0ms (53.5% of total)

ival-sin: 12.0ms (16.5% of total)

adjust: 7.0ms (9.6% of total)

ival-sub: 7.0ms (9.6% of total)

ival-div: 6.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess54.0ms (0.8%)

Memory

-9.0MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% 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
▶	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify47.0ms (0.7%)

Memory

-20.2MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	6592	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.9%)

Memory

-4.8MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(cos.f64 x)
accuracy	15.088882923055133	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy	15.51066560296875	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

20.0ms	128×	0	valid
19.0ms	70×	2	valid
7.0ms	23×	3	valid
5.0ms	35×	1	valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 20.0ms (48.9% of total)

ival-sin: 11.0ms (26.9% of total)

ival-div: 3.0ms (7.3% of total)

adjust: 3.0ms (7.3% of total)

ival-sub: 3.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

4 → 20

Calls

Call 1

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

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

Calls

3 calls:

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

simplify244.0ms (3.8%)

Memory

11.8MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	202
1	224	202
2	555	196
3	1661	196
4	3000	196
5	4247	196
6	4597	196
7	5328	196
8	6820	196
0	8376	172

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

rewrite425.0ms (6.6%)

Memory

24.1MiB live, 219.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	12
1	39	12
2	245	12
3	2355	11
0	8885	11

Stop Event

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

Counts

4 → 615

Calls

Call 1

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

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

eval115.0ms (1.8%)

Memory: -20.8MiB live, 97.9MiB allocated
Compiler: Compiled 13 034 to 1 647 computations (87.4% saved)

prune21.0ms (0.3%)

Memory

-3.2MiB live, 34.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	627	7	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	628	7	635

Accuracy

100.0%

Counts

635 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
	99.8%	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
▶	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	51.9%	#s(approx (/ (- 1 (cos x)) (sin 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))
▶	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶	52.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 150 to 122 computations (18.7% saved)

simplify37.0ms (0.6%)

Memory

1.5MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	6464	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin 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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	124
0	34	113
1	59	113
2	92	113
3	156	113
4	255	113
5	285	113
6	321	113
7	395	113
8	517	113
9	725	113
10	767	113
11	770	113
12	778	113
13	783	113
14	787	113
15	794	113
16	874	113
17	961	113
18	965	113
0	965	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin 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))
(.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)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)

Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin 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))
(.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)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)

localize151.0ms (2.3%)

Memory

2.1MiB live, 122.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
accuracy	0.02734375	(.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)
accuracy	0.04296875	(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))
accuracy	0.5016920468768784	(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	30.7989739539582	#s(approx (/ (- 1 (cos x)) (sin 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))
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.5030415440149019	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	30.8059253150691	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.670335804947612	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))

Samples

41.0ms	70×	2	valid
39.0ms	128×	0	valid
14.0ms	23×	3	valid
12.0ms	35×	1	valid

Compiler

Compiled 230 to 47 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-cos: 22.0ms (25.6% of total)

ival-mult: 14.0ms (16.3% of total)

adjust: 10.0ms (11.7% of total)

ival-div: 9.0ms (10.5% of total)

const: 9.0ms (10.5% of total)

ival-tan: 6.0ms (7% of total)

ival-add: 5.0ms (5.8% of total)

ival-sin: 5.0ms (5.8% of total)

ival-sub: 4.0ms (4.7% of total)

ival-pow: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

12 → 25

Calls

Call 1

Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin 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))
(.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)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (pow 1 -1/2))
2.0ms	x	@	-inf	((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (pow 1 -1/2))
2.0ms	x	@	0	((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (pow 1 -1/2))

Time

Variable

Point

Expression

2.0ms

inf

((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (pow 1 -1/2))

2.0ms

-inf

((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (pow 1 -1/2))

2.0ms

((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (pow 1 -1/2))

simplify229.0ms (3.5%)

Memory

-6.4MiB live, 151.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	206
1	188	206
2	480	206
3	1159	206
4	2301	206
5	5530	206
0	8283	185

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))

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) (+ 1/24 (* 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)
1/2
#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))
(pow x 2)
(*.f64 x x)
(+ 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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(/ (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)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/240 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (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)
(* 1/240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (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))
(* 1/240 (pow x 2))
(.f64 #s(literal 1/240 binary64) (.f64 x x))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.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)

rewrite188.0ms (2.9%)

Memory

-4.8MiB live, 225.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	34	94
1	126	94
2	766	94
3	7651	94
0	8234	94

Stop Event

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

Counts

12 → 510

Calls

Call 1

Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin 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))
(.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)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) (+.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 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))))
(.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))))
(.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (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 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (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 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5760 binary64) #s(literal 1/576 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5760 binary64) #s(literal 1/576 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5760 binary64) (.f64 x x) #s(literal 1/576 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/57600 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/240 binary64) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal 1/57600 binary64) (.f64 x x)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/57600 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal 1/240 binary64) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/240 binary64)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/240 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 x x)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/240 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (*.f64 x x)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(+.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (.f64 x x)))
#s(literal 1 binary64)

eval75.0ms (1.2%)

Memory: 17.0MiB live, 137.9MiB allocated
Compiler: Compiled 15 892 to 1 968 computations (87.6% saved)

prune17.0ms (0.3%)

Memory

16.4MiB live, 51.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	552	5	557
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	555	9	564

Accuracy

100.0%

Counts

564 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
▶	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin 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))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
▶	99.8%	#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
▶	7.4%	#s(literal 1 binary64)

Compiler

Compiled 180 to 137 computations (23.9% saved)

simplify44.0ms (0.7%)

Memory

-8.4MiB live, 36.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
cost-diff	0	(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
cost-diff	320	(fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/24 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
cost-diff	320	(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	167
0	49	157
1	83	153
2	128	153
3	191	153
4	304	153
5	357	153
6	393	153
7	466	153
8	586	153
9	793	153
10	835	153
11	838	153
12	846	153
13	852	153
14	856	153
15	863	153
16	943	153
17	1030	153
18	1034	153
0	1034	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x x)
x
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(*.f64 x x)
x
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize244.0ms (3.8%)

Memory

-33.2MiB live, 229.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) x))
accuracy	0	#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
accuracy	0.00390625	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.15234375	(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
accuracy	0.03125	(fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
accuracy	0.23046875	(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	0.5016920468768784	(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	30.7989739539582	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0546875	(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.3671875	(*.f64 #s(literal 1/24 binary64) x)
accuracy	30.8059253150691	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0078125	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.21875	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))

Samples

121.0ms	128×	0	valid
54.0ms	70×	2	valid
29.0ms	35×	1	valid
16.0ms	23×	3	valid

Compiler

Compiled 304 to 65 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-div: 47.0ms (24.5% of total)

ival-tan: 46.0ms (24% of total)

ival-mult: 32.0ms (16.7% of total)

ival-cos: 25.0ms (13% of total)

adjust: 15.0ms (7.8% of total)

ival-sin: 10.0ms (5.2% of total)

const: 8.0ms (4.2% of total)

ival-add: 5.0ms (2.6% of total)

ival-sub: 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)

series10.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

17 → 36

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x x)
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(pow x 2)
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ (- 1 (cos x)) (sin x))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(/ (sin (* 1/2 x)) (cos (* -1/2 x)))
(sin (* 1/2 x))
(cos (* -1/2 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (tan (* x 1/2)) (* x 1/2) (+ (* (* x x) (* 1/24 x)) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* x x) (* 1/24 x) (+ (* (* (+ (* 1/240 (* x x)) 1/24) x) (* x x)) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) (tan (* 1/2 x)) (/ (sin (* 1/2 x)) (cos (* -1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* -1/2 x)))

3.0ms

-inf

((/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (tan (* x 1/2)) (* x 1/2) (+ (* (* x x) (* 1/24 x)) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* x x) (* 1/24 x) (+ (* (* (+ (* 1/240 (* x x)) 1/24) x) (* x x)) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) (tan (* 1/2 x)) (/ (sin (* 1/2 x)) (cos (* -1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* -1/2 x)))

3.0ms

((/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (tan (* x 1/2)) (* x 1/2) (+ (* (* x x) (* 1/24 x)) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* x x) (* 1/24 x) (+ (* (* (+ (* 1/240 (* x x)) 1/24) x) (* x x)) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) (tan (* 1/2 x)) (/ (sin (* 1/2 x)) (cos (* -1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* -1/2 x)))

simplify159.0ms (2.5%)

Memory

-19.7MiB live, 135.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	330
1	338	330
2	828	330
3	1864	324
4	3467	324
0	8390	290

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(pow x 2)
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ (- 1 (cos x)) (sin x))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(/ (sin (* 1/2 x)) (cos (* -1/2 x)))
(sin (* 1/2 x))
(cos (* -1/2 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))

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) (+ 1/24 (* 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)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(pow x 2)
(*.f64 x x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 x x) #s(literal 1/384 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ (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 (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/240 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (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)
(* 1/240 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/240 binary64))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(* 1/240 (pow x 2))
(.f64 #s(literal 1/240 binary64) (.f64 x x))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(/ (sin (* 1/2 x)) (cos (* -1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* -1/2 x))
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.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)

rewrite248.0ms (3.8%)

Memory

27.1MiB live, 180.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
0	49	131
1	164	127
2	971	127
0	8583	123

Stop Event

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

Counts

17 → 637

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x x)
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))

Outputs
(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))))))
(.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (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 #s(literal 1 binary64) (.f64 (sin.f64 x) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
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(/.f64 (.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/33177600 binary64))) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2641807540224000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/2641807540224 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/191102976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976000 binary64)))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/5760 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/5760 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/5760 binary64)))) (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (neg.f64 (fma.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/5760 binary64) (.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/240 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(+.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)))) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))

eval76.0ms (1.2%)

Memory: -19.8MiB live, 140.3MiB allocated
Compiler: Compiled 14 885 to 1 870 computations (87.4% saved)

prune14.0ms (0.2%)

Memory

0.9MiB live, 38.9MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	547	3	550
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	547	12	559

Accuracy

100.0%

Counts

559 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
▶	52.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
▶	52.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
▶	52.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin 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))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
✓	99.8%	#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
✓	7.4%	#s(literal 1 binary64)

Compiler

Compiled 176 to 135 computations (23.3% saved)

simplify9.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
cost-diff	0	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	200
0	41	200
1	60	200
2	87	200
3	166	200
4	277	200
5	310	200
6	315	200
0	315	200

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/15120 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/6 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/15120 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)

localize129.0ms (2%)

Memory

-17.5MiB live, 147.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.21875	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
accuracy	0.5500749182199455	(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	30.706330233226616	#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
accuracy	0.21875	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
accuracy	0.5107635644022275	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	30.649768975151527	#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
accuracy	0.21875	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
accuracy	30.412066875860646	#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 340 to 52 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 38.0ms (52.4% of total)

ival-add: 14.0ms (19.3% of total)

const: 9.0ms (12.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

13 → 35

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
1/6
(+ 1/6 (* 1/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))
1/360
(+ 1/360 (* 1/15120 (pow x 2)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/6 x)
(* x (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/360 (* 1/6 (/ 1 (pow x 2)))) (/ 2 (pow x 4))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))
(* 1/15120 (pow x 5))
(* (pow x 5) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6)))))
(* 1/15120 (pow x 4))
(* (pow x 4) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/15120 (pow x 2))
(* (pow x 2) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1/6)))
(* -1 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/15120)))
(* -1 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* 1/6 x) (/ -2 x)) (/ -2 x) (/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (+ (* 1/360 (* x x)) 1/6) (/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* (+ (* (+ (* 1/15120 (* x x)) 1/360) (* x x)) 1/6) x) (/ -2 x)) (+ (* (+ (* 1/15120 (* x x)) 1/360) (* x x)) 1/6) (+ (* 1/15120 (* x x)) 1/360))

2.0ms

-inf

((/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* 1/6 x) (/ -2 x)) (/ -2 x) (/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (+ (* 1/360 (* x x)) 1/6) (/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* (+ (* (+ (* 1/15120 (* x x)) 1/360) (* x x)) 1/6) x) (/ -2 x)) (+ (* (+ (* 1/15120 (* x x)) 1/360) (* x x)) 1/6) (+ (* 1/15120 (* x x)) 1/360))

2.0ms

((/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* 1/6 x) (/ -2 x)) (/ -2 x) (/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (+ (* 1/360 (* x x)) 1/6) (/ -1 (/ -1 (tan (* x 1/2)))) (/ -1 (tan (* x 1/2))) (+ (* (+ (* (+ (* 1/15120 (* x x)) 1/360) (* x x)) 1/6) x) (/ -2 x)) (+ (* (+ (* 1/15120 (* x x)) 1/360) (* x x)) 1/6) (+ (* 1/15120 (* x x)) 1/360))

simplify121.0ms (1.9%)

Memory

23.5MiB live, 175.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	360
1	308	360
2	885	358
3	2462	344
4	5699	344
0	8242	316

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
1/6
(+ 1/6 (* 1/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))
1/360
(+ 1/360 (* 1/15120 (pow x 2)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/6 x)
(* x (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/360 (* 1/6 (/ 1 (pow x 2)))) (/ 2 (pow x 4))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))
(* 1/15120 (pow x 5))
(* (pow x 5) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6)))))
(* 1/15120 (pow x 4))
(* (pow x 4) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/15120 (pow x 2))
(* (pow x 2) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1/6)))
(* -1 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/15120)))
(* -1 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))

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) (+ 1/24 (* 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)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/15120 (pow x 2)))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(/ (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 (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (- 1/6 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(* 1/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* (pow x 3) (- (+ 1/360 (* 1/6 (/ 1 (pow x 2)))) (/ 2 (pow x 4))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/15120 binary64))
(* (pow x 5) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/15120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/15120 binary64)) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6)))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/15120 binary64)) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/15120 binary64))
(* (pow x 4) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x)
(* (pow x 4) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* 1/15120 (pow x 2))
(.f64 #s(literal 1/15120 binary64) (.f64 x x))
(* (pow x 2) (+ 1/15120 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1/6)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(* -1 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/360 (* 1/6 (/ 1 (pow x 2)))))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/15120)))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/15120 binary64)) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/15120 (+ (/ 1/6 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/15120 binary64)) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))

rewrite215.0ms (3.3%)

Memory

-7.0MiB live, 154.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	173
0	41	173
1	169	173
2	1148	173
0	8339	173

Stop Event

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

Counts

13 → 394

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))

Outputs
(.f64 (pow.f64 (neg.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))))
(.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (neg.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(neg.f64 (pow.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ -1 (tan ( x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))))
#s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(/.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))))
(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1/6 binary64) x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 x x) #s(literal -1/3 binary64)))))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (/.f64 x x) #s(literal -1/3 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 x x) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 x x)))) (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 (/.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 (/.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 #s(literal -1/36 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 (/.f64 x x) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))))
(fma.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64))) (.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))) (.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/15120 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/5443200 binary64))))))
(/.f64 (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)))
(/.f64 (fma.f64 #s(literal 1/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/129600 binary64) (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/5443200 binary64)))))
(/.f64 (fma.f64 #s(literal 1/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/5443200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/15120 binary64) (.f64 x x))) (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/129600 binary64) (fma.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/5443200 binary64)))) (fma.f64 #s(literal 1/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 #s(literal 1/15120 binary64) x) x #s(literal 1/360 binary64))
(fma.f64 (.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/129600 binary64) (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/15120 binary64) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 #s(literal 1/15120 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/15120 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/15120 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64))) (/.f64 #s(literal -1/129600 binary64) (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64))) (neg.f64 (/.f64 #s(literal -1/129600 binary64) (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)))))
(+.f64 (.f64 #s(literal 1/15120 binary64) (.f64 x x)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/15120 binary64) (.f64 x x)))

eval106.0ms (1.6%)

Memory: 4.1MiB live, 50.6MiB allocated
Compiler: Compiled 17 355 to 2 029 computations (88.3% saved)

prune24.0ms (0.4%)

Memory

-2.5MiB live, 35.1MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	454	2	456
Fresh	0	0	0
Picked	2	1	3
Done	0	9	9
Total	456	12	468

Accuracy

100.0%

Counts

468 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	52.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
	2.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x))))
	2.9%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* 1/6 x) (/ -2 x)) (*.f64 #s(literal 1/6 binary64) x))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin 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))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
✓	99.8%	#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
✓	7.4%	#s(literal 1 binary64)

Compiler

Compiled 439 to 233 computations (46.9% saved)

regimes15.0ms (0.2%)

Memory

-14.5MiB live, 22.9MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* 1/6 x) (/ -2 x)) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin 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))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))

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

Calls

2 calls:

8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
6.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* 1/6 x) (/ -2 x)) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin 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))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 x x) (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.6%	2	`x`
56.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

-27.2MiB live, 10.7MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* 1/6 x) (/ -2 x)) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin 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))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* (+ (* 1/360 (* x x)) 1/6) x) (/ -2 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.6%	2	`x`
55.4%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* 1/6 x) (/ -2 x)) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) #s(approx (+ (* 1/6 x) (/ -2 x)) (*.f64 #s(literal 1/6 binary64) x))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.1%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
55.2%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
7.4%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0029269142850072536	0.012651738319834896

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch24.0ms (0.4%)

Memory

-32.9MiB live, 16.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.00585381185384488	4.341816252078944

Samples

17.0ms

128×

valid

Compiler

Compiled 186 to 154 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 9.0ms (62.7% of total)

ival-sin: 3.0ms (20.9% of total)

ival-sub: 1.0ms (7% of total)

ival-div: 1.0ms (7% 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00585381185384488	4.341816252078944

Compiler

Compiled 162 to 146 computations (9.9% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00585381185384488	4.341816252078944

Compiler

Compiled 146 to 138 computations (5.5% saved)

bsearch12.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.00585381185384488	4.341816252078944

Samples

7.0ms

80×

valid

Compiler

Compiled 106 to 114 computations (-7.5% saved)

Precisions

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

ival-cos: 2.0ms (34.4% of total)

ival-sin: 2.0ms (34.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify23.0ms (0.4%)

Memory

13.1MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	117
1	58	117
2	61	117
3	63	117
4	64	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin 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)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin 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)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness908.0ms (14%)

Memory

-12.4MiB live, 538.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	12
1	39	12
2	245	12
3	2355	11
0	8885	11
0	122	330
1	338	330
2	828	330
3	1864	324
4	3467	324
0	8390	290
0	79	202
1	224	202
2	555	196
3	1661	196
4	3000	196
5	4247	196
6	4597	196
7	5328	196
8	6820	196
0	8376	172
0	22	105
0	34	94
1	126	94
2	766	94
3	7651	94
0	8234	94

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×	node limit
1×	iter limit

Compiler

Compiled 239 to 146 computations (38.9% saved)

preprocess85.0ms (1.3%)

Memory: 10.7MiB live, 92.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 272 to 138 computations (49.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

Iter	Nodes	Cost
0	22	124
0	34	113
1	59	113
2	92	113
3	156	113
4	255	113
5	285	113
6	321	113
7	395	113
8	517	113
9	725	113
10	767	113
11	770	113
12	778	113
13	783	113
14	787	113
15	794	113
16	874	113
17	961	113
18	965	113
0	965	113

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

Iter	Nodes	Cost
0	22	124
0	34	113
1	59	113
2	92	113
3	156	113
4	255	113
5	285	113
6	321	113
7	395	113
8	517	113
9	725	113
10	767	113
11	770	113
12	778	113
13	783	113
14	787	113
15	794	113
16	874	113
17	961	113
18	965	113
0	965	113

start0.0ms (0%)

analyze115.0ms (1.8%)

sample2.0s (30.6%)

explain197.0ms (3.1%)

preprocess54.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify47.0ms (0.7%)

localize58.0ms (0.9%)

series2.0ms (0%)

simplify244.0ms (3.8%)

rewrite425.0ms (6.6%)

eval115.0ms (1.8%)

prune21.0ms (0.3%)

simplify37.0ms (0.6%)

localize151.0ms (2.3%)

series7.0ms (0.1%)

simplify229.0ms (3.5%)

rewrite188.0ms (2.9%)

eval75.0ms (1.2%)

prune17.0ms (0.3%)

simplify44.0ms (0.7%)

localize244.0ms (3.8%)

series10.0ms (0.2%)

simplify159.0ms (2.5%)

rewrite248.0ms (3.8%)

eval76.0ms (1.2%)

prune14.0ms (0.2%)

simplify9.0ms (0.1%)

localize129.0ms (2%)

series7.0ms (0.1%)

simplify121.0ms (1.9%)

rewrite215.0ms (3.3%)

eval106.0ms (1.6%)

prune24.0ms (0.4%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.2%)

simplify23.0ms (0.4%)

soundness908.0ms (14%)

preprocess85.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

Iter	Nodes	Cost
0	22	124
0	34	113
1	59	113
2	92	113
3	156	113
4	255	113
5	285	113
6	321	113
7	395	113
8	517	113
9	725	113
10	767	113
11	770	113
12	778	113
13	783	113
14	787	113
15	794	113
16	874	113
17	961	113
18	965	113
0	965	113