Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.6s (19.8%)

Memory

69.6MiB live, 1 688.4MiB allocated

Samples

635.0ms	2 266×	2	valid
354.0ms	4 146×	0	valid
200.0ms	571×	3	valid
136.0ms	1 273×	1	valid

Precisions

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

ival-cos: 706.0ms (63.7% of total)

ival-div: 133.0ms (12% of total)

adjust: 101.0ms (9.1% of total)

ival-sub: 90.0ms (8.1% of total)

ival-mult: 63.0ms (5.7% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

explain191.0ms (2.3%)

Memory

-31.0MiB live, 162.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
87	1	(9.626464150492208e-162)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
53	0	-	3	(-1.9817562120845724e-161)	`(/.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	88	5
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	49	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	49
↳	`(*.f64 x x)`	underflow	49
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	1	0
↳	`(*.f64 x x)`	overflow	59

Confusion

	Predicted +	Predicted -
+	136	0
-	2	118

Precision

0.9855072463768116

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	2	5	113

Precision?

0.951048951048951

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	104×	1	valid
34.0ms	136×	2	valid
20.0ms	244×	0	valid
10.0ms	28×	3	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-cos: 58.0ms (73.3% of total)

ival-div: 6.0ms (7.6% of total)

adjust: 6.0ms (7.6% of total)

ival-sub: 5.0ms (6.3% of total)

ival-mult: 4.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess58.0ms (0.7%)

Memory

9.9MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	32	17
2	102	16
3	300	16
4	772	16
5	1212	16
6	1321	16
7	1337	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	324	8
8	629	8
9	1047	8
10	1179	8
0	1179	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify49.0ms (0.6%)

Memory

-50.7MiB live, 39.7MiB 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	324	19
8	629	19
9	1047	19
10	1179	19
0	1179	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)

localize45.0ms (0.5%)

Memory

15.1MiB live, 53.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	12.460718096208124	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy	19.573208796419397	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

17.0ms	68×	2	valid
11.0ms	122×	0	valid
6.0ms	52×	1	valid
5.0ms	14×	3	valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 18.0ms (64% of total)

ival-div: 3.0ms (10.7% of total)

adjust: 3.0ms (10.7% of total)

ival-sub: 3.0ms (10.7% of total)

ival-mult: 2.0ms (7.1% 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

3.1MiB live, 3.1MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

simplify215.0ms (2.6%)

Memory

3.1MiB live, 155.8MiB 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	1292	153
5	2005	153
6	2548	153
7	3421	153
8	4978	153
9	6603	153
10	7491	153
11	7702	153
12	7720	153
13	7722	153
0	8142	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)

rewrite180.0ms (2.2%)

Memory

26.2MiB live, 252.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	40	17
2	270	17
3	2843	17
0	9915	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 (+.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)))
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(-.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)))

eval97.0ms (1.2%)

Memory: -2.6MiB live, 87.4MiB allocated
Compiler: Compiled 13 688 to 1 661 computations (87.9% saved)

prune26.0ms (0.3%)

Memory

-10.2MiB live, 61.8MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	626	19	645
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	626	20	646

Accuracy

100.0%

Counts

646 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	79.7%	(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x))
	18.2%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
▶	40.5%	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	10.2%	(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))))))
	79.8%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	48.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	48.3%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	48.3%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
	14.0%	(-.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))))
	17.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
▶	80.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
▶	54.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 638 to 368 computations (42.3% saved)

simplify134.0ms (1.6%)

Memory

-9.6MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(*.f64 x (cos.f64 x))
cost-diff	0	(-.f64 x (*.f64 x (cos.f64 x)))
cost-diff	6080	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
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	1664	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
cost-diff	0	(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	384	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	189
0	53	197
1	106	171
2	233	165
3	585	165
4	1730	165
5	3740	165
6	5324	165
0	8286	165

Stop Event

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

Calls

Call 1

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

localize172.0ms (2.1%)

Memory

-1.7MiB live, 198.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.09375	(*.f64 x (cos.f64 x))
accuracy	13.762643461799305	(-.f64 x (*.f64 x (cos.f64 x)))
accuracy	23.605700163382924	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.078125	(.f64 (.f64 x x) (cos.f64 x))
accuracy	12.460718096208124	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
accuracy	15.438115446871883	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	35.46832445065527	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
accuracy	0.029628759768442016	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
accuracy	0.0625	(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
accuracy	29.878380039563307	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	29.126069282776882	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.174160009768442	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	12.234050423451693	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

61.0ms	68×	2	valid
38.0ms	122×	0	valid
27.0ms	52×	1	valid
18.0ms	14×	3	valid

Compiler

Compiled 367 to 65 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-cos: 24.0ms (21.8% of total)

ival-div: 19.0ms (17.3% of total)

ival-mult: 17.0ms (15.5% of total)

adjust: 12.0ms (10.9% of total)

const: 12.0ms (10.9% of total)

ival-sub: 7.0ms (6.4% of total)

ival-sin: 6.0ms (5.5% of total)

ival-tan: 5.0ms (4.5% of total)

ival-add: 5.0ms (4.5% of total)

ival-pow: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series13.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

18 → 66

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
(/.f64 (-.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 x x) (cos.f64 x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.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)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
1/720
(+ 1/720 (* -1/40320 (pow x 2)))
(* 1/2 (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) (+ 1/2 (* -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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1
(+ 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 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)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 2))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(- 1 (cos x))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(* x (- 1 (cos x)))
(* x (cos x))
(cos x)
(/ (sin x) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* x (+ 1 (* -1 (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 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (- x (* x (cos x))) (pow x 3)) (- x (* x (cos x))) (* x (cos x)) (cos x) (/ (sin x) (* x x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))
4.0ms	x	@	inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (- x (* x (cos x))) (pow x 3)) (- x (* x (cos x))) (* x (cos x)) (cos x) (/ (sin x) (* x x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))
2.0ms	x	@	0	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (- x (* x (cos x))) (pow x 3)) (- x (* x (cos x))) (* x (cos x)) (cos x) (/ (sin x) (* x x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x 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 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (- x (* x (cos x))) (pow x 3)) (- x (* x (cos x))) (* x (cos x)) (cos x) (/ (sin x) (* x x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))

4.0ms

inf

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (- x (* x (cos x))) (pow x 3)) (- x (* x (cos x))) (* x (cos x)) (cos x) (/ (sin x) (* x x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))

2.0ms

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (- x (* x (cos x))) (pow x 3)) (- x (* x (cos x))) (* x (cos x)) (cos x) (/ (sin x) (* x x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))

simplify186.0ms (2.2%)

Memory

21.4MiB live, 130.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	700
1	396	682
2	976	682
3	3044	682
4	4340	682
5	6702	678
0	8139	609

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
1/720
(+ 1/720 (* -1/40320 (pow x 2)))
(* 1/2 (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) (+ 1/2 (* -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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1
(+ 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 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)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 2))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(- 1 (cos x))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(* x (- 1 (cos x)))
(* x (cos x))
(cos x)
(/ (sin x) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* x (+ 1 (* -1 (cos x))))

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

rewrite234.0ms (2.8%)

Memory

-12.4MiB live, 228.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	164
0	53	156
1	226	144
2	1609	140
0	8447	140

Stop Event

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

Counts

18 → 1 021

Calls

Call 1

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

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

eval163.0ms (2%)

Memory: 24.5MiB live, 214.6MiB allocated
Compiler: Compiled 24 669 to 3 107 computations (87.4% saved)

prune33.0ms (0.4%)

Memory

-1.2MiB live, 82.0MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	972	11	983
Fresh	9	5	14
Picked	3	2	5
Done	0	1	1
Total	984	19	1 003

Accuracy

100.0%

Counts

1 003 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.5%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) (.f64 (cos.f64 x) x) (.f64 x x)) (.f64 x x)) (.f64 x x))
▶	25.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x)) (*.f64 x x))
	2.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
	48.3%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
	49.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	79.8%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
▶	13.7%	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
▶	99.7%	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))
	48.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	14.0%	(-.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))))
	17.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	80.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	48.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
✓	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
▶	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	54.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 609 to 337 computations (44.7% saved)

simplify117.0ms (1.4%)

Memory

-21.6MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	320	(-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (*.f64 x x) (cos.f64 x)))))
cost-diff	1664	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x))
cost-diff	2048	(/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x)))
cost-diff	0	(-.f64 x (*.f64 (cos.f64 x) x))
cost-diff	0	(.f64 x (-.f64 x (.f64 (cos.f64 x) x)))
cost-diff	256	(neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff	6400	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
cost-diff	0	(cos.f64 x)
cost-diff	0	(+.f64 #s(literal -1 binary64) (cos.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x (/.f64 x (sin.f64 x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	295
0	72	253
1	158	221
2	448	211
3	2942	211
4	7037	211
0	8041	205

Stop Event

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

Calls

Call 1

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

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

localize219.0ms (2.6%)

Memory

28.4MiB live, 303.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.460718096208124	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x)) (*.f64 x x))
accuracy	15.438115446871883	(-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (*.f64 x x) (cos.f64 x)))))
accuracy	26.466207888225497	(/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x)))
accuracy	35.46832445065527	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x))
accuracy	0.09375	(*.f64 (cos.f64 x) x)
accuracy	0.1640625	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	13.762643461799305	(-.f64 x (*.f64 (cos.f64 x) x))
accuracy	43.59114193917914	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
accuracy	0.0	(cos.f64 x)
accuracy	0.22463671871115612	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	13.215275461013587	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
accuracy	19.573208796419397	(+.f64 #s(literal -1 binary64) (cos.f64 x))
accuracy	0.0	(*.f64 x x)
accuracy	0.029628759768442016	(fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	29.28181182672118	#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
accuracy	29.878380039563307	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.07421875	(*.f64 x (/.f64 x (sin.f64 x)))
accuracy	0.12109375	(/.f64 x (sin.f64 x))
accuracy	0.15748205508563534	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))

Samples

70.0ms	67×	2	valid
48.0ms	53×	1	valid
46.0ms	122×	0	valid
15.0ms	14×	3	valid

Compiler

Compiled 568 to 86 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 32.0ms (21.3% of total)

ival-div: 22.0ms (14.7% of total)

ival-cos: 20.0ms (13.3% of total)

ival-add: 20.0ms (13.3% of total)

adjust: 15.0ms (10% of total)

ival-tan: 14.0ms (9.3% of total)

const: 12.0ms (8% of total)

ival-sub: 7.0ms (4.7% of total)

ival-sin: 5.0ms (3.3% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-23.1MiB live, 25.6MiB allocated

Counts

24 → 71

Calls

Call 1

Inputs
(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (/.f64 x (sin.f64 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
(*.f64 x x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(.f64 x (-.f64 x (.f64 (cos.f64 x) x)))
(-.f64 x (*.f64 (cos.f64 x) x))
(/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (*.f64 x x) (cos.f64 x)))))
(/.f64 x (sin.f64 x))
(sin.f64 x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (cos.f64 x) x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.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)))
(* 1/2 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))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(pow x 2)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
1
(+ 1 (* -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 4)
(* 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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(* 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 (pow x 2))
(* -1 (pow x 4))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (pow x 2) (sin x))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(- (cos x) 1)
(cos x)
(* (pow x 2) (- 1 (cos x)))
(* x (- 1 (cos x)))
(- 1 (cos x))
(/ x (sin x))
(sin x)
(* x (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

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

5.0ms

-inf

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

5.0ms

inf

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

simplify130.0ms (1.6%)

Memory

9.6MiB live, 118.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	751
1	471	733
2	1199	733
3	2446	733
4	4824	733
5	5864	729
0	8238	656

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(pow x 2)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
1
(+ 1 (* -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 4)
(* 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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(* 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 (pow x 2))
(* -1 (pow x 4))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (pow x 2) (sin x))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(- (cos x) 1)
(cos x)
(* (pow x 2) (- 1 (cos x)))
(* x (- 1 (cos x)))
(- 1 (cos x))
(/ x (sin x))
(sin x)
(* x (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #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)
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) (+ 1/6 (* 7/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(pow x 2)
(*.f64 x x)
(* -1/2 (pow x 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
#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 4)
(pow.f64 x #s(literal 4 binary64))
(* 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 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)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 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)) (pow.f64 x #s(literal 3 binary64)) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* 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)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (pow x 2) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x)
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(* (pow x 2) (- 1 (cos x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (+ 1 (* -1 (cos x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)

rewrite243.0ms (2.9%)

Memory

5.4MiB live, 241.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	247
0	72	205
1	301	170
2	2263	170
0	8717	164

Stop Event

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

Counts

24 → 1 535

Calls

Call 1

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

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

eval195.0ms (2.3%)

Memory: -4.1MiB live, 186.1MiB allocated
Compiler: Compiled 28 461 to 3 766 computations (86.8% saved)

prune56.0ms (0.7%)

Memory

-6.4MiB live, 82.2MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1 155	11	1 166
Fresh	3	8	11
Picked	1	4	5
Done	0	3	3
Total	1 159	26	1 185

Accuracy

100.0%

Counts

1 185 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(/.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (.f64 x (.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))) (.f64 x x))
	14.2%	(/.f64 (fma.f64 (neg.f64 x) (.f64 (cos.f64 x) x) (.f64 x x)) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
✓	25.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x)) (*.f64 x x))
▶	2.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
▶	48.3%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
	49.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	49.1%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)
	13.7%	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
	1.6%	(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x))))
✓	99.7%	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))
	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
	48.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	17.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	80.1%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
▶	80.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	48.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (/.f64 x (.f64 x x)) (.f64 (cos.f64 x) x) #s(literal -1 binary64)))
▶	48.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (.f64 (/.f64 x (.f64 x x)) (cos.f64 x)) x #s(literal -1 binary64)))
	48.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 x (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)) #s(literal -1 binary64)))
✓	48.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
	32.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (+ -1 (cos x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	54.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 737 to 430 computations (41.7% saved)

simplify114.0ms (1.4%)

Memory

-0.3MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	320	(/.f64 x (*.f64 x x))
cost-diff	320	(.f64 (/.f64 x (.f64 x x)) (cos.f64 x))
cost-diff	896	(fma.f64 (.f64 (/.f64 x (.f64 x x)) (cos.f64 x)) x #s(literal -1 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	0	(-.f64 x (*.f64 (cos.f64 x) x))
cost-diff	1024	(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
cost-diff	320	(-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))
cost-diff	1664	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (*.f64 x x))
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	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	384	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	242
0	57	237
1	124	204
2	313	190
3	804	190
4	2328	190
5	5531	190
0	8207	190

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (2.3%)

Memory

34.3MiB live, 309.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22463671871115612	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	13.215275461013587	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (.f64 (/.f64 x (.f64 x x)) (cos.f64 x)) x #s(literal -1 binary64)))
accuracy	25.822572193972267	(/.f64 x (*.f64 x x))
accuracy	32.602310741133394	(fma.f64 (.f64 (/.f64 x (.f64 x x)) (cos.f64 x)) x #s(literal -1 binary64))
accuracy	0.09375	(*.f64 (cos.f64 x) x)
accuracy	5.841311374407662	(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
accuracy	12.460718096208124	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
accuracy	13.762643461799305	(-.f64 x (*.f64 (cos.f64 x) x))
accuracy	12.460718096208124	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
accuracy	15.438115446871883	(-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))
accuracy	29.591866889935883	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	35.46832445065527	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	12.460718096208124	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	19.573208796419397	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	27.203961189911045	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(sin.f64 x)
accuracy	0.174160009768442	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	12.234050423451693	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

61.0ms	122×	0	valid
48.0ms	68×	2	valid
36.0ms	52×	1	valid
13.0ms	14×	3	valid

Compiler

Compiled 448 to 63 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 35.0ms (27.2% of total)

ival-add: 24.0ms (18.7% of total)

ival-cos: 21.0ms (16.3% of total)

ival-mult: 20.0ms (15.6% of total)

adjust: 10.0ms (7.8% of total)

ival-sub: 7.0ms (5.4% of total)

ival-sin: 6.0ms (4.7% of total)

ival-tan: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

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

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

series16.0ms (0.2%)

Memory

-6.2MiB live, 29.5MiB allocated

Counts

22 → 60

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1/2 (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 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ -1 (pow x 2))
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(* (pow x 2) (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (cos x))
(- (cos x) 1)
(/ (cos x) x)
(/ (sin x) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(+ 1 (* -1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify625.0ms (7.5%)

Memory

9.7MiB live, 253.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	643
1	364	631
2	905	631
3	2769	631
4	3741	631
5	4811	631
6	7116	631
0	8101	565

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

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

rewrite281.0ms (3.4%)

Memory

-4.3MiB live, 195.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	196
0	57	196
1	227	158
2	1729	154
0	8402	152

Stop Event

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

Counts

22 → 1 111

Calls

Call 1

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

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

eval350.0ms (4.2%)

Memory: 15.6MiB live, 208.7MiB allocated
Compiler: Compiled 30 937 to 3 525 computations (88.6% saved)

prune139.0ms (1.7%)

Memory

-46.2MiB live, 123.6MiB allocated

Pruning

35 alts after pruning (24 fresh and 11 done)

	Pruned	Kept	Total
New	1 270	15	1 285
Fresh	5	9	14
Picked	1	4	5
Done	0	7	7
Total	1 276	35	1 311

Accuracy

100.0%

Counts

1 311 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(/.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x (.f64 x (.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))) (.f64 x x))
	14.2%	(/.f64 (fma.f64 (neg.f64 x) (.f64 (cos.f64 x) x) (.f64 x x)) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
	48.4%	(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) x) (*.f64 x x))
✓	25.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))) (.f64 x x)) (*.f64 x x))
✓	2.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
	2.9%	(/.f64 (/.f64 (-.f64 x (/.f64 (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x x)) x)) x) (.f64 x x))
✓	48.3%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
	49.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	2.3%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 x x)) (*.f64 x x))
	2.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) #s(literal 1 binary64)))) (.f64 x x))
	2.3%	(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 x (.f64 (neg.f64 x) x)))
	1.6%	(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	2.8%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (.f64 (neg.f64 x) x) x))
	25.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	49.1%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)
	13.7%	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
✓	99.7%	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))
	40.5%	(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (*.f64 x x) (neg.f64 x)))
	48.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	17.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	80.1%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
✓	80.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	48.6%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64)))
	48.5%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
	26.1%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 #s(approx (* (/ x (* x x)) (cos x)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64)))
✓	48.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
	32.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (+ (* (* (/ x (* x x)) (cos x)) x) -1) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
	3.5%	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
	1.6%	(.f64 (neg.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 (neg.f64 x) x))))
✓	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	53.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	54.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 646 to 602 computations (63.4% saved)

regimes32.0ms (0.4%)

Memory

22.0MiB live, 59.3MiB allocated

Counts

57 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.4%)

Memory

11.0MiB live, 53.8MiB allocated

Counts

53 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
13.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.0%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes12.0ms (0.1%)

Memory

-20.4MiB live, 17.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

6.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-13.3MiB live, 25.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
77.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
54.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch17.0ms (0.2%)

Memory

-13.1MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.7191090421030916e-8	0.18509829652333729

Samples

10.0ms

144×

valid

Compiler

Compiled 236 to 190 computations (19.5% saved)

Precisions

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

ival-cos: 4.0ms (56.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.7191090421030916e-8	0.18509829652333729

Compiler

Compiled 218 to 181 computations (17% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.7191090421030916e-8	0.18509829652333729

Compiler

Compiled 218 to 181 computations (17% saved)

bsearch18.0ms (0.2%)

Memory

-14.2MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.223691379167317e+22	5.048826525348208e+24

Samples

8.0ms

112×

valid

Compiler

Compiled 298 to 206 computations (30.9% saved)

Precisions

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

ival-cos: 4.0ms (66.7% of total)

ival-sub: 1.0ms (16.7% of total)

ival-div: 1.0ms (16.7% of total)

ival-mult: 1.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

-14.3MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.640889802406777e+50	8.126966400498109e+51

Samples

7.0ms

96×

valid

Compiler

Compiled 155 to 124 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (60.6% of total)

ival-div: 1.0ms (20.2% of total)

ival-mult: 1.0ms (20.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

35.2MiB live, 35.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.2263017729315135e+72	4.5628490045679275e+77

Samples

10.0ms

144×

valid

Compiler

Compiled 191 to 163 computations (14.7% saved)

Precisions

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

ival-cos: 5.0ms (66.4% of total)

ival-sub: 1.0ms (13.3% of total)

ival-div: 1.0ms (13.3% of total)

ival-mult: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify78.0ms (0.9%)

Memory

-14.5MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	201
1	84	199
2	121	197
3	161	197
4	341	197
5	1045	197
6	2401	197
7	4065	197
8	5535	197

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 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 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 35000000000000002097152 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 #s(approx (* (/ x (* x x)) (cos x)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 5799999999999999694835903154314267682716496907206656 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 111999999999999994986331580283874830516910144784665608417822386580986248822784 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 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (sin.f64 x))))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 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 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 35000000000000002097152 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 #s(approx (* (/ x (* x x)) (cos x)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 35000000000000002097152 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 #s(approx (* (/ x (* x x)) (cos x)) (pow.f64 x #s(literal -1 binary64))) x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 5799999999999999694835903154314267682716496907206656 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 111999999999999994986331580283874830516910144784665608417822386580986248822784 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))

soundness1.8s (22%)

Memory

-15.7MiB live, 878.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	247
0	72	205
1	301	170
2	2263	170
0	8717	164
0	6	17
0	10	17
1	40	17
2	270	17
3	2843	17
0	9915	17
0	129	643
1	364	631
2	905	631
3	2769	631
4	3741	631
5	4811	631
6	7116	631
0	8101	565
0	42	153
1	105	153
2	258	153
3	609	153
4	1292	153
5	2005	153
6	2548	153
7	3421	153
8	4978	153
9	6603	153
10	7491	153
11	7702	153
12	7720	153
13	7722	153
0	8142	135
0	32	164
0	53	156
1	226	144
2	1609	140
0	8447	140
0	31	196
0	57	196
1	227	158
2	1729	154
0	8402	152

Stop Event

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

Compiler

Compiled 437 to 204 computations (53.3% saved)

preprocess84.0ms (1%)

Memory: 26.3MiB live, 63.5MiB allocated
Compiler: Compiled 476 to 174 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (19.8%)

explain191.0ms (2.3%)

preprocess58.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify49.0ms (0.6%)

localize45.0ms (0.5%)

series3.0ms (0%)

simplify215.0ms (2.6%)

rewrite180.0ms (2.2%)

eval97.0ms (1.2%)

prune26.0ms (0.3%)

simplify134.0ms (1.6%)

localize172.0ms (2.1%)

series13.0ms (0.2%)

simplify186.0ms (2.2%)

rewrite234.0ms (2.8%)

eval163.0ms (2%)

prune33.0ms (0.4%)

simplify117.0ms (1.4%)

localize219.0ms (2.6%)

series18.0ms (0.2%)

simplify130.0ms (1.6%)

rewrite243.0ms (2.9%)

eval195.0ms (2.3%)

prune56.0ms (0.7%)

simplify114.0ms (1.4%)

localize188.0ms (2.3%)

series16.0ms (0.2%)

simplify625.0ms (7.5%)

rewrite281.0ms (3.4%)

eval350.0ms (4.2%)

prune139.0ms (1.7%)

regimes32.0ms (0.4%)

regimes31.0ms (0.4%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify78.0ms (0.9%)

soundness1.8s (22%)

preprocess84.0ms (1%)

end0.0ms (0%)

Profiling