Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

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)

sample4.4s (39.8%)

Memory

-44.1MiB live, 4 327.5MiB allocated; 2.0s collecting garbage

Samples

3.5s	5 783×	2	valid
448.0ms	2 395×	1	valid
5.0ms	78×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-sin: 2.5s (69.6% of total)

adjust: 492.0ms (13.9% of total)

ival-div: 238.0ms (6.7% of total)

ival-sub: 187.0ms (5.3% of total)

ival-tan: 68.0ms (1.9% of total)

ival-<=: 60.0ms (1.7% of total)

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

exact: 12.0ms (0.3% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain323.0ms (3%)

Memory

-6.2MiB live, 249.2MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
88	1	(3.2448452808204502e-108)	0	-	`(-.f64 x (sin.f64 x))`
46	0	-	4	(-1.211560579007661e-104)	`(/.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	89	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	42	0
↳	`(-.f64 x (sin.f64 x))`	underflow	167

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

163.0ms	356×	2	valid
21.0ms	156×	1	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-sin: 90.0ms (67.6% of total)

adjust: 21.0ms (15.8% of total)

ival-div: 10.0ms (7.5% of total)

ival-sub: 7.0ms (5.3% of total)

ival-tan: 4.0ms (3% of total)

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

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

preprocess304.0ms (2.8%)

Memory

-4.5MiB live, 228.4MiB allocated; 33ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify307.0ms (2.8%)

Memory

18.9MiB live, 212.6MiB allocated; 16ms collecting garbage

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)

localize131.0ms (1.2%)

Memory

4.7MiB live, 99.1MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	9.156304566457408	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	19.258877975044296	(-.f64 x (sin.f64 x))

Samples

76.0ms	178×	2	valid
48.0ms	78×	1	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 51.0ms (45% of total)

ival-sin: 46.0ms (40.6% of total)

adjust: 11.0ms (9.7% of total)

ival-sub: 4.0ms (3.5% of total)

ival-tan: 2.0ms (1.8% of total)

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

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

series4.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

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))

simplify177.0ms (1.6%)

Memory

0.7MiB live, 100.2MiB allocated; 15ms collecting garbage

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)

rewrite182.0ms (1.7%)

Memory

-8.1MiB live, 81.0MiB allocated; 10ms collecting garbage

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)))))

eval107.0ms (1%)

Memory: -26.4MiB live, 32.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 374 to 721 computations (83.5% saved)

prune6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

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
▶	84.7%	(/.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))
▶	99.6%	#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))
▶	98.5%	#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)

simplify149.0ms (1.4%)

Memory

-3.0MiB live, 89.7MiB allocated; 4ms collecting garbage

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)

localize437.0ms (4%)

Memory

8.0MiB live, 294.2MiB allocated; 20ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.1171875	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.6258240330426057	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	9.156304566457408	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.01953125	(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
accuracy	0.125	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
accuracy	0.1328125	(.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	0.3359375	(.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	0.015625	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.031380558599755665	#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	0.1328125	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3359375	(.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	0.7420032858047277	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.1171875	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.13119125976844204	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.1875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.19921875	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)

Samples

260.0ms	178×	2	valid
90.0ms	78×	1	valid

Compiler

Compiled 246 to 37 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

adjust: 147.0ms (47.7% of total)

ival-sin: 59.0ms (19.1% of total)

ival-mult: 41.0ms (13.3% of total)

const: 27.0ms (8.8% of total)

ival-sub: 11.0ms (3.6% of total)

ival-pow: 9.0ms (2.9% of total)

ival-add: 6.0ms (1.9% of total)

ival-div: 5.0ms (1.6% 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)

series49.0ms (0.4%)

Memory

-19.0MiB live, 26.2MiB allocated; 4ms collecting garbage

Counts

25 → 62

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))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(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))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 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
38.0ms	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)) (- (* -11/15120 (* x x)) 23/360) (tan x))
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)) (- (* -11/15120 (* x x)) 23/360) (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)) (- (* -11/15120 (* x x)) 23/360) (tan x))

Time

Variable

Point

Expression

38.0ms

-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)) (- (* -11/15120 (* x x)) 23/360) (tan x))

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)) (- (* -11/15120 (* x x)) 23/360) (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)) (- (* -11/15120 (* x x)) 23/360) (tan x))

simplify139.0ms (1.3%)

Memory

29.6MiB live, 221.1MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	622
1	514	615
2	1758	605
3	4704	604
0	8428	582

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

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))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 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 (fma.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)
(fma.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 (fma.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 (fma.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 (.f64 #s(literal -23/360 binary64) 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)))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 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 #s(literal -1 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 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)))

rewrite230.0ms (2.1%)

Memory

-4.7MiB live, 225.1MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	267
0	63	267
1	211	267
2	1375	267
0	8454	267

Stop Event

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

Counts

25 → 399

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))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(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 (-.f64 (.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)))) (.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))) (.f64 (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (fma.f64 (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)) #s(literal 529/129600 binary64))) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))) #s(literal 12167/46656000 binary64))) (.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (neg.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64))))
(-.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (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 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64))))
(/.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)))))

eval85.0ms (0.8%)

Memory: 15.2MiB live, 112.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 22 604 to 2 556 computations (88.7% saved)

prune30.0ms (0.3%)

Memory

1.8MiB live, 48.6MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	535	15	550
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	538	17	555

Accuracy

100.0%

Counts

555 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
▶	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 #s(literal 1/6 binary64) (*.f64 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 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #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 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.6%	#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)))
	99.5%	#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 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) 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))))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.6%	#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))
	48.7%	#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))
▶	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	78.2%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
	34.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (+ (* -23/360 (* x x)) 1/6) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
	78.1%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 785 to 509 computations (35.2% saved)

simplify197.0ms (1.8%)

Memory

-12.3MiB live, 131.1MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
cost-diff	1	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
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 #s(literal 1/6 binary64) (*.f64 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 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	0	(fma.f64 (fma.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 (fma.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 (fma.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 (fma.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 (+ (* -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 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) 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)))))
cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) 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))))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) 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))))) x))
cost-diff	1	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	426
0	84	418
1	155	418
2	434	418
3	1452	417
4	3405	417
5	5324	417
0	8375	406

Stop Event

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

Calls

Call 1

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

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

localize705.0ms (6.4%)

Memory

21.1MiB live, 635.3MiB allocated; 146ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.1875	(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
accuracy	0.7420032858047277	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
accuracy	13.282425683229157	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.13119125976844204	(.f64 (.f64 x x) #s(literal -143/604800 binary64))
accuracy	0.1875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.19921875	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
accuracy	0.24609375	(.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	0.015625	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.01953125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.1328125	(.f64 (.f64 (fma.f64 (fma.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	0.3359375	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.031380558599755665	#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	0.1328125	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.3359375	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.7328872775155962	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.12890625	(.f64 (.f64 x x) #s(literal -23/2160 binary64))
accuracy	0.1328125	(.f64 (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) 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))))) x)
accuracy	0.36328125	(*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
accuracy	0.4069137695368841	(/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) 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)))))

Samples

490.0ms	178×	2	valid
132.0ms	77×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 349 to 53 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 556.0ms

ival-mult: 151.0ms (27.2% of total)

adjust: 150.0ms (27% of total)

const: 62.0ms (11.2% of total)

ival-sin: 48.0ms (8.6% of total)

ival-add: 47.0ms (8.5% of total)

ival-sub: 45.0ms (8.1% of total)

ival-div: 40.0ms (7.2% of total)

ival-pow: 8.0ms (1.4% of total)

ival-tan: 2.0ms (0.4% of total)

ival-sqrt: 2.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

-23.0MiB live, 22.6MiB allocated; 5ms collecting garbage

Counts

26 → 64

Calls

Call 1

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

Outputs
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(* 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 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)))
(* -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)
(pow x 2)
(pow x 4)
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -23/2160 (pow x 2))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -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))
(* -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))))))
(* -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 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))
(* -12167/46656000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -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) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

((- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) x) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (/ (- 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 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) (sqrt (pow x 4)) (/ (- x (sin x)) (tan x)) (* (sqrt (pow x 4)) 1/6) (pow x 4) (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (* (* x x) -23/2160) (+ (* -11/15120 (* x x)) -23/360) (* (- (* (* x x) -143/604800) 11/15120) x) (* 1/6 (* x x)) (* (* x x) -143/604800))

5.0ms

inf

((- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) x) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (/ (- 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 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) (sqrt (pow x 4)) (/ (- x (sin x)) (tan x)) (* (sqrt (pow x 4)) 1/6) (pow x 4) (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (* (* x x) -23/2160) (+ (* -11/15120 (* x x)) -23/360) (* (- (* (* x x) -143/604800) 11/15120) x) (* 1/6 (* x x)) (* (* x x) -143/604800))

3.0ms

((- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) x) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (/ (- 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 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) (sqrt (pow x 4)) (/ (- x (sin x)) (tan x)) (* (sqrt (pow x 4)) 1/6) (pow x 4) (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (* (* x x) -23/2160) (+ (* -11/15120 (* x x)) -23/360) (* (- (* (* x x) -143/604800) 11/15120) x) (* 1/6 (* x x)) (* (* x x) -143/604800))

simplify129.0ms (1.2%)

Memory

3.2MiB live, 139.5MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	608
1	430	608
2	1402	594
3	4420	593
0	8075	575

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

Inputs
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(* 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 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)))
(* -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)
(pow x 2)
(pow x 4)
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -23/2160 (pow x 2))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -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))
(* -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))))))
(* -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 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))
(* -12167/46656000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -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) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))

Outputs
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 23/2160 (pow x 2)))
(fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x #s(literal 1/36 binary64))
(* 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 (.f64 (fma.f64 (fma.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)))
(* 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))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (fma.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 (.f64 (.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.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)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 1/216 x)
(*.f64 #s(literal 1/216 binary64) x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x)
(* -23/2160 (pow x 2))
(.f64 #s(literal -23/2160 binary64) (.f64 x x))
(* -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)
(* 23/2160 (pow x 2))
(.f64 (.f64 x x) #s(literal 23/2160 binary64))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x #s(literal 1/36 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 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 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) (*.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)))
(* -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 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 (+.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 6 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)))
(* -12167/46656000 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -12167/46656000 binary64))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(*.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -11/15120 (pow x 2))
(.f64 (.f64 #s(literal -11/15120 binary64) x) x)
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 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 (-.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 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64)))

rewrite240.0ms (2.2%)

Memory

6.0MiB live, 250.1MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	353
0	84	344
1	300	308
2	2119	308
0	8209	299

Stop Event

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

Counts

26 → 403

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (+.f64 #s(literal 1/46656 binary64) (neg.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (-.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64)) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (.f64 (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)) (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/46656 binary64) (neg.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -23/2160 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))
(fma.f64 #s(literal -23/2160 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/36 binary64))
(-.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64))) (/.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(-.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))))
(-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))
(+.f64 #s(literal 1/36 binary64) (.f64 (neg.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/36 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -23/2160 binary64) x)))
(+.f64 #s(literal 1/36 binary64) (.f64 #s(literal 23/2160 binary64) (.f64 x x)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))))
(.f64 (.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))) x))
(.f64 x (.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 x (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))))))
(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64)) (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 2 binary64))) (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))))))
(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))))
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(.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 (fabs.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 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 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 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))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(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 -143/604800 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -143/604800 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -143/604800 binary64)))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(.f64 x (.f64 #s(literal -143/604800 binary64) x))

eval125.0ms (1.1%)

Memory: 12.7MiB live, 203.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 18 374 to 2 297 computations (87.5% saved)

prune44.0ms (0.4%)

Memory

-12.9MiB live, 86.3MiB allocated; 7ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	481	6	487
Fresh	4	6	10
Picked	3	2	5
Done	0	2	2
Total	488	16	504

Accuracy

100.0%

Counts

504 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	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 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #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 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
▶	99.6%	#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)))
	99.5%	#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 ( (+ (* -12167/46656000 (pow x 6)) 1/216) x) (.f64 #s(literal 1/216 binary64) 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))))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))))))
✓	99.6%	#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))
▶	48.7%	#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))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	78.2%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
	34.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (/ ( (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))) x))
▶	78.1%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))

Compiler

Compiled 744 to 493 computations (33.7% saved)

simplify180.0ms (1.6%)

Memory

24.9MiB live, 214.4MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 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 (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64))
cost-diff	0	(.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
cost-diff	4	(fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.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 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))))))
cost-diff	1	(-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	431
0	83	425
1	152	425
2	403	425
3	1376	425
4	2723	425
5	3536	425
6	4230	425
7	5460	425
8	7310	425
0	8021	418

Stop Event

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

Calls

Call 1

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

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

localize616.0ms (5.6%)

Memory

22.7MiB live, 674.9MiB allocated; 125ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.08984375	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
accuracy	0.7420032858047277	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
accuracy	13.268201159797167	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
accuracy	0.213222509768442	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.328125	(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
accuracy	0.3359375	(.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	30.799889855935962	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
accuracy	0.00390625	(fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0.1875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.24609375	(.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x))
accuracy	0.5309930790443693	#s(approx (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.031380558599755665	#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	0.2109375	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.12890625	(.f64 #s(literal -23/2160 binary64) (.f64 x x))
accuracy	0.1484375	(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))))
accuracy	0.36328125	(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x)
accuracy	0.41015625	(/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x)))))

Samples

413.0ms	170×	2	valid
108.0ms	77×	1	valid
48.0ms	8×	3	valid
1.0ms	1×	0	valid

Compiler

Compiled 309 to 51 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 504.0ms

const: 145.0ms (28.8% of total)

adjust: 122.0ms (24.2% of total)

ival-mult: 66.0ms (13.1% of total)

ival-sin: 60.0ms (11.9% of total)

ival-div: 59.0ms (11.7% of total)

ival-add: 20.0ms (4% of total)

ival-sub: 15.0ms (3% of total)

ival-pow: 9.0ms (1.8% of total)

ival-sqrt: 5.0ms (1% of total)

ival-tan: 2.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-28.8MiB live, 16.4MiB allocated; 6ms collecting garbage

Counts

26 → 68

Calls

Call 1

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

Outputs
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(* 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 2) (+ 1/6 (* (pow x 2) (- (* 12167/648000 (pow x 4)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 4) (+ 12167/648000 (* -279841/38880000 (pow x 2)))) 23/360))))
(* 1/216 x)
(* x (+ 1/216 (* 12167/46656000 (pow x 6))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
(* -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 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* 1/36 (pow x 4))
(pow x 4)
(* 36 x)
(* x (+ 36 (* -69/5 (pow x 2))))
(* x (+ 36 (* (pow x 2) (- (* 12167/6000 (pow x 4)) 69/5))))
(* x (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 12167/6000 (* -279841/360000 (pow x 2)))) 69/5))))
(* -23/2160 (pow x 2))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* 23/360 (pow x 4))
(* (pow x 4) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 23/360 (/ 1200/529 (pow x 6))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 23/360 (/ 1200/529 (pow x 6))) (+ (* 1/6 (/ 1 (pow x 2))) (* 72000/12167 (/ 1 (pow x 8))))))
(* 12167/46656000 (pow x 7))
(* (pow x 7) (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6)))))
(* -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))
(* -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 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 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ 129600/529 (pow x 3))
(/ (- 129600/529 (* 7776000/12167 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 129600/529 (/ 27993600000/6436343 (pow x 6))) (* 7776000/12167 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 129600/529 (/ 27993600000/6436343 (pow x 6))) (+ (* 7776000/12167 (/ 1 (pow x 2))) (* 1679616000000/148035889 (/ 1 (pow x 8))))) (pow x 3))
(* -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 (/ (- (* 7776000/12167 (/ 1 (pow x 2))) 129600/529) (pow x 3)))
(* -1 (/ (- (* 7776000/12167 (/ 1 (pow x 2))) (+ 129600/529 (/ 27993600000/6436343 (pow x 6)))) (pow x 3)))
(* -1 (/ (- (+ (* 7776000/12167 (/ 1 (pow x 2))) (* 1679616000000/148035889 (/ 1 (pow x 8)))) (+ 129600/529 (/ 27993600000/6436343 (pow x 6)))) (pow x 3)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

((- 1/36 (* -23/2160 (* x x))) (/ (- x (sin x)) (tan x)) (* (* (+ (* (pow x 6) 12167/46656000) 1/216) x) (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x)))))) (* (+ (* (pow x 6) 12167/46656000) 1/216) x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* x x) (+ (* (* (- (* (* (- (* (* 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) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (sqrt (* (pow x 4) 1/36)) (* (pow x 4) 1/36) (pow x 4) (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x))))) (* -23/2160 (* x x)) (* 1/6 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)))

5.0ms

-inf

((- 1/36 (* -23/2160 (* x x))) (/ (- x (sin x)) (tan x)) (* (* (+ (* (pow x 6) 12167/46656000) 1/216) x) (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x)))))) (* (+ (* (pow x 6) 12167/46656000) 1/216) x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* x x) (+ (* (* (- (* (* (- (* (* 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) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (sqrt (* (pow x 4) 1/36)) (* (pow x 4) 1/36) (pow x 4) (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x))))) (* -23/2160 (* x x)) (* 1/6 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)))

5.0ms

inf

((- 1/36 (* -23/2160 (* x x))) (/ (- x (sin x)) (tan x)) (* (* (+ (* (pow x 6) 12167/46656000) 1/216) x) (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x)))))) (* (+ (* (pow x 6) 12167/46656000) 1/216) x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* x x) (+ (* (* (- (* (* (- (* (* 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) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (sqrt (* (pow x 4) 1/36)) (* (pow x 4) 1/36) (pow x 4) (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x))))) (* -23/2160 (* x x)) (* 1/6 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)))

simplify136.0ms (1.2%)

Memory

21.5MiB live, 115.5MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	703
1	560	703
2	1591	695
3	5214	693
0	8098	677

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

Inputs
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(* 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 2) (+ 1/6 (* (pow x 2) (- (* 12167/648000 (pow x 4)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 4) (+ 12167/648000 (* -279841/38880000 (pow x 2)))) 23/360))))
(* 1/216 x)
(* x (+ 1/216 (* 12167/46656000 (pow x 6))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
(* -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 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* 1/36 (pow x 4))
(pow x 4)
(* 36 x)
(* x (+ 36 (* -69/5 (pow x 2))))
(* x (+ 36 (* (pow x 2) (- (* 12167/6000 (pow x 4)) 69/5))))
(* x (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 12167/6000 (* -279841/360000 (pow x 2)))) 69/5))))
(* -23/2160 (pow x 2))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* 23/360 (pow x 4))
(* (pow x 4) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 23/360 (/ 1200/529 (pow x 6))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 23/360 (/ 1200/529 (pow x 6))) (+ (* 1/6 (/ 1 (pow x 2))) (* 72000/12167 (/ 1 (pow x 8))))))
(* 12167/46656000 (pow x 7))
(* (pow x 7) (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6)))))
(* -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))
(* -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 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 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ 129600/529 (pow x 3))
(/ (- 129600/529 (* 7776000/12167 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 129600/529 (/ 27993600000/6436343 (pow x 6))) (* 7776000/12167 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 129600/529 (/ 27993600000/6436343 (pow x 6))) (+ (* 7776000/12167 (/ 1 (pow x 2))) (* 1679616000000/148035889 (/ 1 (pow x 8))))) (pow x 3))
(* -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 (/ (- (* 7776000/12167 (/ 1 (pow x 2))) 129600/529) (pow x 3)))
(* -1 (/ (- (* 7776000/12167 (/ 1 (pow x 2))) (+ 129600/529 (/ 27993600000/6436343 (pow x 6)))) (pow x 3)))
(* -1 (/ (- (+ (* 7776000/12167 (/ 1 (pow x 2))) (* 1679616000000/148035889 (/ 1 (pow x 8)))) (+ 129600/529 (/ 27993600000/6436343 (pow x 6)))) (pow x 3)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Outputs
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 23/2160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))
(* 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 (.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 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 12167/648000 (pow x 4)) 23/360))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12167/648000 binary64)) #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 4) (+ 12167/648000 (* -279841/38880000 (pow x 2)))) 23/360))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -279841/38880000 binary64) (.f64 x x) #s(literal 12167/648000 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 1/216 x)
(*.f64 #s(literal 1/216 binary64) x)
(* x (+ 1/216 (* 12167/46656000 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 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))
(pow x 2)
(*.f64 x x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (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 (-.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))
-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 (.f64 x x) #s(literal -143/604800 binary64)) #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)
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 36 x)
(*.f64 #s(literal 36 binary64) x)
(* x (+ 36 (* -69/5 (pow x 2))))
(.f64 (fma.f64 #s(literal -69/5 binary64) (.f64 x x) #s(literal 36 binary64)) x)
(* x (+ 36 (* (pow x 2) (- (* 12167/6000 (pow x 4)) 69/5))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 12167/6000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 69/5 binary64)) (*.f64 x x) #s(literal 36 binary64)) x)
(* x (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 12167/6000 (* -279841/360000 (pow x 2)))) 69/5))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -279841/360000 binary64) (.f64 x x) #s(literal 12167/6000 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 69/5 binary64)) (.f64 x x) #s(literal 36 binary64)) x)
(* -23/2160 (pow x 2))
(.f64 #s(literal -23/2160 binary64) (.f64 x x))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(* 23/2160 (pow x 2))
(.f64 (.f64 x x) #s(literal 23/2160 binary64))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 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 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* 23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 23/360 binary64))
(* (pow x 4) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 23/360 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 23/360 (/ 1200/529 (pow x 6))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1200/529 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 23/360 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 23/360 (/ 1200/529 (pow x 6))) (+ (* 1/6 (/ 1 (pow x 2))) (* 72000/12167 (/ 1 (pow x 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1200/529 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 23/360 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (/.f64 #s(literal 72000/12167 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 12167/46656000 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 12167/46656000 binary64))
(* (pow x 7) (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 7 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)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) 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 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 (+.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 6 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 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)))
(/ 129600/529 (pow x 3))
(/.f64 #s(literal 129600/529 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- 129600/529 (* 7776000/12167 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 129600/529 binary64) (/.f64 #s(literal 7776000/12167 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 129600/529 (/ 27993600000/6436343 (pow x 6))) (* 7776000/12167 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27993600000/6436343 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 129600/529 binary64)) (/.f64 #s(literal 7776000/12167 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 129600/529 (/ 27993600000/6436343 (pow x 6))) (+ (* 7776000/12167 (/ 1 (pow x 2))) (* 1679616000000/148035889 (/ 1 (pow x 8))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 27993600000/6436343 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 129600/529 binary64)) (/.f64 #s(literal 7776000/12167 binary64) (*.f64 x x))) (/.f64 #s(literal 1679616000000/148035889 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -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 (-.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 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 7776000/12167 (/ 1 (pow x 2))) 129600/529) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal 7776000/12167 binary64) (*.f64 x x)) #s(literal 129600/529 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (* 7776000/12167 (/ 1 (pow x 2))) (+ 129600/529 (/ 27993600000/6436343 (pow x 6)))) (pow x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 7776000/12167 binary64) (*.f64 x x)) #s(literal 129600/529 binary64)) (/.f64 #s(literal 27993600000/6436343 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 7776000/12167 (/ 1 (pow x 2))) (* 1679616000000/148035889 (/ 1 (pow x 8)))) (+ 129600/529 (/ 27993600000/6436343 (pow x 6)))) (pow x 3)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1679616000000/148035889 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 129600/529 binary64)) (/.f64 #s(literal 27993600000/6436343 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -7776000/12167 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal -23/360 binary64)) x)

rewrite246.0ms (2.2%)

Memory

14.8MiB live, 245.3MiB allocated; 85ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	371
0	83	364
1	287	363
2	1956	363
0	8782	357

Stop Event

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

Counts

26 → 566

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) (/.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) (.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) (/.f64 (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 (.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)))))))
(/.f64 (fma.f64 #s(literal 12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (fma.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 #s(literal 23/2160 binary64) (*.f64 x x)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (.f64 (.f64 (neg.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x))) #s(literal 1/6 binary64)) (.f64 (neg.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x))) #s(literal 1/6 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (neg.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 (neg.f64 (.f64 x #s(literal -23/2160 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (.f64 (.f64 (neg.f64 (.f64 x #s(literal -23/2160 binary64))) x) (.f64 (neg.f64 (.f64 x #s(literal -23/2160 binary64))) x)) (.f64 #s(literal 1/36 binary64) (.f64 (neg.f64 (.f64 x #s(literal -23/2160 binary64))) x)))))
(/.f64 (+.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -23/2160 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -23/2160 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)))))
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(fma.f64 (.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal 1/36 binary64))
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(fma.f64 #s(literal 23/360 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/36 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal -23/2160 binary64))) #s(literal 1/36 binary64))
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(.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/6 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (sqrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64))))
(.f64 x (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 x (pow.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(.f64 x (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) x)) (neg.f64 (+.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 x (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)))) (neg.f64 (+.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 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) 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 (.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (.f64 x (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64))) (+.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 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (neg.f64 x)) (neg.f64 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)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(.f64 x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (.f64 x x))) (neg.f64 (+.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 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.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)))

eval96.0ms (0.9%)

Memory: -10.6MiB live, 131.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 31 518 to 3 328 computations (89.4% saved)

prune29.0ms (0.3%)

Memory

14.2MiB live, 60.7MiB allocated; 2ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	784	10	794
Fresh	4	3	7
Picked	3	2	5
Done	1	3	4
Total	792	18	810

Accuracy

100.0%

Counts

810 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #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 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
✓	99.6%	#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)))
	99.5%	#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))
	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) #s(approx (/ x (+ (* (pow x 4) 529/129600) (- 1/36 (* -23/2160 (* x x))))) (*.f64 #s(literal 36 binary64) x))))
✓	99.6%	#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))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	48.1%	#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))))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	78.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 x x))) (sqrt.f64 #s(literal 1/6 binary64))))
	98.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
	39.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
	77.4%	#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 ( (+ (* (pow x 6) 12167/46656000) 1/216) x) (.f64 #s(literal 1/216 binary64) x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (*.f64 x x)))))))
	78.1%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))))
	78.1%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))

Compiler

Compiled 1 365 to 514 computations (62.3% saved)

regimes18.0ms (0.2%)

Memory

-22.9MiB live, 23.0MiB allocated; 2ms collecting garbage

Counts

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

Calls

2 calls:

9.0ms	x
8.0ms	(/.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)

regimes13.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

7.0ms	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)

regimes9.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

19 → 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)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #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 (-.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 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #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 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)) (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 x x))) (sqrt.f64 #s(literal 1/6 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.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:

5.0ms	x
4.0ms	(/.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)

regimes6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

10 → 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)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(approx (- ( (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))

Outputs

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

regimes8.0ms (0.1%)

Memory

-43.7MiB live, 8.4MiB allocated; 5ms collecting garbage

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

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

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.6%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

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

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.6%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

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
98.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
98.6%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

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
98.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
98.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify54.0ms (0.5%)

Memory

-2.5MiB live, 43.6MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	201
1	105	201
2	187	201
3	338	201
4	546	201
5	693	201
6	820	201
7	1137	201
8	2868	201

Stop Event

1×	node limit

Calls

Call 1

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

derivations964.0ms (8.8%)

Memory

-2.2MiB live, 573.6MiB allocated; 195ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	622
1	514	615
2	1758	605
3	4704	604
0	8428	582
0	53	353
0	84	344
1	300	308
2	2119	308
0	8209	299
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226
0	140	608
1	430	608
2	1402	594
3	4420	593
0	8075	575
0	39	267
0	63	267
1	211	267
2	1375	267
0	8454	267
0	190	703
1	560	703
2	1591	695
3	5214	693
0	8098	677

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

Compiler

Compiled 201 to 79 computations (60.7% saved)

preprocess46.0ms (0.4%)

Memory: 29.4MiB live, 74.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 426 to 176 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample4.4s (39.8%)

explain323.0ms (3%)

preprocess304.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify307.0ms (2.8%)

localize131.0ms (1.2%)

series4.0ms (0%)

simplify177.0ms (1.6%)

rewrite182.0ms (1.7%)

eval107.0ms (1%)

prune6.0ms (0.1%)

simplify149.0ms (1.4%)

localize437.0ms (4%)

series49.0ms (0.4%)

simplify139.0ms (1.3%)

rewrite230.0ms (2.1%)

eval85.0ms (0.8%)

prune30.0ms (0.3%)

simplify197.0ms (1.8%)

localize705.0ms (6.4%)

series25.0ms (0.2%)

simplify129.0ms (1.2%)

rewrite240.0ms (2.2%)

eval125.0ms (1.1%)

prune44.0ms (0.4%)

simplify180.0ms (1.6%)

localize616.0ms (5.6%)

series24.0ms (0.2%)

simplify136.0ms (1.2%)

rewrite246.0ms (2.2%)

eval96.0ms (0.9%)

prune29.0ms (0.3%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify54.0ms (0.5%)

derivations964.0ms (8.8%)

preprocess46.0ms (0.4%)

end0.0ms (0%)

Profiling