Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.7s (20.9%)

Memory

92.1MiB live, 1 788.1MiB allocated

Samples

647.0ms	2 196×	2	valid
375.0ms	4 243×	0	valid
212.0ms	581×	3	valid
155.0ms	1 236×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 744.0ms (64.9% of total)

ival-div: 108.0ms (9.4% of total)

adjust: 101.0ms (8.8% of total)

ival-sub: 92.0ms (8% of total)

ival-mult: 86.0ms (7.5% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain197.0ms (2.4%)

Memory

-5.8MiB live, 312.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
71	70	(-1.518845514533967e-262)	2	(-1.9695603910690047e-158)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
68	0	-	1	(-1.9695603910690047e-158)	`(/.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	139	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	67	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	67
↳	`(*.f64 x x)`	underflow	67

Confusion

	Predicted +	Predicted -
+	131	2
-	8	115

Precision

0.9424460431654677

Recall

0.9849624060150376

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	1	1
-	8	5	110

Precision?

0.9103448275862069

Recall?

0.9924812030075187

Freqs

test

number	freq
0	117
1	72
2	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	148×	2	valid
23.0ms	256×	0	valid
10.0ms	88×	1	valid
8.0ms	20×	3	valid

Compiler

Compiled 88 to 37 computations (58% saved)

Precisions

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

ival-cos: 44.0ms (65.6% of total)

ival-div: 6.0ms (9% of total)

adjust: 6.0ms (9% of total)

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

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

ival-true: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

preprocess120.0ms (1.5%)

Memory

17.8MiB live, 56.4MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune4.0ms (0%)

Memory

-36.0MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify22.0ms (0.3%)

Memory

28.5MiB live, 28.5MiB 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)

localize58.0ms (0.7%)

Memory

-23.8MiB live, 62.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(cos.f64 x)
accuracy	14.854075664908672	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.43326179578562	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

27.0ms	74×	2	valid
10.0ms	128×	0	valid
7.0ms	10×	3	valid
6.0ms	44×	1	valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

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

ival-cos: 22.0ms (54% of total)

ival-div: 9.0ms (22.1% of total)

adjust: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.4% of total)

ival-mult: 2.0ms (4.9% 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

3.4MiB live, 3.4MiB 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)))

simplify223.0ms (2.7%)

Memory

27.3MiB live, 138.2MiB 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)

rewrite311.0ms (3.8%)

Memory

5.3MiB live, 237.8MiB 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 (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))))
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(-.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)))

eval102.0ms (1.3%)

Memory: -7.4MiB live, 111.7MiB allocated
Compiler: Compiled 13 688 to 1 661 computations (87.9% saved)

prune21.0ms (0.3%)

Memory

-17.7MiB live, 57.4MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	629	16	645
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	629	17	646

Accuracy

100.0%

Counts

646 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	51.0%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
▶	15.2%	(/.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)))
	21.3%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	15.2%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
	73.4%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	51.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
▶	50.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	15.4%	(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
▶	74.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	15.3%	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
▶	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 454 to 270 computations (40.5% saved)

simplify113.0ms (1.4%)

Memory

-9.9MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (cos.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	320	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	640	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	576	(-.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
cost-diff	6912	(/.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)))
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 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: 4 (0.0ms)

Iter	Nodes	Cost
0	31	172
0	51	161
1	101	152
2	285	147
3	2072	143
4	4153	141
5	6894	141
0	8151	141

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)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 x x)
x
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(/.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 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 x x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 x x)
x
(.f64 (.f64 x x) (cos.f64 x))
(cos.f64 x)
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)

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)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
#s(literal -1 binary64)
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(*.f64 x x)
x
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(/.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 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
(cos.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 x x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (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 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) x) x)
(cos.f64 x)
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)

localize627.0ms (7.7%)

Memory

-24.7MiB live, 323.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.1015625	(.f64 (.f64 x x) (cos.f64 x))
accuracy	15.069855620078597	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	44.50309156286145	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
accuracy	0.1015625	(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
accuracy	0.12728500976844204	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	16.64401038081499	(-.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
accuracy	44.39710740642332	(/.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)))
accuracy	0	(cos.f64 x)
accuracy	0.0703125	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
accuracy	14.854075664908672	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	16.820118298536695	(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	30.50270561696159	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.00390625	(sin.f64 x)
accuracy	0.18359375	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	15.897336027654049	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

358.0ms	128×	0	valid
163.0ms	74×	2	valid
18.0ms	44×	1	valid
9.0ms	10×	3	valid

Compiler

Compiled 344 to 62 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-sin: 32.0ms (23.9% of total)

ival-div: 28.0ms (20.9% of total)

ival-mult: 23.0ms (17.2% of total)

ival-cos: 21.0ms (15.7% of total)

adjust: 10.0ms (7.5% of total)

ival-sub: 9.0ms (6.7% of total)

ival-tan: 5.0ms (3.7% of total)

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

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series14.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

19 → 60

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))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.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 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(/.f64 (sin.f64 x) (*.f64 x x))
(cos.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (cos.f64 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))))))))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 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 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 2))
(* -1 x)
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ 1 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
(+ 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 (pow x 4))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (* (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 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(- (cos x) 1)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(/ (sin x) (pow x 2))
(cos x)
(* -1 (* (pow x 2) (cos x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

6.0ms

inf

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (neg x) x) (neg x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (sin x) (* x x)) (cos x) (* (* (neg x) x) (* x x)) (* (* (neg x) x) (cos x)))

5.0ms

-inf

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (neg x) x) (neg x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (sin x) (* x x)) (cos x) (* (* (neg x) x) (* x x)) (* (* (neg x) x) (cos x)))

3.0ms

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (neg x) x) (neg x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (sin x) (* x x)) (cos x) (* (* (neg x) x) (* x x)) (* (* (neg x) x) (cos x)))

simplify223.0ms (2.7%)

Memory

-13.1MiB live, 176.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	646
1	390	646
2	1005	627
3	3369	627
4	4782	627
5	7668	627
0	8101	564

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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))))))))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 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 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 2))
(* -1 x)
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ 1 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
(+ 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 (pow x 4))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (* (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 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(- (cos x) 1)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(/ (sin x) (pow x 2))
(cos x)
(* -1 (* (pow x 2) (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)
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 (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 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (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 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 4 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 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 4 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)))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(.f64 (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)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 x 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
#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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #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 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 x 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 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- (cos x) 1))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- 1 (cos x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (cos x))
(.f64 (.f64 (cos.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(cos x)
(cos.f64 x)
(* -1 (* (pow x 2) (cos x)))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))

rewrite61.0ms (0.8%)

Memory

26.1MiB live, 62.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	144
0	51	144
1	196	122
0	1416	122

Stop Event

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

Counts

19 → 316

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))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.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 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(/.f64 (sin.f64 x) (*.f64 x x))
(cos.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))

Outputs
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(.f64 (sin.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) 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 x (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (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))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(/.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)) (*.f64 (neg.f64 x) 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 (/.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)) (*.f64 x x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) 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)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 (neg.f64 x) 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 (/.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 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x 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 (/.f64 x (sin.f64 x))))
(sin.f64 x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
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eval107.0ms (1.3%)

Memory: -23.4MiB live, 108.4MiB allocated
Compiler: Compiled 9 062 to 1 276 computations (85.9% saved)

prune51.0ms (0.6%)

Memory

18.9MiB live, 57.6MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	446	17	463
Fresh	4	7	11
Picked	2	3	5
Done	0	1	1
Total	452	28	480

Accuracy

100.0%

Counts

480 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	15.5%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	27.6%	(/.f64 (/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	27.6%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	51.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	51.0%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	15.2%	(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	15.1%	(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	73.4%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	73.5%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
	15.1%	(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
	51.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
✓	50.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	50.4%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	77.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
	15.3%	(.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
▶	15.7%	(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
▶	99.8%	(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
✓	15.3%	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
	74.2%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
▶	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
✓	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 724 to 452 computations (37.6% saved)

simplify131.0ms (1.6%)

Memory

-2.9MiB live, 78.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	0	(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
cost-diff	320	(fma.f64 x x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))
cost-diff	640	(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
cost-diff	0	(.f64 (.f64 (cos.f64 x) x) x)
cost-diff	0	(neg.f64 x)
cost-diff	320	(fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x))
cost-diff	6528	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
cost-diff	384	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #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(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) x)
cost-diff	0	(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	194
0	58	184
1	106	181
2	220	173
3	628	169
4	2026	167
5	4485	167
6	6180	167
7	7196	167
8	7748	167
0	8045	167

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (3%)

Memory

9.4MiB live, 326.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
accuracy	0.12109375	(*.f64 (cos.f64 x) x)
accuracy	21.96799873491913	(fma.f64 x x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))
accuracy	44.50309156286145	(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
accuracy	0.12109375	(*.f64 (cos.f64 x) x)
accuracy	0.12728500976844204	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	21.96799873491913	(fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x))
accuracy	44.39710740642332	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
accuracy	0.08203125	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
accuracy	14.854075664908672	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.909907358772044	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	31.252219961311066	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.00390625	(sin.f64 x)
accuracy	0.1015625	(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
accuracy	0.10546875	(/.f64 (sin.f64 x) x)
accuracy	0.1328125	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)

Samples

110.0ms	74×	2	valid
67.0ms	128×	0	valid
30.0ms	44×	1	valid
10.0ms	10×	3	valid

Compiler

Compiled 388 to 68 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-cos: 54.0ms (29.2% of total)

ival-sin: 31.0ms (16.8% of total)

ival-mult: 27.0ms (14.6% of total)

ival-div: 25.0ms (13.5% of total)

adjust: 17.0ms (9.2% of total)

ival-add: 14.0ms (7.6% of total)

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

const: 4.0ms (2.2% of total)

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

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

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series46.0ms (0.6%)

Memory

-5.4MiB live, 30.5MiB allocated

Counts

20 → 65

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
1
(+ 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))))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(pow x 2)
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -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))))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* 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 (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) x)
(sin x)
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (pow x 2) (- 1 (cos x)))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 2) (cos x)))
(* x (cos x))

Calls

3 calls:

Time

Variable

Point

Expression

36.0ms

inf

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

7.0ms

-inf

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

2.0ms

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

simplify190.0ms (2.3%)

Memory

-5.9MiB live, 192.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	701
1	438	701
2	1059	677
3	3294	677
4	4645	677
5	6690	677
0	8156	607

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

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
(+ 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))))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(pow x 2)
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -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))))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* 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 (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) x)
(sin x)
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (pow x 2) (- 1 (cos x)))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 2) (cos x)))
(* x (cos x))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (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
#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)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 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 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.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) (+ 1/2 (* -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)
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (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 4 binary64)))
(* (pow x 4) (- (* (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 4 binary64)))
(* -1 x)
(neg.f64 x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 x x)))
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 4 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 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 4 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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (.f64 (neg.f64 x) x)))
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(/ (pow x 2) (- 1 (cos x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* (pow x 2) (- (cos x) 1))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (cos x))
(.f64 (.f64 (cos.f64 x) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (cos x)))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
(* x (cos x))
(*.f64 (cos.f64 x) x)

rewrite201.0ms (2.5%)

Memory

-0.7MiB live, 247.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	58	140
1	210	128
2	1429	128
0	8813	128

Stop Event

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

Counts

20 → 1 741

Calls

Call 1

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

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

eval190.0ms (2.3%)

Memory: 2.4MiB live, 188.1MiB allocated
Compiler: Compiled 25 135 to 3 381 computations (86.5% saved)

prune67.0ms (0.8%)

Memory

5.2MiB live, 81.5MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1 167	8	1 175
Fresh	5	14	19
Picked	2	3	5
Done	0	4	4
Total	1 174	29	1 203

Accuracy

100.0%

Counts

1 203 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	15.5%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	27.6%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
▶	51.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	51.0%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
▶	15.1%	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	15.2%	(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	73.4%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	15.1%	(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	99.8%	(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x)))
	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 x x))))
✓	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
	51.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	77.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
✓	50.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	50.4%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	44.3%	(*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal -3 binary64)))
	15.7%	(.f64 (fma.f64 x x (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
✓	99.8%	(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
✓	15.3%	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
	74.2%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
✓	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
✓	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 696 to 438 computations (37.1% saved)

simplify271.0ms (3.3%)

Memory

-13.7MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
cost-diff	320	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	1664	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	0	(.f64 (.f64 (cos.f64 x) x) x)
cost-diff	320	(-.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))
cost-diff	6912	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	1088	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	202
0	56	183
1	116	171
2	314	161
3	1215	161
4	2865	161
5	6072	161
6	7503	161
0	8008	161

Stop Event

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

Calls

Call 1

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

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

localize441.0ms (5.4%)

Memory

1.5MiB live, 250.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 (.f64 x x) (cos.f64 x))
accuracy	15.069855620078597	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	16.43326179578562	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
accuracy	36.28728903789424	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
accuracy	0.12109375	(*.f64 (cos.f64 x) x)
accuracy	0.12728500976844204	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	16.64401038081499	(-.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))
accuracy	44.39710740642332	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
accuracy	0	(cos.f64 x)
accuracy	0.07259750976844202	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
accuracy	14.854075664908672	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.920567626882113	(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	14.854075664908672	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	16.43326179578562	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	27.99956484103181	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 x)
accuracy	0.05859375	(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
accuracy	0.0859375	(.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
accuracy	0.13671875	(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))

Samples

194.0ms	74×	2	valid
86.0ms	10×	3	valid
84.0ms	44×	1	valid
38.0ms	128×	0	valid

Compiler

Compiled 400 to 62 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-cos: 120.0ms (43.2% of total)

ival-mult: 94.0ms (33.9% of total)

ival-div: 21.0ms (7.6% of total)

adjust: 20.0ms (7.2% of total)

ival-sub: 9.0ms (3.2% of total)

ival-sin: 6.0ms (2.2% of total)

ival-tan: 5.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series12.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

22 → 63

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
(sin.f64 x)
(.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(-.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))
(.f64 (.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(cos.f64 x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(.f64 (.f64 x x) (cos.f64 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))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(/ -1 x)
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ x (- (cos x) 1))
(- (cos x) 1)
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(* x (cos x))
(* (pow x 2) (- 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))) x) (/ x (tan (* 1/2 x))) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ (/ -1 x) (/ x (- (cos x) 1))) (/ -1 x) (/ x (- (cos x) 1)) (- (cos x) 1) (/ (- (* (* (cos x) x) x) (* x x)) (* (* (neg x) x) (* x x))) (- (* (* (cos x) x) x) (* x x)) (* (* (cos x) x) x) (* (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (cos x) (* (* (neg x) x) (* x x)) (* (* x x) (cos x)))

4.0ms

inf

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

2.0ms

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

simplify179.0ms (2.2%)

Memory

10.4MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	692
1	384	692
2	918	674
3	3105	668
4	4325	668
5	7301	668
0	8387	596

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(/ -1 x)
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ x (- (cos x) 1))
(- (cos x) 1)
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(* x (cos x))
(* (pow x 2) (- 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/6 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal -1/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.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))
(pow x 2)
(*.f64 x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -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 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (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 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (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 x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 x x)))
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 4 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 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 4 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 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(sin x)
(sin.f64 x)
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(.f64 (/.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.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)
(/ x (- (cos x) 1))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(* (pow x 2) (- (cos x) 1))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (cos x))
(.f64 (.f64 (cos.f64 x) x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* (pow x 2) (- 1 (cos x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite236.0ms (2.9%)

Memory

-52.2MiB live, 293.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	170
0	56	151
1	226	132
2	1620	129
0	8624	129

Stop Event

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

Counts

22 → 1 851

Calls

Call 1

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

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

eval168.0ms (2.1%)

Memory: 46.9MiB live, 272.2MiB allocated
Compiler: Compiled 30 225 to 3 553 computations (88.2% saved)

prune92.0ms (1.1%)

Memory

-14.8MiB live, 110.7MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	1 277	9	1 286
Fresh	5	12	17
Picked	2	3	5
Done	1	6	7
Total	1 285	30	1 315

Accuracy

100.0%

Counts

1 315 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	15.5%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	27.6%	(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) (neg.f64 x) (.f64 x x)) (.f64 x x)) (.f64 x x))
	27.7%	(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
	28.4%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) x) x) (neg.f64 x)) (*.f64 x x))
✓	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	27.6%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	51.1%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64))))
	77.4%	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
	51.0%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	15.1%	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
	15.2%	(/.f64 (-.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	43.0%	(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	51.2%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
	73.4%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
✓	99.8%	(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 x x))))
✓	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
	51.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	77.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
✓	50.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	50.4%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
✓	15.3%	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
	74.2%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
✓	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
✓	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 171 to 435 computations (62.9% saved)

regimes33.0ms (0.4%)

Memory

15.3MiB live, 50.7MiB 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 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 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) (neg.f64 x) (.f64 x 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 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) x) x) (neg.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal -3 binary64)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x 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)) (*.f64 x x)))

Outputs
(/.f64 (sin.f64 x) (.f64 (/.f64 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)

regimes53.0ms (0.7%)

Memory

-26.4MiB live, 62.9MiB allocated

Counts

48 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 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 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) (neg.f64 x) (.f64 x 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 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) x) x) (neg.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal -3 binary64)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

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

Calls

2 calls:

31.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
20.0ms	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)

regimes29.0ms (0.4%)

Memory

22.0MiB live, 59.1MiB allocated

Counts

46 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 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 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) (neg.f64 x) (.f64 x 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 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) x) x) (neg.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal -3 binary64)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))

Calls

2 calls:

15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.6%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes29.0ms (0.4%)

Memory

-8.3MiB live, 78.0MiB allocated

Counts

44 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 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 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 (.f64 (cos.f64 x) x) (neg.f64 x) (.f64 x 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 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) x) x) (neg.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal -3 binary64)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x x (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))

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

2 calls:

14.0ms	x
13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.5%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.5%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

-30.2MiB live, 8.3MiB allocated

Counts

7 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #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

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

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

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -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
77.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
77.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

-16.9MiB live, 21.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

2 calls:

3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2.0ms	x

Results

Accuracy	Segments	Branch
52.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
74.7%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Accuracy

Total -0.9b remaining (-2.8%)

Threshold costs -0.9b (-2.8%)

Counts

2 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
52.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch8.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	2.8076499558694395e-8	2.3586477717722464e-7

Samples

5.0ms

48×

valid

Compiler

Compiled 89 to 73 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

adjust: 1.0ms (31.3% of total)

ival-sub: 1.0ms (31.3% of total)

ival-div: 1.0ms (31.3% of total)

ival-cos: 1.0ms (31.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

-12.1MiB live, 26.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00013665539327142818	1919.3485522057908

Samples

10.0ms

144×

valid

Compiler

Compiled 218 to 181 computations (17% saved)

Precisions

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

ival-sub: 4.0ms (56.5% of total)

ival-cos: 2.0ms (28.3% 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

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00013665539327142818	1919.3485522057908

Compiler

Compiled 218 to 181 computations (17% saved)

bsearch16.0ms (0.2%)

Memory

-19.1MiB live, 27.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.305649852666807e+75	1.915690555007037e+76

Samples

12.0ms

96×

valid

Compiler

Compiled 131 to 112 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 8.0ms (83.5% of total)

ival-sub: 1.0ms (10.4% of total)

ival-div: 1.0ms (10.4% of total)

ival-mult: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify24.0ms (0.3%)

Memory

15.4MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	157
1	60	157
2	66	157
3	70	157
4	72	157

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 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 1152921504606847/288230376151711744 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)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 19000000000000001215530164274001977302355661143179118956570146872865241169920 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 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 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 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (sin.f64 x)))
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 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 1152921504606847/288230376151711744 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)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 19000000000000001215530164274001977302355661143179118956570146872865241169920 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))

soundness1.4s (16.8%)

Memory

3.2MiB live, 473.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	646
1	390	646
2	1005	627
3	3369	627
4	4782	627
5	7668	627
0	8101	564
0	34	155
0	58	140
1	210	128
2	1429	128
0	8813	128
0	31	144
0	51	144
1	196	122
0	1416	122
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 370 to 175 computations (52.7% saved)

preprocess93.0ms (1.1%)

Memory: 11.7MiB live, 48.9MiB allocated
Remove: (abs x)
Compiler: Compiled 374 to 144 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (20.9%)

explain197.0ms (2.4%)

preprocess120.0ms (1.5%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify22.0ms (0.3%)

localize58.0ms (0.7%)

series3.0ms (0%)

simplify223.0ms (2.7%)

rewrite311.0ms (3.8%)

eval102.0ms (1.3%)

prune21.0ms (0.3%)

simplify113.0ms (1.4%)

localize627.0ms (7.7%)

series14.0ms (0.2%)

simplify223.0ms (2.7%)

rewrite61.0ms (0.8%)

eval107.0ms (1.3%)

prune51.0ms (0.6%)

simplify131.0ms (1.6%)

localize246.0ms (3%)

series46.0ms (0.6%)

simplify190.0ms (2.3%)

rewrite201.0ms (2.5%)

eval190.0ms (2.3%)

prune67.0ms (0.8%)

simplify271.0ms (3.3%)

localize441.0ms (5.4%)

series12.0ms (0.2%)

simplify179.0ms (2.2%)

rewrite236.0ms (2.9%)

eval168.0ms (2.1%)

prune92.0ms (1.1%)

regimes33.0ms (0.4%)

regimes53.0ms (0.7%)

regimes29.0ms (0.4%)

regimes29.0ms (0.4%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch8.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

simplify24.0ms (0.3%)

soundness1.4s (16.8%)

preprocess93.0ms (1.1%)

end0.0ms (0%)

Profiling