Metrics for tanhf (example 3.4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze109.0ms (1.5%)

Memory

16.7MiB live, 133.5MiB 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)

sample1.9s (27%)

Memory

47.9MiB live, 1 696.6MiB allocated

Samples

692.0ms	2 280×	2	valid
480.0ms	4 189×	0	valid
264.0ms	577×	3	valid
156.0ms	1 206×	1	valid
6.0ms	4×	4	valid

Precisions

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

ival-cos: 754.0ms (54.3% of total)

ival-sin: 206.0ms (14.8% of total)

adjust: 150.0ms (10.8% of total)

ival-sub: 149.0ms (10.7% of total)

ival-div: 113.0ms (8.1% of total)

ival-true: 7.0ms (0.5% of total)

exact: 6.0ms (0.4% of total)

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

Bogosity

explain259.0ms (3.6%)

Memory

-17.7MiB live, 180.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
78	0	-	78	(-3.3599761421828057e-227)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
77	72	(-2.0936798789674027e-191)	8	(2.767639969231121e-157)	`(-.f64 #s(literal 1 binary64) (cos.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	141	4

Confusion

	Predicted +	Predicted -
+	140	7
-	1	108

Precision

0.9929078014184397

Recall

0.9523809523809523

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	1	6
-	1	3	105

Precision?

0.9724137931034482

Recall?

0.9591836734693877

Freqs

test

number	freq
0	115
1	141

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	176×	2	valid
37.0ms	232×	0	valid
12.0ms	32×	3	valid
8.0ms	72×	1	valid

Compiler

Compiled 79 to 37 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-cos: 59.0ms (65.5% of total)

ival-sin: 11.0ms (12.2% of total)

ival-div: 7.0ms (7.8% of total)

adjust: 7.0ms (7.8% of total)

ival-sub: 6.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess46.0ms (0.6%)

Memory

7.5MiB live, 43.0MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify22.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB 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)

localize59.0ms (0.8%)

Memory

0.9MiB live, 36.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0	(cos.f64 x)
accuracy	15.71878246837175	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	17.34888569217625	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Samples

29.0ms	88×	2	valid
12.0ms	116×	0	valid
7.0ms	16×	3	valid
4.0ms	36×	1	valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 24.0ms (59.7% of total)

ival-sin: 5.0ms (12.4% of total)

adjust: 4.0ms (10% of total)

ival-div: 3.0ms (7.5% of total)

ival-sub: 3.0ms (7.5% of total)

ival-assert: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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))

simplify239.0ms (3.3%)

Memory

-30.6MiB live, 180.0MiB 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)

rewrite179.0ms (2.5%)

Memory

19.8MiB live, 178.1MiB 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)))

eval78.0ms (1.1%)

Memory: -16.9MiB live, 134.8MiB allocated
Compiler: Compiled 13 034 to 1 647 computations (87.4% saved)

prune15.0ms (0.2%)

Memory

12.4MiB live, 49.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	628	6	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	629	6	635

Accuracy

100.0%

Counts

635 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
▶	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	55.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
▶	55.8%	#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))
▶	55.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶	56.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 162 to 118 computations (27.2% saved)

simplify59.0ms (0.8%)

Memory

-3.1MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
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	26	204
0	44	192
1	82	192
2	142	192
3	294	192
4	649	192
5	958	192
6	1012	192
7	1090	192
8	1214	192
9	1422	192
10	1464	192
11	1467	192
12	1475	192
13	1481	192
14	1485	192
15	1492	192
16	1667	192
17	1914	192
18	1920	192
0	1920	192

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)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal 1/24 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)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

localize216.0ms (3%)

Memory

9.9MiB live, 165.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(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))
accuracy	0.0546875	(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))
accuracy	0.27383839434154217	(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
accuracy	28.319675554521595	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	0.046875	(.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	0.05078125	(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	0.2749785930262207	(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	28.29821840178657	#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	0.0625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.30443174318534627	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	28.24666682055248	#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	27.98590381948989	#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	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))

Samples

70.0ms	116×	0	valid
68.0ms	88×	2	valid
16.0ms	36×	1	valid
13.0ms	16×	3	valid

Compiler

Compiled 380 to 56 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

const: 36.0ms (25.8% of total)

ival-cos: 34.0ms (24.4% of total)

ival-mult: 24.0ms (17.2% of total)

adjust: 19.0ms (13.6% of total)

ival-add: 10.0ms (7.2% of total)

ival-tan: 5.0ms (3.6% of total)

ival-sin: 5.0ms (3.6% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

16 → 44

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))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 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)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (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)))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240))
3.0ms	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) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240))
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) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240))

Time

Variable

Point

Expression

4.0ms

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

3.0ms

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

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

simplify188.0ms (2.6%)

Memory

-36.9MiB live, 92.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	445
1	319	445
2	843	441
3	2203	439
4	4765	439
0	8114	405

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

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)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (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)))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 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)
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))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(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))
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* 17/40320 (pow x 2)))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 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 x #s(literal 2 binary64)))
(* 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)))))
(.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))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(* 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))
(* 17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/240 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (.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)) x) x)
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(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))
(* 17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(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))
(* 17/40320 (pow x 2))
(.f64 #s(literal 17/40320 binary64) (.f64 x x))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite205.0ms (2.8%)

Memory

19.8MiB live, 212.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	179
0	44	167
1	177	167
2	1218	167
0	8509	167

Stop Event

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

Counts

16 → 503

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))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))

Outputs
(.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)) (/.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.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) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x))))))
(.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 1/2 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) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 #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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(.f64 (-.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.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 1/2 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 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 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (sin.f64 x) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 x)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (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 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (tan.f64 x)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.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 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x)))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x)))) (-.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 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))))
(/.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (.f64 x x))) (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64))
(fma.f64 (.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal -1/240 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64))
(-.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal -1/240 binary64))) (neg.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))
(+.f64 (.f64 #s(literal 17/40320 binary64) (.f64 x x)) #s(literal 1/240 binary64))
(+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (.f64 x x)))

eval94.0ms (1.3%)

Memory: -5.7MiB live, 141.9MiB allocated
Compiler: Compiled 20 343 to 2 426 computations (88.1% saved)

prune20.0ms (0.3%)

Memory

23.5MiB live, 59.3MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	585	2	587
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	585	8	593

Accuracy

100.0%

Counts

593 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	56.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	55.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
✓	55.8%	#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))
▶	55.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
✓	55.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	56.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 124 to 89 computations (28.2% saved)

simplify379.0ms (5.3%)

Memory

6.9MiB live, 172.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	6464	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
cost-diff	0	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	155
0	37	127
1	68	127
2	130	127
3	356	127
4	910	127
5	1702	127
6	1891	127
7	1975	127
8	2077	127
9	2236	127
10	2273	127
11	2286	127
12	2308	127
13	2331	127
14	2337	127
15	2347	127
16	2523	127
17	2863	127
18	3213	127
19	4003	127
20	4665	127
21	6063	127
22	6769	127
23	7468	127
24	7512	127
25	7516	127
26	7580	127
27	7590	127
28	7590	127
29	7590	127
0	8313	127

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (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)))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)

Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)))
(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))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)

localize216.0ms (3%)

Memory

-27.7MiB live, 204.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.171875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy	27.98590381948989	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy	0.0546875	(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))
accuracy	0.1424950342849023	(/.f64 #s(literal 1 binary64) (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)))
accuracy	0.27383839434154217	(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
accuracy	28.319675554521595	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))

Samples

77.0ms	88×	2	valid
34.0ms	116×	0	valid
29.0ms	36×	1	valid
11.0ms	16×	3	valid

Compiler

Compiled 296 to 52 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 29.0ms (22% of total)

ival-pow: 27.0ms (20.5% of total)

ival-cos: 25.0ms (19% of total)

const: 16.0ms (12.2% of total)

ival-div: 11.0ms (8.4% of total)

adjust: 10.0ms (7.6% of total)

ival-add: 5.0ms (3.8% of total)

ival-sin: 5.0ms (3.8% of total)

ival-sub: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series8.0ms (0.1%)

Memory

-31.4MiB live, 6.7MiB allocated

Counts

11 → 38

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(/.f64 #s(literal 1 binary64) (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)))
(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))

Outputs
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(/ 2 x)
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
24
(+ 24 (* -12/5 (pow x 2)))
(+ 24 (* (pow x 2) (- (* -1/350 (pow x 2)) 12/5)))
(+ 24 (* (pow x 2) (- (* (pow x 2) (- (* 43/1750 (pow x 2)) 1/350)) 12/5)))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(/ (- 1 (cos x)) (sin x))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(/ 40320/17 (pow x 4))
(/ (- 40320/17 (* 6773760/289 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 40320/17 (* -1 (/ (+ 6773760/289 (* 13547520/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/ (- (+ 40320/17 (* 195734568960/83521 (/ 1 (pow x 6)))) (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4)))) (pow x 4))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify125.0ms (1.7%)

Memory

36.3MiB live, 110.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	416
1	319	415
2	814	413
3	2088	409
4	4568	409
0	8209	381

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

Calls

Call 1

Inputs
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(/ 2 x)
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
24
(+ 24 (* -12/5 (pow x 2)))
(+ 24 (* (pow x 2) (- (* -1/350 (pow x 2)) 12/5)))
(+ 24 (* (pow x 2) (- (* (pow x 2) (- (* 43/1750 (pow x 2)) 1/350)) 12/5)))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(/ (- 1 (cos x)) (sin x))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(/ 40320/17 (pow x 4))
(/ (- 40320/17 (* 6773760/289 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 40320/17 (* -1 (/ (+ 6773760/289 (* 13547520/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/ (- (+ 40320/17 (* 195734568960/83521 (/ 1 (pow x 6)))) (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4)))) (pow x 4))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))

Outputs
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(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))
(* 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 (.f64 x x) #s(literal 1/240 binary64) #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))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* 17/40320 (pow x 2)))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
24
#s(literal 24 binary64)
(+ 24 (* -12/5 (pow x 2)))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
(+ 24 (* (pow x 2) (- (* -1/350 (pow x 2)) 12/5)))
(fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))
(+ 24 (* (pow x 2) (- (* (pow x 2) (- (* 43/1750 (pow x 2)) 1/350)) 12/5)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 43/1750 binary64) (.f64 x x) #s(literal -1/350 binary64)) (.f64 x x) #s(literal -12/5 binary64)) (*.f64 x x) #s(literal 24 binary64))
(* 17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(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))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* 17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal -17/40320 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (.f64 x x))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(* 17/40320 (pow x 2))
(.f64 #s(literal 17/40320 binary64) (.f64 x x))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(/ 40320/17 (pow x 4))
(/.f64 #s(literal 40320/17 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- 40320/17 (* 6773760/289 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 40320/17 binary64) (/.f64 #s(literal 6773760/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 40320/17 (* -1 (/ (+ 6773760/289 (* 13547520/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal 40320/17 binary64) (/.f64 #s(literal 13547520/4913 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 6773760/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ 40320/17 (* 195734568960/83521 (/ 1 (pow x 6)))) (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 195734568960/83521 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 40320/17 binary64)) (-.f64 (/.f64 #s(literal 13547520/4913 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -6773760/289 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite279.0ms (3.9%)

Memory

-14.8MiB live, 188.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	141
0	37	113
1	162	113
2	985	113
0	8690	113

Stop Event

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

Counts

11 → 573

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(/.f64 #s(literal 1 binary64) (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)))
(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))

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x)) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (neg.f64 x) #s(literal 1/24 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x)) x)))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #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 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64)))))
(fma.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (.f64 #s(literal 17/9676800 binary64) (.f64 x x)))) #s(literal -1 binary64)) (.f64 x x)) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 17/40320 binary64)) (.f64 x x) (fma.f64 (.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 17/40320 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 1 binary64) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64) #s(literal 1/24 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1 binary64)) #s(literal 1/24 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 17/40320 binary64)) (fma.f64 (.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 17/40320 binary64)) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64) #s(literal 1/24 binary64)))
(fma.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) #s(literal 1 binary64)) #s(literal 1/24 binary64))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 17/40320 binary64)) (fma.f64 (.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 17/40320 binary64)) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64) #s(literal 1/24 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)))
(fma.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)) (fma.f64 (.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))))
(+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/240 binary64) (.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)))
(+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))) (.f64 #s(literal 1/240 binary64) (*.f64 x x)))
(+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal -1 binary64)) #s(literal 1/24 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)))) #s(literal 1/24 binary64))
(+.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)))) #s(literal 1/24 binary64))
(+.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64) #s(literal 1/24 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)) (fma.f64 (.f64 #s(literal 1/240 binary64) x) x #s(literal 1/24 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64) #s(literal 1/24 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/24 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)))))
(+.f64 #s(literal 1/24 binary64) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))
(exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))))

eval110.0ms (1.5%)

Memory: 3.9MiB live, 109.6MiB allocated
Compiler: Compiled 19 418 to 2 337 computations (88% saved)

prune23.0ms (0.3%)

Memory

-21.6MiB live, 34.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	475	3	478
Fresh	0	0	0
Picked	3	0	3
Done	1	4	5
Total	479	7	486

Accuracy

100.0%

Counts

486 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	55.8%	#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))
▶	55.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
▶	55.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
✓	55.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	56.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
▶	7.6%	#s(literal 1 binary64)

Compiler

Compiled 136 to 95 computations (30.1% saved)

simplify233.0ms (3.2%)

Memory

29.8MiB live, 101.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	356
0	49	350
1	92	344
2	158	344
3	325	344
4	481	344
5	509	344
6	542	344
7	616	344
8	740	344
9	947	344
10	989	344
11	995	344
12	1012	344
13	1021	344
14	1024	344
15	1031	344
16	1146	344
17	1324	344
18	1403	344
19	1581	344
20	1745	344
21	1937	344
22	2667	344
23	3696	344
24	4324	344
25	4560	344
26	4636	344
27	4668	344
28	4690	344
29	4924	344
30	5013	344
31	5014	344
32	5014	344
33	5026	344
0	5026	318

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64)))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
#s(literal -12/5 binary64)
(*.f64 x x)
x
#s(literal 24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))
(fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))
(fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))
#s(literal -1/350 binary64)
(*.f64 x x)
x
#s(literal -12/5 binary64)
#s(literal 24 binary64)
#s(literal 1/2 binary64)

Outputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64)))
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
(fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))
#s(literal -12/5 binary64)
(*.f64 x x)
x
#s(literal 24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))
(fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))
(fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))
#s(literal -1/350 binary64)
(*.f64 x x)
x
#s(literal -12/5 binary64)
#s(literal 24 binary64)
#s(literal 1/2 binary64)

localize209.0ms (2.9%)

Memory

-20.0MiB live, 260.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.046875	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))
accuracy	0.2599117980385215	(fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))
accuracy	28.319675554521595	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	28.48877727477674	#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))))
accuracy	0.09375	(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
accuracy	28.319675554521595	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	28.438323325676237	#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64)))

Samples

83.0ms	88×	2	valid
42.0ms	116×	0	valid
16.0ms	36×	1	valid
13.0ms	16×	3	valid

Compiler

Compiled 577 to 65 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-cos: 30.0ms (23.3% of total)

const: 26.0ms (20.2% of total)

ival-mult: 16.0ms (12.4% of total)

ival-sub: 14.0ms (10.9% of total)

adjust: 13.0ms (10.1% of total)

ival-add: 13.0ms (10.1% of total)

ival-div: 8.0ms (6.2% of total)

ival-sin: 8.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

10 → 33

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))))
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
(fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))

Outputs
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
24
(+ 24 (* -12/5 (pow x 2)))
(+ 24 (* (pow x 2) (- (* -1/350 (pow x 2)) 12/5)))
(+ 24 (* (pow x 2) (- (* (pow x 2) (- (* 43/1750 (pow x 2)) 1/350)) 12/5)))
-12/5
(- (* -1/350 (pow x 2)) 12/5)
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(/ (- 1 (cos x)) (sin x))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(/ 40320/17 (pow x 4))
(/ (- 40320/17 (* 6773760/289 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 40320/17 (* -1 (/ (+ 6773760/289 (* 13547520/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/ (- (+ 40320/17 (* 195734568960/83521 (/ 1 (pow x 6)))) (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4)))) (pow x 4))
(* -12/5 (pow x 2))
(* (pow x 2) (- (* 24 (/ 1 (pow x 2))) 12/5))
(* -1/350 (pow x 2))
(* -1 (* (pow x 2) (+ 1/350 (* 12/5 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((+ (* (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (* x x)) 1/2) (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (+ (* (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (* x x)) 1/2) (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (+ (* -12/5 (* x x)) 24) (+ (* -1/350 (* x x)) -12/5))

1.0ms

-inf

((+ (* (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (* x x)) 1/2) (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (+ (* (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (* x x)) 1/2) (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (+ (* -12/5 (* x x)) 24) (+ (* -1/350 (* x x)) -12/5))

1.0ms

((+ (* (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (* x x)) 1/2) (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (+ (* (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (* x x)) 1/2) (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24))) (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (+ (* -12/5 (* x x)) 24) (+ (* -1/350 (* x x)) -12/5))

simplify162.0ms (2.2%)

Memory

4.8MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	323
1	268	322
2	683	322
3	1697	322
4	3370	322
5	7162	322
0	8145	289

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
24
(+ 24 (* -12/5 (pow x 2)))
(+ 24 (* (pow x 2) (- (* -1/350 (pow x 2)) 12/5)))
(+ 24 (* (pow x 2) (- (* (pow x 2) (- (* 43/1750 (pow x 2)) 1/350)) 12/5)))
-12/5
(- (* -1/350 (pow x 2)) 12/5)
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(/ (- 1 (cos x)) (sin x))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(/ 40320/17 (pow x 4))
(/ (- 40320/17 (* 6773760/289 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 40320/17 (* -1 (/ (+ 6773760/289 (* 13547520/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/ (- (+ 40320/17 (* 195734568960/83521 (/ 1 (pow x 6)))) (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4)))) (pow x 4))
(* -12/5 (pow x 2))
(* (pow x 2) (- (* 24 (/ 1 (pow x 2))) 12/5))
(* -1/350 (pow x 2))
(* -1 (* (pow x 2) (+ 1/350 (* 12/5 (/ 1 (pow x 2))))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #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 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))
24
#s(literal 24 binary64)
(+ 24 (* -12/5 (pow x 2)))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
(+ 24 (* (pow x 2) (- (* -1/350 (pow x 2)) 12/5)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/350 binary64) x) x #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))
(+ 24 (* (pow x 2) (- (* (pow x 2) (- (* 43/1750 (pow x 2)) 1/350)) 12/5)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 43/1750 binary64) (.f64 x x) #s(literal -1/350 binary64)) (.f64 x x) #s(literal -12/5 binary64)) (*.f64 x x) #s(literal 24 binary64))
-12/5
#s(literal -12/5 binary64)
(- (* -1/350 (pow x 2)) 12/5)
(fma.f64 (*.f64 #s(literal -1/350 binary64) x) x #s(literal -12/5 binary64))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* 17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x)
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(/ 40320/17 (pow x 4))
(/.f64 #s(literal 40320/17 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- 40320/17 (* 6773760/289 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 40320/17 binary64) (/.f64 #s(literal 6773760/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 40320/17 (* -1 (/ (+ 6773760/289 (* 13547520/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal 40320/17 binary64) (/.f64 #s(literal 13547520/4913 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 6773760/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ 40320/17 (* 195734568960/83521 (/ 1 (pow x 6)))) (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 195734568960/83521 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 40320/17 binary64)) (-.f64 (/.f64 #s(literal 13547520/4913 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -6773760/289 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* -12/5 (pow x 2))
(.f64 #s(literal -12/5 binary64) (.f64 x x))
(* (pow x 2) (- (* 24 (/ 1 (pow x 2))) 12/5))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
(* -1/350 (pow x 2))
(.f64 #s(literal -1/350 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/350 (* 12/5 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -1/350 binary64) x) x #s(literal -12/5 binary64))

rewrite157.0ms (2.2%)

Memory

7.2MiB live, 161.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	260
0	49	254
1	222	250
2	1516	250
0	8266	234

Stop Event

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

Counts

10 → 226

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))))
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64))))
#s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))
(fma.f64 #s(literal -12/5 binary64) (*.f64 x x) #s(literal 24 binary64))
(fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))

Outputs
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))))))))
(.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))))))
(.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))) (.f64 (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))))
(fma.f64 (*.f64 #s(literal -1/350 binary64) x) x #s(literal -12/5 binary64))
(fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/350 binary64) #s(literal -12/5 binary64))
(fma.f64 x (*.f64 #s(literal -1/350 binary64) x) #s(literal -12/5 binary64))
(-.f64 (/.f64 #s(literal 144/25 binary64) (-.f64 #s(literal -12/5 binary64) (.f64 #s(literal -1/350 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/122500 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -12/5 binary64) (.f64 #s(literal -1/350 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/122500 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal 12/5 binary64))) (/.f64 #s(literal 144/25 binary64) (fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal 12/5 binary64))))
(+.f64 (.f64 #s(literal -1/350 binary64) (.f64 x x)) #s(literal -12/5 binary64))
(+.f64 #s(literal -12/5 binary64) (.f64 #s(literal -1/350 binary64) (.f64 x x)))

eval55.0ms (0.8%)

Memory: -18.8MiB live, 76.5MiB allocated
Compiler: Compiled 15 641 to 1 545 computations (90.1% saved)

prune9.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	256	7	263

Accuracy

100.0%

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	55.8%	#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))
✓	55.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
	55.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
	55.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
✓	56.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
✓	7.6%	#s(literal 1 binary64)

Compiler

Compiled 430 to 170 computations (60.5% saved)

regimes9.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

14 → 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

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

Calls

2 calls:

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

regimes13.0ms (0.2%)

Memory

-29.5MiB live, 8.6MiB 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs

#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (*.f64 x x) #s(literal -12/5 binary64)) (*.f64 x x) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))

#s(literal 1 binary64)

Calls

2 calls:

8.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
59.6%	2	`x`
59.4%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

8 → 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 #s(literal -12/5 binary64) (.f64 x x) #s(literal 24 binary64)))) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))

Outputs

#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x))

#s(literal 1 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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))

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 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
59.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
59.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
7.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
7.6%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch17.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8683722393706124	50.18739124050979

Samples

11.0ms

112×

valid

Compiler

Compiled 318 to 227 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 4.0ms (46.4% of total)

ival-sin: 3.0ms (34.8% of total)

ival-sub: 1.0ms (11.6% of total)

ival-div: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.8683722393706124	50.18739124050979

Samples

5.0ms

48×

valid

Compiler

Compiled 283 to 213 computations (24.7% saved)

Precisions

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

ival-cos: 1.0ms (28% of total)

ival-sin: 1.0ms (28% 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)

bsearch21.0ms (0.3%)

Memory

-26.5MiB live, 9.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.8683722393706124	50.18739124050979

Samples

9.0ms

96×

valid

Compiler

Compiled 164 to 136 computations (17.1% saved)

Precisions

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

ival-cos: 3.0ms (41.6% of total)

ival-sin: 3.0ms (41.6% of total)

ival-div: 1.0ms (13.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8683722393706124	50.18739124050979

Compiler

Compiled 129 to 122 computations (5.4% saved)

bsearch19.0ms (0.3%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2455519092185206e-11	1.8683722393706124

Samples

12.0ms

160×

valid

Compiler

Compiled 130 to 140 computations (-7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (35.6% of total)

ival-sin: 3.0ms (35.6% of total)

ival-sub: 1.0ms (11.9% of total)

ival-div: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify31.0ms (0.4%)

Memory

-24.5MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	159
1	66	159

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 2871044762448691/281474976710656 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 14 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 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 3602879701896397/1125899906842624 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 3152519739159347/2251799813685248 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 x #s(literal 2871044762448691/281474976710656 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (fma.f64 #s(literal -1/350 binary64) (.f64 x x) #s(literal -12/5 binary64)) (.f64 x x) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 14 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24)) (fma.f64 (*.f64 x x) #s(literal -12/5 binary64) #s(literal 24 binary64)))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 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 3602879701896397/1125899906842624 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 3152519739159347/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.2s (17.2%)

Memory

30.2MiB live, 701.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	260
0	49	254
1	222	250
2	1516	250
0	8266	234
0	111	416
1	319	415
2	814	413
3	2088	409
4	4568	409
0	8209	381
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	26	179
0	44	167
1	177	167
2	1218	167
0	8509	167
0	6	15
0	10	12
1	39	12
2	245	12
3	2355	11
0	8885	11
0	24	141
0	37	113
1	162	113
2	985	113
0	8690	113

Stop Event

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

Compiler

Compiled 389 to 217 computations (44.2% saved)

preprocess121.0ms (1.7%)

Memory: -27.1MiB live, 50.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 356 to 154 computations (56.7% 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	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

start0.0ms (0%)

analyze109.0ms (1.5%)

sample1.9s (27%)

explain259.0ms (3.6%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.3%)

localize59.0ms (0.8%)

series2.0ms (0%)

simplify239.0ms (3.3%)

rewrite179.0ms (2.5%)

eval78.0ms (1.1%)

prune15.0ms (0.2%)

simplify59.0ms (0.8%)

localize216.0ms (3%)

series10.0ms (0.1%)

simplify188.0ms (2.6%)

rewrite205.0ms (2.8%)

eval94.0ms (1.3%)

prune20.0ms (0.3%)

simplify379.0ms (5.3%)

localize216.0ms (3%)

series8.0ms (0.1%)

simplify125.0ms (1.7%)

rewrite279.0ms (3.9%)

eval110.0ms (1.5%)

prune23.0ms (0.3%)

simplify233.0ms (3.2%)

localize209.0ms (2.9%)

series4.0ms (0.1%)

simplify162.0ms (2.2%)

rewrite157.0ms (2.2%)

eval55.0ms (0.8%)

prune9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

bsearch19.0ms (0.3%)

simplify31.0ms (0.4%)

soundness1.2s (17.2%)

preprocess121.0ms (1.7%)

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