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

2.9MiB live, 2.9MiB 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)

sample4.7s (43.8%)

Memory

-98.6MiB live, 3 991.9MiB allocated; 1.8s collecting garbage

Samples

3.6s	5 721×	2	valid
645.0ms	2 462×	1	valid
5.0ms	73×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-sin: 2.6s (67.1% of total)

adjust: 545.0ms (14.3% of total)

ival-div: 224.0ms (5.9% of total)

ival-sub: 183.0ms (4.8% of total)

ival-tan: 155.0ms (4.1% of total)

ival-<=: 122.0ms (3.2% of total)

ival-and: 12.0ms (0.3% of total)

exact: 12.0ms (0.3% of total)

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

Bogosity

explain364.0ms (3.4%)

Memory

-34.9MiB live, 345.4MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
80	-	0	-	`(-.f64 x (sin.f64 x))`
54	-	3	(2.2765472779129044e-105)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	-	0	-	`(tan.f64 x)`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	80	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	51	0
↳	`(-.f64 x (sin.f64 x))`	underflow	176

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

210.0ms	374×	2	valid
17.0ms	132×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-sin: 139.0ms (67.4% of total)

ival-div: 34.0ms (16.5% of total)

adjust: 21.0ms (10.2% of total)

ival-sub: 8.0ms (3.9% of total)

ival-tan: 4.0ms (1.9% of total)

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

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

preprocess331.0ms (3.1%)

Memory

35.1MiB live, 180.3MiB allocated; 15ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify285.0ms (2.6%)

Memory

-17.2MiB live, 133.8MiB 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)

localize125.0ms (1.2%)

Memory

-13.4MiB live, 33.1MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	11.482366433102506	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	17.51974221348289	(-.f64 x (sin.f64 x))

Samples

109.0ms	187×	2	valid
8.0ms	66×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-sin: 86.0ms (80.1% of total)

adjust: 11.0ms (10.3% of total)

ival-div: 5.0ms (4.7% of total)

ival-sub: 4.0ms (3.7% of total)

ival-tan: 2.0ms (1.9% of total)

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

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

series4.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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))

simplify181.0ms (1.7%)

Memory

-9.7MiB live, 81.6MiB allocated; 6ms 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)

rewrite192.0ms (1.8%)

Memory

34.3MiB live, 130.8MiB allocated; 13ms 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)))
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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)))))

eval40.0ms (0.4%)

Memory: -11.8MiB live, 34.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 374 to 721 computations (83.5% saved)

prune7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	182	7	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	8	190

Accuracy

99.8%

Counts

190 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(/.f64 (-.f64 (.f64 (tan.f64 x) x) (.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	54.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	81.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	54.2%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	99.6%	#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))))
▶	99.4%	#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))
▶	99.2%	#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))
▶	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 251 to 169 computations (32.7% saved)

simplify178.0ms (1.6%)

Memory

-6.4MiB live, 176.9MiB allocated; 23ms 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)

localize476.0ms (4.4%)

Memory

-23.1MiB live, 356.6MiB allocated; 73ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.516973400905567	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	11.482366433102506	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.12109375	(.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	0.140625	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
accuracy	0.153075289076504	#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))
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	0.00390625	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.28800415068692853	#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	0.33203125	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.1953125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.5954426519047497	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.09765625	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.13671875	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.140625	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.1953125	(.f64 (.f64 x x) #s(literal 1/6 binary64))

Samples

312.0ms	186×	2	valid
119.0ms	66×	1	valid
4.0ms	1×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 246 to 37 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-sin: 120.0ms (30.2% of total)

ival-mult: 87.0ms (21.9% of total)

adjust: 60.0ms (15.1% of total)

const: 45.0ms (11.3% of total)

ival-pow: 33.0ms (8.3% of total)

ival-add: 32.0ms (8.1% of total)

ival-sub: 11.0ms (2.8% of total)

ival-div: 6.0ms (1.5% of total)

ival-tan: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

24 → 61

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -143/604800 (* x x)) (* -11/15120 (* x x)) (tan x))
4.0ms	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)) 11/15120) x) x) (* -143/604800 (* x x)) (* -11/15120 (* x x)) (tan x))
3.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -143/604800 (* x x)) (* -11/15120 (* x x)) (tan x))

Time

Variable

Point

Expression

6.0ms

inf

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

4.0ms

-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)) 11/15120) x) x) (* -143/604800 (* x x)) (* -11/15120 (* x x)) (tan x))

3.0ms

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

simplify148.0ms (1.4%)

Memory

5.8MiB live, 144.6MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

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

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

rewrite194.0ms (1.8%)

Memory

15.2MiB live, 294.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

24 → 384

Calls

Call 1

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

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

eval96.0ms (0.9%)

Memory: -12.0MiB live, 137.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 21 660 to 2 426 computations (88.8% saved)

prune73.0ms (0.7%)

Memory

-34.7MiB live, 73.7MiB allocated; 12ms collecting garbage

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	516	17	533
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	517	24	541

Accuracy

100.0%

Counts

541 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(/.f64 (-.f64 (.f64 (tan.f64 x) x) (.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	54.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	81.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	81.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	54.2%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	99.6%	#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))))
	99.2%	#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))))))
▶	99.2%	#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))))
	99.4%	#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)))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.2%	#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))
	99.2%	#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))
	99.3%	#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))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
	54.3%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x))
✓	99.4%	#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))
✓	99.2%	#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))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	74.9%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
	31.4%	#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))
	75.0%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
▶	25.2%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 1 003 to 663 computations (33.9% saved)

simplify135.0ms (1.2%)

Memory

8.9MiB live, 147.4MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
cost-diff	0	#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))))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	2	(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 (.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	473
0	84	464
1	151	464
2	392	464
3	1350	464
4	2474	464
5	3226	464
6	3574	464
7	3927	464
8	4707	464
9	6114	464
0	8042	453

Stop Event

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

Calls

Call 1

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

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

localize466.0ms (4.3%)

Memory

24.5MiB live, 548.5MiB allocated; 42ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20378876953688405	(/.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)))
accuracy	0.20703125	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
accuracy	0.244472509768442	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.28800415068692853	#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))))
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
accuracy	0.17578125	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.28800415068692853	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	46.76385638499011	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.140625	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
accuracy	0.153075289076504	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.484375	(.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x)
accuracy	0.1171875	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.28800415068692853	#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	0.33203125	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.589425473513558	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.13671875	(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.140625	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
accuracy	0.1953125	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.25228500976844204	(.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))

Samples

361.0ms	186×	2	valid
55.0ms	66×	1	valid
5.0ms	1×	5	exit
1.0ms	3×	0	valid

Compiler

Compiled 356 to 47 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

adjust: 95.0ms (28.1% of total)

const: 75.0ms (22.2% of total)

ival-sin: 69.0ms (20.4% of total)

ival-mult: 58.0ms (17.2% of total)

ival-sub: 17.0ms (5% of total)

ival-div: 11.0ms (3.3% of total)

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

ival-pow: 4.0ms (1.2% 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)

series35.0ms (0.3%)

Memory

-18.0MiB live, 27.5MiB allocated; 6ms collecting garbage

Counts

28 → 64

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

25.0ms

inf

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

5.0ms

-inf

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

4.0ms

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

simplify192.0ms (1.8%)

Memory

14.4MiB live, 168.3MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	620
1	392	620
2	1308	597
3	4235	597
0	8118	589

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

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

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

rewrite342.0ms (3.2%)

Memory

-4.5MiB live, 274.0MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	403
0	84	394
1	281	378
2	1920	378
0	8211	365

Stop Event

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

Counts

28 → 411

Calls

Call 1

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

Outputs
(.f64 (/.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)) (.f64 x x)) (.f64 x x)) (/.f64 (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 #s(literal -1/6 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))))
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(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 x (.f64 #s(literal -23/360 binary64) x))

eval183.0ms (1.7%)

Memory: -11.7MiB live, 175.7MiB allocated; 37ms collecting garbage
Compiler: Compiled 21 975 to 2 094 computations (90.5% saved)

prune45.0ms (0.4%)

Memory

0.9MiB live, 51.2MiB allocated; 1ms collecting garbage

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	465	6	471
Fresh	5	9	14
Picked	3	2	5
Done	0	5	5
Total	473	22	495

Accuracy

100.0%

Counts

495 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(/.f64 (-.f64 (.f64 (tan.f64 x) x) (.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	54.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	81.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	54.2%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	99.6%	#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))))
	99.2%	#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))))))
▶	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) (* x x)) (.f64 (.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.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)) (*.f64 x x)))
	99.4%	#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)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x)) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
▶	99.2%	#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))
	54.3%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
✓	99.4%	#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))
✓	99.2%	#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))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	31.4%	#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))
	75.0%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 934 to 611 computations (34.6% saved)

simplify221.0ms (2%)

Memory

-0.6MiB live, 189.4MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
cost-diff	1	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
cost-diff	1	(-.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)))
cost-diff	2	(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
cost-diff	2	(/.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)))
cost-diff	6	(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
cost-diff	0	#s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64))
cost-diff	0	(.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
cost-diff	0	(.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	2	(fma.f64 (.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.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)) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	610
0	91	599
1	170	573
2	506	555
3	2562	541
4	7821	541
0	8107	528

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.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)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (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)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.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)) (*.f64 x x))
(.f64 (.f64 (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)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.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)) (*.f64 x x) #s(literal 1/6 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)
x
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x #s(literal 1/6 binary64)) x)
(.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
#s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #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)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
(.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (*.f64 x x))
(.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) x)
#s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x x)
x
(-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#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)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) 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)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) x))
(/.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)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))
(-.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 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) x)
(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
#s(literal -23/360 binary64)
(*.f64 x x)
x
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
(-.f64 (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))) x)
(/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))
(-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

localize561.0ms (5.2%)

Memory

41.0MiB live, 795.0MiB allocated; 115ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
accuracy	0.244472509768442	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.28800415068692853	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
accuracy	0.52734375	(/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
accuracy	0.244472509768442	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.28800415068692853	#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))
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	29.587611724767605	(/.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)))
accuracy	0.20703125	(.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (*.f64 x x))
accuracy	0.244472509768442	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.28800415068692853	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
accuracy	0.34708114246289123	#s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64))
accuracy	0.153075289076504	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.4713283066034055	#s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x))
accuracy	0.48828125	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0.09765625	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.13671875	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.140625	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.20703125	(.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)) (*.f64 x x))

Samples

257.0ms	142×	2	valid
126.0ms	45×	3	valid
72.0ms	65×	1	valid
5.0ms	1×	5	exit
1.0ms	3×	0	valid

Compiler

Compiled 470 to 52 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

adjust: 102.0ms (28% of total)

ival-mult: 98.0ms (26.9% of total)

ival-sin: 63.0ms (17.3% of total)

const: 46.0ms (12.6% of total)

ival-sub: 26.0ms (7.1% of total)

ival-div: 18.0ms (4.9% of total)

ival-add: 6.0ms (1.6% of total)

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

ival-tan: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

0.6MiB live, 47.0MiB allocated; 4ms collecting garbage

Counts

29 → 74

Calls

Call 1

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

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
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (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))))
(* x (+ 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))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 6))
(* -23/360 (pow x 3))
(* 529/129600 (pow x 4))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(/ (* 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 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))
(* (pow x 6) (- (* 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))
(* -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 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 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

inf

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

6.0ms

-inf

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

4.0ms

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

simplify109.0ms (1%)

Memory

6.1MiB live, 148.9MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	770
1	511	770
2	1596	756
3	5093	755
0	8199	745

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

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
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (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))))
(* x (+ 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))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 6))
(* -23/360 (pow x 3))
(* 529/129600 (pow x 4))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(/ (* 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 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))
(* (pow x 6) (- (* 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))
(* -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 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 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))

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 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (-.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.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.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) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (.f64 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 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(* -1/36 (pow x 2))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) x) x)
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))
(* 529/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* 529/129600 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 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)
(* -11/15120 (pow x 2))
(.f64 (.f64 #s(literal -11/15120 binary64) 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))
(* -143/604800 (pow x 2))
(.f64 (.f64 #s(literal -143/604800 binary64) x) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 23/10 (pow x 2)) 6))
(.f64 (-.f64 (.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64)) x)
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(.f64 (fma.f64 #s(literal -529/600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64))) x)
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 12167/36000 binary64) (.f64 x x)) #s(literal 529/600 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 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 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)))
(* (pow x 6) (- (* 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 6 binary64)))
(* -143/604800 (pow x 4))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 (/.f64 #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)))
(* -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 (-.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 5 binary64)))
(* -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 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)))
(* -23/360 (pow x 4))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 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)))
(* -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)))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 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 3 binary64)))
(/ -360/23 x)
(/.f64 #s(literal -360/23 binary64) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(-.f64 (/.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) x))
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 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 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -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 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal -360/23 binary64)) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))

rewrite194.0ms (1.8%)

Memory

-9.6MiB live, 265.2MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	477
0	91	446
1	308	406
2	2218	404
0	8387	396

Stop Event

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

Counts

29 → 748

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (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)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (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)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (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)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 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)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (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)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (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)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.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)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (.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)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.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)) x) x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.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)) x) x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(fma.f64 (.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)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.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)) x) x) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)))
(+.f64 (.f64 (.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)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.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)) x) x) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)))
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(.f64 #s(literal 23/360 binary64) (fabs.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x)))
(.f64 (.f64 x x) (fabs.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(.f64 (.f64 x x) (fabs.f64 (.f64 #s(literal -23/360 binary64) (.f64 (*.f64 #s(literal -23/360 binary64) x) x))))
(.f64 (.f64 x x) (pow.f64 (*.f64 (neg.f64 x) #s(literal -23/360 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 #s(literal -23/360 binary64) x) #s(literal 2 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 (*.f64 #s(literal -23/360 binary64) x) x)))
(pow.f64 (neg.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)))
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal -23/360 binary64) x) x)) #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)
(.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #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 (*.f64 x x) #s(literal -143/604800 binary64) #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 (*.f64 x x) #s(literal -143/604800 binary64) #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 (*.f64 x x) #s(literal -143/604800 binary64) #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 (*.f64 x x) #s(literal -143/604800 binary64) #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 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) (neg.f64 x)) (neg.f64 x))
(.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)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)))
(.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #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)) (.f64 x 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 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #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)) (.f64 x 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 #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 (.f64 x x) #s(literal -143/604800 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -143/604800 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 x #s(literal -23/360 binary64))
#s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 x (.f64 #s(literal -23/360 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
(.f64 (/.f64 x (-.f64 (.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 4 binary64)) #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #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 (*.f64 x x) #s(literal -23/2160 binary64))))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (.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 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
(/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))

eval185.0ms (1.7%)

Memory: 28.7MiB live, 352.5MiB allocated; 88ms collecting garbage
Compiler: Compiled 42 951 to 4 425 computations (89.7% saved)

prune44.0ms (0.4%)

Memory

-29.6MiB live, 68.3MiB allocated; 20ms collecting garbage

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	932	7	939
Fresh	5	5	10
Picked	2	3	5
Done	0	7	7
Total	939	22	961

Accuracy

100.0%

Counts

961 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(/.f64 (-.f64 (.f64 (tan.f64 x) x) (.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	54.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	81.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	54.2%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	99.6%	#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))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) (.f64 x x)) x)))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) x) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
✓	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.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)) (*.f64 x x)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x)) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	54.3%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x))
	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x #s(approx (/ x (- ( -23/360 (* x x)) 1/6)) (*.f64 #s(literal -6 binary64) x)))))
✓	99.4%	#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))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))) x) #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
	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))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 1 488 to 589 computations (60.4% saved)

regimes17.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Counts

38 → 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 (.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 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) (.f64 x x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))) x) #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.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 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) (* x x)) (.f64 (.f64 #s(literal -1/36 binary64) x) x)) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (- ( 529/129600 (pow x 4)) 1/36) #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)) (/.f64 (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) x) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x)) x) x (*.f64 #s(literal 1/6 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 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.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)) (*.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 (-.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)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x #s(approx (/ x (- ( -23/360 (* x x)) 1/6)) (*.f64 #s(literal -6 binary64) x)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #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 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 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))
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 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))))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x))
(/.f64 (-.f64 (.f64 (tan.f64 x) x) (.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

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:

9.0ms	x
6.0ms	(/.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)

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

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.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)) (*.f64 x x)))

Calls

2 calls:

5.0ms	x
3.0ms	(/.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)

regimes10.0ms (0.1%)

Memory

-36.5MiB live, 12.3MiB allocated; 2ms collecting garbage

Counts

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

Outputs
#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)))

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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 (.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 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) (.f64 x x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))) x) #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 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))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms 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 (.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 (fma.f64 (.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(approx ( (- (* -11/15120 (* x x)) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) (.f64 x x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (- (* 529/129600 (pow x 4)) 1/36) #s(literal -1/36 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1/6 binary64))) x) #s(approx (- (* 529/129600 (pow x 4)) 1/36) #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:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.2%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.2%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-12%)

Threshold costs -0.1b (-12%)

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 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
98.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
98.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify47.0ms (0.4%)

Memory

-16.3MiB live, 30.1MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	163
1	61	163
2	72	163
3	79	163
4	88	163
5	109	163
6	159	163
7	301	163
8	892	163
9	4137	163

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations495.0ms (4.6%)

Memory

17.4MiB live, 289.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	260
0	63	260
1	211	260
2	1375	260
0	8454	260
0	54	403
0	84	394
1	281	378
2	1920	378
0	8211	365
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226

Stop Event

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

Compiler

Compiled 163 to 48 computations (70.6% saved)

preprocess44.0ms (0.4%)

Memory: 23.2MiB live, 68.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 350 to 114 computations (67.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample4.7s (43.8%)

explain364.0ms (3.4%)

preprocess331.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify285.0ms (2.6%)

localize125.0ms (1.2%)

series4.0ms (0%)

simplify181.0ms (1.7%)

rewrite192.0ms (1.8%)

eval40.0ms (0.4%)

prune7.0ms (0.1%)

simplify178.0ms (1.6%)

localize476.0ms (4.4%)

series15.0ms (0.1%)

simplify148.0ms (1.4%)

rewrite194.0ms (1.8%)

eval96.0ms (0.9%)

prune73.0ms (0.7%)

simplify135.0ms (1.2%)

localize466.0ms (4.3%)

series35.0ms (0.3%)

simplify192.0ms (1.8%)

rewrite342.0ms (3.2%)

eval183.0ms (1.7%)

prune45.0ms (0.4%)

simplify221.0ms (2%)

localize561.0ms (5.2%)

series22.0ms (0.2%)

simplify109.0ms (1%)

rewrite194.0ms (1.8%)

eval185.0ms (1.7%)

prune44.0ms (0.4%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify47.0ms (0.4%)

derivations495.0ms (4.6%)

preprocess44.0ms (0.4%)

end0.0ms (0%)

Profiling