Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.6s (19.9%)

Memory

56.7MiB live, 1 787.0MiB allocated

Samples

651.0ms	2 274×	2	valid
368.0ms	4 151×	0	valid
211.0ms	578×	3	valid
132.0ms	1 253×	1	valid

Precisions

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

ival-cos: 753.0ms (64.7% of total)

ival-div: 120.0ms (10.3% of total)

ival-sub: 112.0ms (9.6% of total)

adjust: 102.0ms (8.8% of total)

ival-mult: 62.0ms (5.3% of total)

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

exact: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain211.0ms (2.6%)

Memory

4.3MiB live, 290.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
80	68	(7.15305902580942e-227)	1	(-1.2775784664366694e+81)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
68	1	(9.002782032680098e+160)	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	147	4
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	66	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	66
↳	`(*.f64 x x)`	underflow	66
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	50

Confusion

	Predicted +	Predicted -
+	145	1
-	5	105

Precision

0.9666666666666667

Recall

0.9931506849315068

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	1	0
-	5	3	102

Precision?

0.948051948051948

Recall?

1.0

Freqs

test

number	freq
0	106
1	84
2	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	132×	2	valid
20.0ms	40×	3	valid
20.0ms	234×	0	valid
12.0ms	106×	1	valid

Compiler

Compiled 88 to 37 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-cos: 51.0ms (67.5% of total)

adjust: 8.0ms (10.6% of total)

ival-div: 6.0ms (7.9% of total)

ival-sub: 5.0ms (6.6% of total)

ival-mult: 4.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess50.0ms (0.6%)

Memory

20.7MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	32	17
2	102	16
3	299	16
4	757	16
5	1185	16
6	1294	16
7	1310	16
0	6	8
0	10	8
1	19	8
2	30	8
3	46	8
4	82	8
5	131	8
6	188	8
7	323	8
8	621	8
9	1027	8
10	1138	8
0	1138	8

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)) (*.f64 x x))

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify24.0ms (0.3%)

Memory

-25.0MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	19	19
2	30	19
3	46	19
4	82	19
5	131	19
6	188	19
7	323	19
8	621	19
9	1027	19
10	1138	19
0	1138	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1%)

Memory

-49.6MiB live, 73.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(cos.f64 x)
accuracy	16.413446735882516	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy	17.694987970004846	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

52.0ms	66×	2	valid
9.0ms	117×	0	valid
7.0ms	20×	3	valid
6.0ms	53×	1	valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-cos: 51.0ms (82.1% of total)

ival-div: 3.0ms (4.8% of total)

adjust: 3.0ms (4.8% of total)

ival-sub: 3.0ms (4.8% of total)

ival-mult: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.8MiB live, 4.9MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

simplify215.0ms (2.6%)

Memory

33.7MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	153
1	105	153
2	258	153
3	609	153
4	1290	153
5	1996	153
6	2309	153
7	3163	153
8	4640	153
9	6288	153
10	7174	153
11	7388	153
12	7406	153
13	7408	153
14	7824	153
0	8033	135

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite195.0ms (2.4%)

Memory

7.9MiB live, 198.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17

Stop Event

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

Counts

4 → 629

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 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 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 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 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.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 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (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)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (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)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (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))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 x (/.f64 (cos.f64 x) x)) (.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(exp.f64 (.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (log1p.f64 (cos.f64 x))) #s(literal -1 binary64)))

eval100.0ms (1.2%)

Memory: -17.0MiB live, 104.9MiB allocated
Compiler: Compiled 13 688 to 1 661 computations (87.9% saved)

prune52.0ms (0.6%)

Memory

11.2MiB live, 48.9MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	625	20	645
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	625	21	646

Accuracy

100.0%

Counts

646 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
	26.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	47.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	46.9%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	13.7%	(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
▶	18.7%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
	36.8%	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
▶	45.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
✓	45.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	21.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	73.5%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	46.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	45.6%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
	17.9%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	46.2%	(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	47.0%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
▶	74.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
	55.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
▶	56.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 574 to 358 computations (37.6% saved)

simplify125.0ms (1.5%)

Memory

7.2MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	256	(-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
cost-diff	1024	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff	6592	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(/.f64 (cos.f64 x) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
cost-diff	1024	(*.f64 x (/.f64 (cos.f64 x) x))
cost-diff	0	(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	384	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	204
0	56	193
1	114	192
2	302	169
3	1454	169
4	4365	169
5	7402	169
0	8092	169

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (2.7%)

Memory

-22.6MiB live, 325.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(/.f64 (cos.f64 x) x)
accuracy	13.34200111324487	(-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
accuracy	26.3287418309556	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	27.171361969226233	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy	0.1171875	(/.f64 (cos.f64 x) x)
accuracy	0.2265625	(*.f64 x (/.f64 (cos.f64 x) x))
accuracy	16.413446735882516	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
accuracy	17.694987970004846	(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
accuracy	0.02734375	(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))
accuracy	0.03125	(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))
accuracy	0.5281469332630151	(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
accuracy	28.467875563679755	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
accuracy	27.792883667674023	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0	(sin.f64 x)
accuracy	0.1796875	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	15.844237805581965	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

73.0ms	66×	2	valid
62.0ms	117×	0	valid
26.0ms	20×	3	valid
26.0ms	53×	1	valid

Compiler

Compiled 397 to 68 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div: 51.0ms (32.1% of total)

ival-mult: 25.0ms (15.7% of total)

ival-cos: 24.0ms (15.1% of total)

adjust: 15.0ms (9.4% of total)

const: 14.0ms (8.8% of total)

ival-tan: 8.0ms (5% of total)

ival-sub: 7.0ms (4.4% of total)

ival-sin: 6.0ms (3.8% of total)

ival-add: 5.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

18 → 62

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)))
4.0ms	x	@	-inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)))
2.0ms	x	@	0	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)))

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify156.0ms (1.9%)

Memory

13.2MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	637
1	366	631
2	915	623
3	2783	623
4	5558	623
0	8326	565

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

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

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

rewrite208.0ms (2.5%)

Memory

-25.0MiB live, 177.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	166
0	56	159
1	232	158
2	1709	134
0	8760	134

Stop Event

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

Counts

18 → 943

Calls

Call 1

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

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

eval142.0ms (1.7%)

Memory: 14.4MiB live, 166.8MiB allocated
Compiler: Compiled 23 145 to 2 952 computations (87.2% saved)

prune32.0ms (0.4%)

Memory

-15.3MiB live, 69.5MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	910	14	924
Fresh	10	5	15
Picked	3	2	5
Done	0	1	1
Total	923	22	945

Accuracy

100.0%

Counts

945 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.9%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
	46.2%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
▶	46.2%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
	26.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	47.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.0%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
▶	3.1%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
	21.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
✓	45.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	21.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
	36.8%	(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
▶	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	46.5%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
	46.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	17.9%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
▶	47.0%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	74.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	45.6%	(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
✓	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
	55.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
▶	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	56.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 665 to 407 computations (38.8% saved)

simplify112.0ms (1.4%)

Memory

19.8MiB live, 129.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	1216	(fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	320	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(neg.f64 x)
cost-diff	384	(-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))))
cost-diff	6400	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) x)
cost-diff	0	(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	247
0	69	244
1	132	242
2	303	226
3	1372	222
4	3829	222
5	6232	222
6	7300	222
7	7904	222
0	8184	215

Stop Event

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

Calls

Call 1

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

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

localize632.0ms (7.7%)

Memory

-14.0MiB live, 423.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.09765625	(*.f64 (cos.f64 x) x)
accuracy	16.413446735882516	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
accuracy	33.97002501506334	(fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
accuracy	0	(cos.f64 x)
accuracy	0.1796875	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
accuracy	15.469999524743017	(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	17.694987970004846	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	13.34200111324487	(-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))))
accuracy	25.3341141880941	#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))
accuracy	26.3287418309556	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	27.171361969226233	(.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	0.03125	(fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	27.95415139975663	#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
accuracy	28.467875563679755	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(sin.f64 x)
accuracy	0.09375	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
accuracy	0.09765625	(/.f64 (sin.f64 x) x)
accuracy	0.16082001953688402	(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))

Samples

405.0ms	117×	0	valid
132.0ms	66×	2	valid
30.0ms	53×	1	valid
25.0ms	20×	3	valid

Compiler

Compiled 458 to 85 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 537.0ms

const: 289.0ms (53.8% of total)

ival-mult: 110.0ms (20.5% of total)

ival-div: 50.0ms (9.3% of total)

ival-cos: 24.0ms (4.5% of total)

ival-add: 16.0ms (3% of total)

adjust: 15.0ms (2.8% of total)

ival-sin: 14.0ms (2.6% of total)

ival-tan: 9.0ms (1.7% of total)

ival-sub: 7.0ms (1.3% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

21 → 74

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify159.0ms (1.9%)

Memory

-3.2MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	788
1	371	776
2	852	768
3	2444	768
4	5127	768
0	8153	694

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

Calls

Call 1

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

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

rewrite222.0ms (2.7%)

Memory

-9.7MiB live, 318.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	206
0	69	206
1	272	200
2	2022	200
0	8323	190

Stop Event

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

Counts

21 → 794

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))
(.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (sin.f64 x) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 x (sin.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x (sin.f64 x)) x) (.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(neg.f64 (/.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
(neg.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 x) (.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (.f64 (/.f64 x (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 x (sin.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 x (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sin.f64 x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
(/.f64 (.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x)))) (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 (neg.f64 x) x) (cos.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))

eval195.0ms (2.4%)

Memory: 10.5MiB live, 202.4MiB allocated
Compiler: Compiled 24 208 to 2 957 computations (87.8% saved)

prune110.0ms (1.3%)

Memory

-23.7MiB live, 64.2MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	939	9	948
Fresh	4	10	14
Picked	1	4	5
Done	0	3	3
Total	944	26	970

Accuracy

100.0%

Counts

970 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.2%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
✓	46.2%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
	3.1%	(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
	26.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	47.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	2.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
	3.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
✓	3.1%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
	21.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
✓	45.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	21.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
▶	36.8%	(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
✓	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	46.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	17.9%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	45.9%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	45.6%	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
▶	74.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	31.2%	(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
	46.2%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶	45.6%	(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	56.4%	(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
✓	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
	55.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	56.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 741 to 461 computations (37.8% saved)

simplify283.0ms (3.4%)

Memory

9.3MiB live, 200.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	0	(neg.f64 x)
cost-diff	128	(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
cost-diff	6592	(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	704	(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) x) x)
cost-diff	0	#s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
cost-diff	0	(/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) x)
cost-diff	576	(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	384	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	187
0	58	183
1	100	182
2	175	171
3	363	163
4	823	163
5	2210	163
6	4930	163
7	6125	163
8	6732	163
9	6887	163
10	6977	163
0	8601	163

Stop Event

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

Calls

Call 1

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

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

localize437.0ms (5.3%)

Memory

-13.8MiB live, 237.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f64 (cos.f64 x) x)
accuracy	0.10546875	(.f64 (.f64 (neg.f64 x) x) x)
accuracy	13.34200111324487	(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
accuracy	26.3287418309556	(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
accuracy	0	(cos.f64 x)
accuracy	0.5007304140502538	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	16.160700692373723	(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
accuracy	17.694987970004846	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	0.1796875	(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
accuracy	15.469999524743017	(/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) x)
accuracy	27.786991370023916	#s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
accuracy	0	(*.f64 x x)
accuracy	16.413446735882516	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
accuracy	17.694987970004846	(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
accuracy	25.63109421025031	#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
accuracy	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(sin.f64 x)
accuracy	0.1796875	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	15.844237805581965	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

154.0ms	53×	1	valid
96.0ms	20×	3	valid
76.0ms	66×	2	valid
58.0ms	117×	0	valid

Compiler

Compiled 352 to 67 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-cos: 173.0ms (48.5% of total)

ival-mult: 91.0ms (25.5% of total)

ival-div: 64.0ms (17.9% of total)

adjust: 10.0ms (2.8% of total)

ival-sin: 6.0ms (1.7% of total)

ival-sub: 5.0ms (1.4% of total)

ival-tan: 4.0ms (1.1% of total)

ival-add: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series12.0ms (0.1%)

Memory

20.0MiB live, 20.1MiB allocated

Counts

22 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify197.0ms (2.4%)

Memory

-4.2MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	586
1	339	574
2	838	574
3	2496	574
4	4727	574
5	6528	574
0	8183	514

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite161.0ms (1.9%)

Memory

23.8MiB live, 257.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	158
0	58	154
1	182	147
2	1135	133
0	8507	133

Stop Event

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

Counts

22 → 1 233

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 x (sin.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
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(fma.f64 (*.f64 (cos.f64 x) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (neg.f64 (.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (cos.f64 x) x))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) x x)) (neg.f64 (.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))))
(fma.f64 x (cos.f64 x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) (/.f64 (.f64 x x) (fma.f64 (cos.f64 x) x x)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (cos.f64 x) x))
(-.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 x))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)))
(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 x #s(literal -1 binary64))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(.f64 (.f64 (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) x)
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) x))
(*.f64 x (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (cos.f64 x) x) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (cos.f64 x) x) #s(literal 0 binary64)))))
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (cos.f64 x) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) #s(literal 0 binary64))
(fma.f64 x (cos.f64 x) #s(literal 0 binary64))
(+.f64 (*.f64 (cos.f64 x) x) #s(literal 0 binary64))
(.f64 (.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (sin.f64 x)) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) x)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)) (neg.f64 x))
(/.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (sin.f64 x)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 x x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 x x) (neg.f64 x))
(.f64 x (.f64 (neg.f64 x) x))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 (.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)) x)
(/.f64 (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))

eval206.0ms (2.5%)

Memory: 4.0MiB live, 286.1MiB allocated
Compiler: Compiled 23 998 to 2 909 computations (87.9% saved)

prune45.0ms (0.5%)

Memory

-16.0MiB live, 106.4MiB allocated

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	1 162	7	1 169
Fresh	1	13	14
Picked	1	4	5
Done	0	7	7
Total	1 164	31	1 195

Accuracy

100.0%

Counts

1 195 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.2%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
✓	46.2%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
	3.1%	(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
	26.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	47.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	31.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
	2.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
	3.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
	36.8%	(/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (.f64 (*.f64 (neg.f64 x) x) x))
✓	3.1%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
	21.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
✓	45.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	21.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
✓	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	46.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	17.9%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	45.9%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	45.6%	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
✓	74.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
✓	31.2%	(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
	45.6%	(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
	31.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
	46.2%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	45.6%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
✓	45.6%	(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	30.0%	(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
	56.4%	(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
✓	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
	55.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	55.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	56.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 294 to 512 computations (60.4% saved)

regimes32.0ms (0.4%)

Memory

15.0MiB live, 50.0MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))

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

Calls

2 calls:

17.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
13.0ms	x

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes43.0ms (0.5%)

Memory

-2.0MiB live, 34.6MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))

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

Calls

2 calls:

28.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
13.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes13.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes21.0ms (0.3%)

Memory

-27.9MiB live, 19.0MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x x)))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.2%)

Memory

-3.8MiB live, 33.2MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.8%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.1%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes15.0ms (0.2%)

Memory

-3.6MiB live, 34.0MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64)) x))) (*.f64 x x))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(approx (- (cos x) 1) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (*.f64 (neg.f64 x) x) x))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(approx (- (cos x) 1) (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
75.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
75.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
56.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch15.0ms (0.2%)

Memory

-4.8MiB live, 32.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.459195067571647e-5	0.7387373995125947

Samples

6.0ms

128×

valid

Compiler

Compiled 195 to 170 computations (12.8% saved)

Precisions

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

ival-sub: 1.0ms (26.4% of total)

ival-div: 1.0ms (26.4% of total)

ival-cos: 1.0ms (26.4% of total)

ival-mult: 1.0ms (26.4% 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

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.459195067571647e-5	0.7387373995125947

Compiler

Compiled 211 to 178 computations (15.6% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.459195067571647e-5	0.7387373995125947

Compiler

Compiled 195 to 162 computations (16.9% saved)

bsearch8.0ms (0.1%)

Memory

-54.5MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.459195067571647e-5	0.7387373995125947

Compiler

Compiled 195 to 162 computations (16.9% saved)

bsearch17.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.402350355608076e+38	2.694148731791131e+40

Samples

10.0ms

112×

valid

Compiler

Compiled 263 to 185 computations (29.7% saved)

Precisions

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

ival-cos: 5.0ms (70.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.402350355608076e+38	2.694148731791131e+40

Compiler

Compiled 221 to 164 computations (25.8% saved)

bsearch20.0ms (0.2%)

Memory

-12.7MiB live, 24.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.0201527353497156e+74	2.3930196013488453e+77

Samples

14.0ms

128×

valid

Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 9.0ms (78.2% of total)

ival-sub: 1.0ms (8.7% of total)

ival-div: 1.0ms (8.7% of total)

ival-mult: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.3%)

Memory

19.9MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	229
1	76	229
2	95	229
3	110	229
4	116	229
5	117	229

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x)))
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7999999999999999412318249411849591388070425721595743098101171358242898444288 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 2132904783522667/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x)))
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 x x)))
(if (<=.f64 x #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7999999999999999412318249411849591388070425721595743098101171358242898444288 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness1.7s (20.3%)

Memory

-32.3MiB live, 744.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	637
1	366	631
2	915	623
3	2783	623
4	5558	623
0	8326	565
0	42	206
0	69	206
1	272	200
2	2022	200
0	8323	190
0	33	166
0	56	159
1	232	158
2	1709	134
0	8760	134
0	42	153
1	105	153
2	258	153
3	609	153
4	1290	153
5	1996	153
6	2309	153
7	3163	153
8	4640	153
9	6288	153
10	7174	153
11	7388	153
12	7406	153
13	7408	153
14	7824	153
0	8033	135
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17

Stop Event

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

Compiler

Compiled 394 to 161 computations (59.1% saved)

preprocess80.0ms (1%)

Memory: 26.0MiB live, 62.9MiB allocated
Remove: (abs x)
Compiler: Compiled 518 to 160 computations (69.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.6s (19.9%)

explain211.0ms (2.6%)

preprocess50.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.3%)

localize82.0ms (1%)

series3.0ms (0%)

simplify215.0ms (2.6%)

rewrite195.0ms (2.4%)

eval100.0ms (1.2%)

prune52.0ms (0.6%)

simplify125.0ms (1.5%)

localize227.0ms (2.7%)

series13.0ms (0.2%)

simplify156.0ms (1.9%)

rewrite208.0ms (2.5%)

eval142.0ms (1.7%)

prune32.0ms (0.4%)

simplify112.0ms (1.4%)

localize632.0ms (7.7%)

series12.0ms (0.1%)

simplify159.0ms (1.9%)

rewrite222.0ms (2.7%)

eval195.0ms (2.4%)

prune110.0ms (1.3%)

simplify283.0ms (3.4%)

localize437.0ms (5.3%)

series12.0ms (0.1%)

simplify197.0ms (2.4%)

rewrite161.0ms (1.9%)

eval206.0ms (2.5%)

prune45.0ms (0.5%)

regimes32.0ms (0.4%)

regimes43.0ms (0.5%)

regimes13.0ms (0.2%)

regimes21.0ms (0.3%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

simplify27.0ms (0.3%)

soundness1.7s (20.3%)

preprocess80.0ms (1%)

end0.0ms (0%)

Profiling