Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.8s (38%)

Memory

-10.3MiB live, 3 559.9MiB allocated

Samples

2.9s	5 637×	2	valid
454.0ms	2 484×	1	valid
9.0ms	135×	0	valid

Precisions

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

ival-sin: 2.1s (71.2% of total)

adjust: 285.0ms (9.6% of total)

ival-div: 239.0ms (8.1% of total)

ival-sub: 127.0ms (4.3% of total)

ival-<=: 111.0ms (3.8% of total)

ival-tan: 62.0ms (2.1% of total)

ival-and: 12.0ms (0.4% of total)

exact: 11.0ms (0.4% of total)

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

Bogosity

explain241.0ms (2.4%)

Memory

4.5MiB live, 117.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
98	0	-	0	-	`(-.f64 x (sin.f64 x))`
46	1	(4.729611711451334e-162)	4	(-4.1589727050676904e-105)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	98	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	43	0
↳	`(-.f64 x (sin.f64 x))`	underflow	158

Confusion

	Predicted +	Predicted -
+	140	0
-	1	115

Precision

0.9929078014184397

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	1	0	115

Precision?

0.9929078014184397

Recall?

1.0

Freqs

test

number	freq
0	115
1	141

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

180.0ms	346×	2	valid
19.0ms	160×	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: 179.0ms

ival-sin: 120.0ms (67.2% of total)

ival-div: 35.0ms (19.6% of total)

adjust: 12.0ms (6.7% of total)

ival-sub: 7.0ms (3.9% of total)

ival-tan: 4.0ms (2.2% of total)

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

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

preprocess454.0ms (4.5%)

Memory

-1.5MiB live, 120.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify421.0ms (4.2%)

Memory

-52.8MiB live, 94.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (0.9%)

Memory

32.3MiB live, 70.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	9.422520555931484	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	21.75339345716948	(-.f64 x (sin.f64 x))

Samples

74.0ms	173×	2	valid
10.0ms	80×	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: 73.0ms

ival-sin: 57.0ms (77.9% of total)

adjust: 6.0ms (8.2% of total)

ival-div: 4.0ms (5.5% of total)

ival-sub: 4.0ms (5.5% of total)

ival-tan: 2.0ms (2.7% of total)

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

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

series3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 22

Calls

Call 1

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

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

Calls

3 calls:

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

simplify327.0ms (3.2%)

Memory

-14.0MiB live, 142.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite199.0ms (2%)

Memory

7.5MiB live, 249.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 170

Calls

Call 1

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

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

eval22.0ms (0.2%)

Memory: -19.2MiB live, 56.8MiB allocated
Compiler: Compiled 4 374 to 721 computations (83.5% saved)

prune5.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

99.8%

Counts

190 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.5%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.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))))
▶	99.6%	#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))
▶	99.5%	#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))
▶	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 196 to 132 computations (32.7% saved)

simplify125.0ms (1.2%)

Memory

-22.4MiB live, 103.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize256.0ms (2.5%)

Memory

32.0MiB live, 465.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.16015625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.40206657706989724	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	9.422520555931484	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.04828241572897675	#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	0.1328125	(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.15234375	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
accuracy	0.28125	(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0078125	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.09425833836011437	#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	0.12890625	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.2734375	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.2265625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.45886492203719353	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.14453125	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.15234375	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.1640625	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.2265625	(.f64 (.f64 x x) #s(literal 1/6 binary64))

Samples

169.0ms	173×	2	valid
50.0ms	80×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 246 to 37 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-sin: 40.0ms (23.4% of total)

ival-mult: 38.0ms (22.2% of total)

const: 31.0ms (18.1% of total)

adjust: 28.0ms (16.4% of total)

ival-sub: 10.0ms (5.8% of total)

ival-add: 8.0ms (4.7% of total)

ival-pow: 8.0ms (4.7% of total)

ival-div: 5.0ms (2.9% of total)

ival-tan: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

3.9MiB live, 41.5MiB allocated

Counts

24 → 61

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	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) x) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -11/15120 (* x x)) (tan x))
6.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -11/15120 (* x x)) (tan x))
5.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -11/15120 (* x x)) (tan x))

Time

Variable

Point

Expression

7.0ms

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

6.0ms

inf

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

5.0ms

-inf

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

simplify126.0ms (1.2%)

Memory

-18.5MiB live, 220.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

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

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

rewrite283.0ms (2.8%)

Memory

-5.6MiB live, 194.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

24 → 384

Calls

Call 1

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

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

eval141.0ms (1.4%)

Memory: 14.2MiB live, 88.0MiB allocated
Compiler: Compiled 21 660 to 2 426 computations (88.8% saved)

prune75.0ms (0.7%)

Memory

5.3MiB live, 43.8MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	519	14	533
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	521	17	538

Accuracy

100.0%

Counts

538 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x))
	84.5%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.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))))
	29.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
▶	99.5%	#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))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.4%	#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))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
✓	99.6%	#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))
✓	99.5%	#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))
▶	52.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
▶	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	73.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
▶	27.4%	#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 825 to 520 computations (37% saved)

simplify153.0ms (1.5%)

Memory

-10.0MiB live, 112.5MiB allocated

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	#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 (.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	51	503
0	77	497
1	136	497
2	344	497
3	1150	497
4	2217	497
5	2830	497
6	3333	497
7	3594	497
8	4311	497
9	5744	497
0	8140	485

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

localize513.0ms (5.1%)

Memory

3.4MiB live, 245.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09425833836011437	#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	0.250663769536884	(/.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	0.2623825195368841	(.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
accuracy	0.309257519536884	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.0	#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))))
accuracy	0.09425833836011437	#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	0.2109375	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	45.87484125454471	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.2109375	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.2734375	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
accuracy	0.328125	(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
accuracy	28.214917421991736	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
accuracy	0.09425833836011437	#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	0.12890625	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.2734375	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.4582563676085904	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.15234375	(.f64 (.f64 x x) #s(literal -143/604800 binary64))
accuracy	0.1640625	(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.2265625	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.305351269536884	(.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

266.0ms	173×	2	valid
116.0ms	4×	0	valid
53.0ms	79×	1	valid

Compiler

Compiled 343 to 40 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 70.0ms (33.8% of total)

ival-sin: 41.0ms (19.8% of total)

const: 33.0ms (15.9% of total)

adjust: 28.0ms (13.5% of total)

ival-sub: 14.0ms (6.8% of total)

ival-div: 11.0ms (5.3% of total)

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

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

ival-tan: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

27 → 52

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify145.0ms (1.4%)

Memory

-22.8MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	474
1	301	474
2	876	458
3	2696	444
4	7562	444
0	8353	428

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

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

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

rewrite180.0ms (1.8%)

Memory

38.4MiB live, 189.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	425
0	77	419
1	244	403
2	1582	403
0	8637	389

Stop Event

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

Counts

27 → 331

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

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

eval94.0ms (0.9%)

Memory: -23.7MiB live, 100.3MiB allocated
Compiler: Compiled 20 925 to 1 886 computations (91% saved)

prune18.0ms (0.2%)

Memory

4.9MiB live, 43.8MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	397	8	405
Fresh	5	4	9
Picked	4	1	5
Done	0	3	3
Total	406	16	422

Accuracy

100.0%

Counts

422 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	#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))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) (* x x)) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #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)))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.4%	#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))
✓	99.6%	#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))
✓	99.5%	#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))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
▶	52.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x) x))
	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
✓	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	52.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
✓	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))))
	73.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 780 to 505 computations (35.3% saved)

simplify156.0ms (1.5%)

Memory

-26.7MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x) x))
cost-diff	0	(fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
cost-diff	0	(.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x))
cost-diff	2	(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	538
0	73	530
1	135	530
2	335	530
3	980	530
4	2194	530
5	2764	530
6	2953	530
7	3206	530
8	3823	530
9	5045	530
10	7964	530
0	8022	530

Stop Event

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

Calls

Call 1

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

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

localize327.0ms (3.2%)

Memory

20.4MiB live, 456.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.15234375	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.1640625	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.2265625	(.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))
accuracy	0.2734375	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x)
accuracy	0.328125	(.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
accuracy	0.46549128278136226	#s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy	28.214917421991736	(.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
accuracy	0.10546875	(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
accuracy	0.12890625	(.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x)
accuracy	0.27734375	(fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
accuracy	0.309257519536884	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.09425833836011437	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.23046875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.15234375	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.1640625	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.171875	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.28515625	(fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))

Samples

227.0ms	173×	2	valid
63.0ms	79×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 380 to 40 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

adjust: 70.0ms (29% of total)

ival-mult: 61.0ms (25.2% of total)

ival-sin: 52.0ms (21.5% of total)

const: 25.0ms (10.3% of total)

ival-sub: 11.0ms (4.6% of total)

ival-div: 8.0ms (3.3% of total)

ival-add: 8.0ms (3.3% of total)

ival-pow: 5.0ms (2.1% of total)

ival-tan: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

27 → 60

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x))
(.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x)
(fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) 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)))
(.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 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) 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 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(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)
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -23/360 (pow x 2))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(/ (* 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 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -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))
(* -23/360 x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(- (* 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))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify152.0ms (1.5%)

Memory

-16.4MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	642
1	356	642
2	1171	623
3	3924	614
0	8267	594

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 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))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(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)
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -23/360 (pow x 2))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(/ (* 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 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -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))
(* -23/360 x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(- (* 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))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.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 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 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)
(* 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)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(+ 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 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 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 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(* -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 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x)
(* -143/604800 (pow x 2))
(.f64 (.f64 #s(literal -143/604800 binary64) x) x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x))
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 (/.f64 #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 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 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 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 7 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))))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.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)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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))))
(* (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 (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 (pow.f64 x #s(literal 4 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))))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64))
(* -143/604800 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 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))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -143/604800 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)

rewrite342.0ms (3.4%)

Memory

24.5MiB live, 218.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	447
0	73	439
1	254	439
2	1620	439
0	8730	439

Stop Event

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

Counts

27 → 466

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)) x)
(.f64 x (fma.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 3 binary64))) x) (.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 3 binary64))) x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 3 binary64))) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)))) (.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.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 6 binary64)))) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (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)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.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 6 binary64)))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) (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)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.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 6 binary64)))) x) (fma.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (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)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.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 6 binary64))))) (fma.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) (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)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 (.f64 x (pow.f64 x #s(literal 3 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 #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)) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 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))) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.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 (*.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.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))))
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eval212.0ms (2.1%)

Memory: -25.4MiB live, 93.0MiB allocated
Compiler: Compiled 28 101 to 2 739 computations (90.3% saved)

prune22.0ms (0.2%)

Memory

15.4MiB live, 54.6MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	619	2	621
Fresh	0	7	7
Picked	2	3	5
Done	0	4	4
Total	621	16	637

Accuracy

100.0%

Counts

637 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	#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))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (- (* 529/129600 (pow x 4)) 1/36) (* x x)) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #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 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.4%	#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))
✓	99.6%	#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))
✓	99.5%	#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))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
✓	52.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) x) x))
	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
✓	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	52.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
✓	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) (.f64 x x)))))
	73.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 1 257 to 487 computations (61.3% saved)

regimes18.0ms (0.2%)

Memory

-8.5MiB live, 29.3MiB allocated

Counts

30 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

10.0ms	x
7.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-25.7MiB live, 13.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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:

5.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify59.0ms (0.6%)

Memory

-14.5MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	167
1	82	167
2	137	167
3	234	167
4	345	167
5	416	167
6	520	167
7	792	167
8	1860	167
9	7463	167

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.0s (10%)

Memory

13.3MiB live, 633.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	615
1	501	608
2	1679	598
3	4459	597
0	8324	580
0	118	642
1	356	642
2	1171	623
3	3924	614
0	8267	594
0	39	260
0	63	260
1	211	260
2	1375	260
0	8454	260
0	46	447
0	73	439
1	254	439
2	1620	439
0	8730	439
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226
0	51	425
0	77	419
1	244	403
2	1582	403
0	8637	389

Stop Event

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

Compiler

Compiled 407 to 219 computations (46.2% saved)

preprocess41.0ms (0.4%)

Memory: 30.1MiB live, 68.7MiB allocated
Compiler: Compiled 358 to 142 computations (60.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample3.8s (38%)

explain241.0ms (2.4%)

preprocess454.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify421.0ms (4.2%)

localize90.0ms (0.9%)

series3.0ms (0%)

simplify327.0ms (3.2%)

rewrite199.0ms (2%)

eval22.0ms (0.2%)

prune5.0ms (0.1%)

simplify125.0ms (1.2%)

localize256.0ms (2.5%)

series19.0ms (0.2%)

simplify126.0ms (1.2%)

rewrite283.0ms (2.8%)

eval141.0ms (1.4%)

prune75.0ms (0.7%)

simplify153.0ms (1.5%)

localize513.0ms (5.1%)

series12.0ms (0.1%)

simplify145.0ms (1.4%)

rewrite180.0ms (1.8%)

eval94.0ms (0.9%)

prune18.0ms (0.2%)

simplify156.0ms (1.5%)

localize327.0ms (3.2%)

series12.0ms (0.1%)

simplify152.0ms (1.5%)

rewrite342.0ms (3.4%)

eval212.0ms (2.1%)

prune22.0ms (0.2%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify59.0ms (0.6%)

soundness1.0s (10%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling