Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.0s (42.6%)

Memory

44.7MiB live, 4 709.4MiB allocated

Samples

3.0s	5 683×	2	valid
498.0ms	2 424×	1	valid
10.0ms	149×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-sin: 2.3s (73% of total)

adjust: 285.0ms (9.2% of total)

ival-sub: 231.0ms (7.5% of total)

ival-div: 157.0ms (5.1% of total)

ival-tan: 90.0ms (2.9% of total)

ival-<=: 45.0ms (1.5% of total)

ival-and: 13.0ms (0.4% of total)

exact: 11.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain285.0ms (3%)

Memory

-30.8MiB live, 268.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	0	-	0	-	`(-.f64 x (sin.f64 x))`
55	1	(-5.980812426896116e-162)	5	(1.204808074802565e-103)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	82	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	51	0
↳	`(-.f64 x (sin.f64 x))`	underflow	174

Confusion

	Predicted +	Predicted -
+	132	0
-	1	123

Precision

0.9924812030075187

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	1	0	123

Precision?

0.9924812030075187

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

175.0ms	374×	2	valid
16.0ms	136×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-sin: 122.0ms (73.8% of total)

adjust: 22.0ms (13.3% of total)

ival-div: 9.0ms (5.4% of total)

ival-sub: 8.0ms (4.8% of total)

ival-tan: 4.0ms (2.4% of total)

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

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

preprocess282.0ms (3%)

Memory

14.2MiB live, 203.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	21	19
2	52	19
3	96	19
4	173	19
5	381	19
6	915	19
7	2253	19
8	4675	19
0	5	7
0	9	7
1	15	7
2	18	7
3	23	7
4	32	7
5	54	7
6	94	7
7	194	7
8	462	7
9	804	7
10	1478	7
11	2559	7
12	3065	7
13	3443	7
14	3727	7
15	3853	7
16	3880	7
17	3883	7
18	3886	7
19	3898	7
20	3901	7
21	3904	7
22	3907	7
23	3910	7
24	3913	7
25	3916	7
26	3919	7
27	7377	7
0	8134	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify243.0ms (2.6%)

Memory

10.3MiB live, 147.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	15	16
2	18	16
3	23	16
4	32	16
5	54	16
6	94	16
7	194	16
8	462	16
9	804	16
10	1478	16
11	2559	16
12	3065	16
13	3443	16
14	3727	16
15	3853	16
16	3880	16
17	3883	16
18	3886	16
19	3898	16
20	3901	16
21	3904	16
22	3907	16
23	3910	16
24	3913	16
25	3916	16
26	3919	16
27	7377	16
0	8134	16

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

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

localize135.0ms (1.4%)

Memory

-27.3MiB live, 117.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	11.091499818340404	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	18.202754868803634	(-.f64 x (sin.f64 x))

Samples

120.0ms	187×	2	valid
8.0ms	68×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-sin: 62.0ms (53.2% of total)

adjust: 25.0ms (21.5% of total)

ival-div: 24.0ms (20.6% of total)

ival-sub: 4.0ms (3.4% of total)

ival-tan: 2.0ms (1.7% of total)

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

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

series4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
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))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

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

simplify149.0ms (1.6%)

Memory

3.6MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
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))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (-.f64 (.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)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64) (-.f64 (.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
(* 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 (-.f64 (.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) (/.f64 x x)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) (/.f64 x x)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)

rewrite195.0ms (2.1%)

Memory

3.8MiB live, 92.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	33	15
2	228	15
3	2190	15
0	8310	15

Stop Event

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

Counts

4 → 170

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (/.f64 (+.f64 (sin.f64 x) x) (+.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (tan.f64 x) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (tan.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))) (.f64 (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (tan.f64 x)) (.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
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(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 x (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(fma.f64 x (/.f64 x (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x))))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 2 binary64)))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))))))
(/.f64 (sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))))
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (PI.f64)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))

eval19.0ms (0.2%)

Memory: 22.3MiB live, 22.3MiB allocated
Compiler: Compiled 4 374 to 721 computations (83.5% saved)

prune28.0ms (0.3%)

Memory

-38.6MiB live, 8.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Accuracy

99.9%

Counts

190 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.3%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 196 to 132 computations (32.7% saved)

simplify242.0ms (2.6%)

Memory

-2.0MiB live, 121.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	306
0	63	306
1	107	306
2	255	306
3	665	306
4	1475	306
5	2336	306
6	2960	306
7	3294	306
8	3952	306
9	5201	306
0	8051	306

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
#s(literal -143/604800 binary64)
(*.f64 x x)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

localize397.0ms (4.2%)

Memory

8.4MiB live, 283.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.11328125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.16550955319728744	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	11.091499818340404	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.0078125	(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.15625	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
accuracy	0.32421875	(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0078125	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.022046313241307517	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.32421875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.1875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.20699072057093384	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.10546875	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.12890625	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.16796875	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.1875	(.f64 (.f64 x x) #s(literal 1/6 binary64))

Samples

280.0ms	187×	2	valid
87.0ms	68×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 246 to 37 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-sin: 120.0ms (37% of total)

ival-mult: 59.0ms (18.2% of total)

ival-div: 50.0ms (15.4% of total)

adjust: 29.0ms (8.9% of total)

const: 29.0ms (8.9% of total)

ival-sub: 21.0ms (6.5% of total)

ival-pow: 9.0ms (2.8% of total)

ival-add: 6.0ms (1.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

24 → 61

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(tan.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 4)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (tan x))
5.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (tan x))
3.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (tan x))

Time

Variable

Point

Expression

6.0ms

inf

((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (tan x))

5.0ms

-inf

((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (tan x))

3.0ms

((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (tan x))

simplify138.0ms (1.5%)

Memory

-38.5MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	615
1	501	608
2	1679	598
3	4459	597
0	8324	580

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 4)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (.f64 x x)) #s(literal 23/360 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (-.f64 (.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)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) x)
(* -143/604800 (pow x 2))
(.f64 (.f64 #s(literal -143/604800 binary64) x) x)
(* -11/15120 (pow x 2))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (-.f64 (.f64 (.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (.f64 x x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -143/604800 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (fma.f64 (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))

rewrite228.0ms (2.4%)

Memory

23.0MiB live, 208.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	260
0	63	260
1	211	260
2	1375	260
0	8454	260

Stop Event

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

Counts

24 → 384

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
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(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64)))))

eval110.0ms (1.2%)

Memory: 6.4MiB live, 116.4MiB allocated
Compiler: Compiled 21 660 to 2 426 computations (88.8% saved)

prune39.0ms (0.4%)

Memory

-12.9MiB live, 34.4MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	523	10	533
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	526	12	538

Accuracy

100.0%

Counts

538 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	49.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	72.0%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 551 to 362 computations (34.3% saved)

simplify163.0ms (1.7%)

Memory

15.5MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	444
0	78	444
1	125	444
2	229	444
3	471	444
4	787	444
5	1087	444
6	1318	444
7	1604	444
8	2251	444
9	3482	444
10	6469	444
0	8163	436

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
#s(literal -143/604800 binary64)
(*.f64 x x)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
(-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x)) (.f64 x x)))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x)) (.f64 x x))
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x) (-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x) (-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))
(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
(-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

localize431.0ms (4.6%)

Memory

-27.4MiB live, 590.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
accuracy	0.248378759768442	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.3203125	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
accuracy	0.38900375976844204	(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.08203125	(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.20699072057093384	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy	17.711984895781605	(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.20703125	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.32421875	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
accuracy	0.33203125	(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
accuracy	30.451046831861536	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
accuracy	0.022046313241307517	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.13671875	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.20202318579973907	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.32421875	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.12890625	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.140625	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.16796875	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)

Samples

257.0ms	187×	2	valid
84.0ms	68×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 317 to 42 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-sin: 89.0ms (32.3% of total)

ival-mult: 42.0ms (15.2% of total)

const: 37.0ms (13.4% of total)

adjust: 30.0ms (10.9% of total)

ival-add: 27.0ms (9.8% of total)

ival-sub: 26.0ms (9.4% of total)

ival-div: 14.0ms (5.1% of total)

ival-sqrt: 4.0ms (1.5% of total)

ival-pow: 4.0ms (1.5% of total)

ival-tan: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

27 → 46

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(.f64 #s(literal -23/360 binary64) (.f64 x x))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 4)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* 1/36 (pow x 4))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(* -23/360 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -23/360 x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* 1/6 x) x)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (/ (- x (sin x)) (tan x)) (* (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (- (* 529/129600 (pow x 4)) 1/36) x) (* 1/6 x) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* 1/6 x) x) (* -143/604800 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)) (* -23/360 (* x x)))

4.0ms

-inf

((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* 1/6 x) x)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (/ (- x (sin x)) (tan x)) (* (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (- (* 529/129600 (pow x 4)) 1/36) x) (* 1/6 x) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* 1/6 x) x) (* -143/604800 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)) (* -23/360 (* x x)))

3.0ms

((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* 1/6 x) x)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (/ (- x (sin x)) (tan x)) (* (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (- (* 529/129600 (pow x 4)) 1/36) x) (* 1/6 x) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* 1/6 x) x) (* -143/604800 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)) (* -23/360 (* x x)))

simplify97.0ms (1%)

Memory

-28.4MiB live, 115.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	397
1	308	397
2	897	391
3	2816	381
0	8184	367

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 4)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* 1/36 (pow x 4))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(* -23/360 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -23/360 x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* 1/36 (pow x 4))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(* -143/604800 (pow x 2))
(.f64 (.f64 #s(literal -143/604800 binary64) x) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x))
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 #s(literal -11/15120 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(fma.f64 (.f64 #s(literal -11/15120 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -143/604800 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x))

rewrite255.0ms (2.7%)

Memory

24.9MiB live, 392.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	365
0	78	364
1	241	339
2	1473	339
0	8298	328

Stop Event

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

Counts

27 → 396

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(.f64 #s(literal -23/360 binary64) (.f64 x x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))) (/.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))) (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (.f64 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(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x))) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 x (.f64 #s(literal -23/360 binary64) x))

eval104.0ms (1.1%)

Memory: 24.9MiB live, 161.5MiB allocated
Compiler: Compiled 17 105 to 1 939 computations (88.7% saved)

prune79.0ms (0.8%)

Memory

-0.1MiB live, 61.3MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	436	10	446
Fresh	3	2	5
Picked	4	1	5
Done	0	2	2
Total	443	15	458

Accuracy

100.0%

Counts

458 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	48.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	48.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	37.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x)))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
	73.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
	71.9%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
▶	71.9%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))

Compiler

Compiled 676 to 421 computations (37.7% saved)

simplify130.0ms (1.4%)

Memory

-7.5MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
cost-diff	8	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
cost-diff	0	#s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))
cost-diff	0	(/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
cost-diff	4	(fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	387
0	69	371
1	128	357
2	352	349
3	1192	349
4	2208	349
5	2732	349
6	2960	349
7	3259	349
8	3907	349
9	5113	349
10	7574	349
0	8017	347

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))
(*.f64 #s(literal -1/36 binary64) x)
#s(literal -1/36 binary64)
x
(-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))) #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))))
(.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))) #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)))
(/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))
(*.f64 #s(literal -1/36 binary64) x)
#s(literal -1/36 binary64)
x
(-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x

localize385.0ms (4.1%)

Memory

12.5MiB live, 432.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20699072057093384	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
accuracy	0.23894501953688402	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	29.569080788515567	(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0.13671875	(.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
accuracy	0.248378759768442	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.3203125	(*.f64 #s(literal -1/36 binary64) x)
accuracy	0.38900375976844204	(/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
accuracy	0.08203125	(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
accuracy	0.09212875976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.20699072057093384	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
accuracy	17.711984895781605	(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.022046313241307517	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.1796875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.140625	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.16796875	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
accuracy	0.240566259768442	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x))
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)

Samples

247.0ms	187×	2	valid
101.0ms	68×	1	valid
1.0ms	1×	0	valid

Compiler

Compiled 293 to 43 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-sin: 97.0ms (32.4% of total)

adjust: 46.0ms (15.4% of total)

ival-mult: 42.0ms (14% of total)

ival-pow: 38.0ms (12.7% of total)

const: 37.0ms (12.4% of total)

ival-sub: 14.0ms (4.7% of total)

ival-div: 8.0ms (2.7% of total)

ival-add: 8.0ms (2.7% of total)

ival-sqrt: 7.0ms (2.3% of total)

ival-tan: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-3.9MiB live, 42.0MiB allocated

Counts

24 → 48

Calls

Call 1

Inputs
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(*.f64 #s(literal -1/36 binary64) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
(pow x 4)
(* 1/36 (pow x 4))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* x (sqrt 1/6))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* x (sqrt 1/6)))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

((+ (* (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (* x x)) (* x x)) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (* x x)) (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* x x) (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (sqrt (* 1/36 (* (* x x) (* x x)))) (* 1/36 (* (* x x) (* x x))) (/ (- x (sin x)) (tan x)) (* (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (- (* 529/129600 (pow x 4)) 1/36) x) (* (sqrt (* (* 1/6 x) x)) (sqrt (* (* 1/6 x) x))) (/ (- x (sin x)) (tan x)) (sqrt (* (* 1/6 x) x)) (* (* 1/6 x) x) (* 1/6 x) (* (- (* (* x x) -143/604800) 11/15120) x) (* -1/36 x) (* -23/360 (* x x)))

5.0ms

inf

((+ (* (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (* x x)) (* x x)) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (* x x)) (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* x x) (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (sqrt (* 1/36 (* (* x x) (* x x)))) (* 1/36 (* (* x x) (* x x))) (/ (- x (sin x)) (tan x)) (* (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (- (* 529/129600 (pow x 4)) 1/36) x) (* (sqrt (* (* 1/6 x) x)) (sqrt (* (* 1/6 x) x))) (/ (- x (sin x)) (tan x)) (sqrt (* (* 1/6 x) x)) (* (* 1/6 x) x) (* 1/6 x) (* (- (* (* x x) -143/604800) 11/15120) x) (* -1/36 x) (* -23/360 (* x x)))

4.0ms

-inf

((+ (* (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (* x x)) (* x x)) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (* x x)) (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* x x) (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (sqrt (* 1/36 (* (* x x) (* x x)))) (* 1/36 (* (* x x) (* x x))) (/ (- x (sin x)) (tan x)) (* (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (- (* 529/129600 (pow x 4)) 1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (- (* 529/129600 (pow x 4)) 1/36) x) (* (sqrt (* (* 1/6 x) x)) (sqrt (* (* 1/6 x) x))) (/ (- x (sin x)) (tan x)) (sqrt (* (* 1/6 x) x)) (* (* 1/6 x) x) (* 1/6 x) (* (- (* (* x x) -143/604800) 11/15120) x) (* -1/36 x) (* -23/360 (* x x)))

simplify192.0ms (2.1%)

Memory

-3.2MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	434
1	322	434
2	968	426
3	3028	420
0	8467	409

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
(pow x 4)
(* 1/36 (pow x 4))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* x (sqrt 1/6))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* x (sqrt 1/6)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 1/36 (pow x 4))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) x)
(* (pow x 2) (pow (sqrt 1/6) 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x (sqrt 1/6))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* -143/604800 (pow x 4))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 4))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -143/604800 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (sqrt 1/6)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)))

rewrite224.0ms (2.4%)

Memory

7.7MiB live, 237.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	324
0	69	286
1	237	283
2	1552	282
0	8555	280

Stop Event

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

Counts

24 → 759

Calls

Call 1

Inputs
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* 529/129600 (pow x 4)) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(*.f64 #s(literal -1/36 binary64) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))

Outputs
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (.f64 x x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (.f64 x x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (.f64 x x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) x) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) x) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) x))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) x) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) x) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)))
(.f64 x (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 x (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 x (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)))))))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))))))))
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(.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 x))
(*.f64 x (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))
(sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))
(exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(+.f64 (cosh.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) (sinh.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(.f64 (fabs.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)))) (sqrt.f64 x))
(.f64 (fabs.f64 (.f64 #s(literal -1/6 binary64) x)) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/6 binary64))) x)
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) x)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (.f64 x #s(literal 1/36 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 x #s(literal 1/36 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 3 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (fabs.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (fabs.f64 (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64))))
(+.f64 (cosh.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64)))) (sinh.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64)))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 x (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) x)) (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) x)) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)))) (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)))) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) x) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) x) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64))) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(*.f64 #s(literal -1/36 binary64) x)
(*.f64 x #s(literal -1/36 binary64))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 x (.f64 #s(literal -23/360 binary64) x))

eval111.0ms (1.2%)

Memory: 5.7MiB live, 241.8MiB allocated
Compiler: Compiled 36 655 to 3 663 computations (90% saved)

prune32.0ms (0.3%)

Memory

-19.8MiB live, 78.5MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 008	5	1 013
Fresh	6	1	7
Picked	2	3	5
Done	0	3	3
Total	1 016	12	1 028

Accuracy

100.0%

Counts

1 028 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 #s(approx (* (- (* (* x x) -143/604800) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	73.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
	72.0%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
✓	71.9%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))

Compiler

Compiled 1 021 to 371 computations (63.7% saved)

regimes15.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 #s(approx (* (- (* (* x x) -143/604800) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.2%)

Memory

-13.2MiB live, 32.2MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 #s(approx (* (- (* (* x x) -143/604800) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

8.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (- (* 529/129600 (pow x 4)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

-32.9MiB live, 13.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

3.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.4%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

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

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.4%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify79.0ms (0.8%)

Memory

-8.0MiB live, 52.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	124
1	61	124
2	105	124
3	188	124
4	275	124
5	321	124
6	406	124
7	676	124
8	1765	124
9	7303	124

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

derivations474.0ms (5.1%)

Memory

-1.7MiB live, 372.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	615
1	501	608
2	1679	598
3	4459	597
0	8324	580
0	39	260
0	63	260
1	211	260
2	1375	260
0	8454	260
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226

Stop Event

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

Compiler

Compiled 124 to 44 computations (64.5% saved)

preprocess38.0ms (0.4%)

Memory: 24.4MiB live, 68.9MiB allocated
Compiler: Compiled 272 to 106 computations (61% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample4.0s (42.6%)

explain285.0ms (3%)

preprocess282.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify243.0ms (2.6%)

localize135.0ms (1.4%)

series4.0ms (0%)

simplify149.0ms (1.6%)

rewrite195.0ms (2.1%)

eval19.0ms (0.2%)

prune28.0ms (0.3%)

simplify242.0ms (2.6%)

localize397.0ms (4.2%)

series16.0ms (0.2%)

simplify138.0ms (1.5%)

rewrite228.0ms (2.4%)

eval110.0ms (1.2%)

prune39.0ms (0.4%)

simplify163.0ms (1.7%)

localize431.0ms (4.6%)

series14.0ms (0.1%)

simplify97.0ms (1%)

rewrite255.0ms (2.7%)

eval104.0ms (1.1%)

prune79.0ms (0.8%)

simplify130.0ms (1.4%)

localize385.0ms (4.1%)

series20.0ms (0.2%)

simplify192.0ms (2.1%)

rewrite224.0ms (2.4%)

eval111.0ms (1.2%)

prune32.0ms (0.3%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify79.0ms (0.8%)

derivations474.0ms (5.1%)

preprocess38.0ms (0.4%)

end0.0ms (0%)

Profiling