Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.2s (20.9%)

Memory

37.5MiB live, 3 563.8MiB allocated

Samples

3.0s	5 657×	2	valid
591.0ms	2 433×	1	valid
11.0ms	166×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-sin: 2.5s (76.5% of total)

adjust: 261.0ms (8% of total)

ival-div: 220.0ms (6.8% of total)

ival-sub: 114.0ms (3.5% of total)

ival-tan: 81.0ms (2.5% of total)

ival-<=: 63.0ms (1.9% of total)

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

exact: 11.0ms (0.3% of total)

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

Bogosity

explain427.0ms (2.2%)

Memory

-17.5MiB live, 434.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
84	171	(-2.990969307994042e-213)	1	(0.30644540837098505)	`(-.f64 x (sin.f64 x))`
61	0	-	61	(5.268613671823236e-110)	`(/.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	254	1

Confusion

	Predicted +	Predicted -
+	141	1
-	113	1

Precision

0.5551181102362205

Recall

0.9929577464788732

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	1	0
-	113	0	1

Precision?

0.5568627450980392

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

222.0ms	358×	2	valid
18.0ms	142×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

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

ival-sin: 129.0ms (75.6% of total)

ival-sub: 15.0ms (8.8% of total)

adjust: 13.0ms (7.6% of total)

ival-div: 9.0ms (5.3% of total)

ival-tan: 4.0ms (2.3% of total)

ival-true: 1.0ms (0.6% of total)

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

preprocess63.0ms (0.3%)

Memory

3.2MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify19.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB 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	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Stop Event

1×	iter limit
1×	saturated
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)

localize144.0ms (0.7%)

Memory

-15.4MiB live, 68.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	12.741715504992067	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	18.367675872231104	(-.f64 x (sin.f64 x))

Samples

127.0ms	179×	2	valid
9.0ms	71×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-sin: 108.0ms (86.9% of total)

adjust: 6.0ms (4.8% of total)

ival-div: 5.0ms (4% of total)

ival-sub: 3.0ms (2.4% of total)

ival-tan: 2.0ms (1.6% of total)

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

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

series4.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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))

simplify211.0ms (1.1%)

Memory

8.2MiB live, 83.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	301	245
2	829	245
3	2499	233
4	5485	231
0	8483	207

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

rewrite335.0ms (1.7%)

Memory

7.4MiB live, 95.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	37	15
2	267	15
3	3099	15
0	9023	15

Stop Event

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

Counts

4 → 481

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

eval91.0ms (0.5%)

Memory: -7.1MiB live, 64.7MiB allocated
Compiler: Compiled 11 155 to 1 553 computations (86.1% saved)

prune105.0ms (0.5%)

Memory

-2.8MiB live, 36.7MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	490	10	500
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	490	11	501

Accuracy

99.9%

Counts

501 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	50.7%	(/.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	50.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	79.6%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	78.7%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	50.7%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 319 to 217 computations (32% saved)

simplify149.0ms (0.7%)

Memory

17.9MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 x))
cost-diff	0	(neg.f64 x)
cost-diff	448	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
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 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.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	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	266
0	61	266
1	110	265
2	204	263
3	476	263
4	1766	263
5	4450	263
6	6673	263
0	8044	263

Stop Event

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

Calls

Call 1

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

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

localize574.0ms (2.9%)

Memory

-27.8MiB live, 406.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (tan.f64 x))
accuracy	60.32387474415216	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
accuracy	0	(tan.f64 x)
accuracy	0.1015625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.8630521962657871	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	12.741715504992067	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.01953125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.07421875	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.359375	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0.16015625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.9709016331648512	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
accuracy	0.078125	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.25253875566875883	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.36328125	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)

Samples

395.0ms	181×	2	valid
69.0ms	69×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 499 to 72 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-tan: 115.0ms (31.6% of total)

ival-sin: 58.0ms (16% of total)

adjust: 46.0ms (12.7% of total)

ival-add: 45.0ms (12.4% of total)

ival-mult: 35.0ms (9.6% of total)

ival-cos: 22.0ms (6.1% of total)

const: 21.0ms (5.8% of total)

ival-div: 9.0ms (2.5% of total)

ival-neg: 4.0ms (1.1% of total)

ival-sub: 4.0ms (1.1% of total)

ival-pow: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

22 → 72

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.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))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (tan.f64 x))
(tan.f64 x)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(cos.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 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))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(pow x 2)
(* 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)
(* -1 x)
(/ -1 x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) 1) x)
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))))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (* 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)))))))
(* -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)))))))
(* -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))))
(* -1 (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(cos x)
(* -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 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

6.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify209.0ms (1.1%)

Memory

15.1MiB live, 125.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	821
1	596	810
2	1854	798
3	4346	775
0	8261	724

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

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))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(pow x 2)
(* 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)
(* -1 x)
(/ -1 x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) 1) x)
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))))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (* 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)))))))
(* -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)))))))
(* -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))))
(* -1 (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(cos x)
(* -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 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #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 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (fma.f64 (.f64 #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))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #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))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 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 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (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 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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))
(* -1 x)
(neg.f64 x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
(fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) 1) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal -1 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)
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ (* 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 -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 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 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 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 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 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 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (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 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (.f64 #s(literal -23/360 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -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 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64) (fma.f64 (*.f64 #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))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(cos x)
(cos.f64 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 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 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 (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 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))

rewrite260.0ms (1.3%)

Memory

15.4MiB live, 248.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	233
0	61	233
1	222	230
2	1466	230
0	8462	230

Stop Event

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

Counts

22 → 529

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #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 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 #s(literal 529/129600 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
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(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (neg.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64)))))
(+.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (sin.f64 x) (tan.f64 x))
(neg.f64 (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) (/.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(+.f64 #s(literal 0 binary64) (cos.f64 x))

eval285.0ms (1.4%)

Memory: -186.8MiB live, 129.1MiB allocated
Compiler: Compiled 20 863 to 2 619 computations (87.4% saved)

prune20.0ms (0.1%)

Memory

21.5MiB live, 60.9MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	652	9	661
Fresh	3	2	5
Picked	1	4	5
Done	1	0	1
Total	657	15	672

Accuracy

100.0%

Counts

672 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.7%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	50.7%	(/.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
▶	50.7%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 584 to 365 computations (37.5% saved)

simplify125.0ms (0.6%)

Memory

-5.1MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 x (tan.f64 x))
cost-diff	0	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 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 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
cost-diff	0	(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	369
0	71	361
1	130	351
2	204	351
3	476	351
4	1113	351
5	2043	351
6	2473	351
7	3362	351
8	7746	351
0	8163	351

Stop Event

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

Calls

Call 1

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

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

localize979.0ms (4.9%)

Memory

2.3MiB live, 520.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.01953125	(/.f64 x (tan.f64 x))
accuracy	31.534193856916747	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
accuracy	0.16015625	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.25253875566875883	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.01953125	(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
accuracy	0.125	(*.f64 #s(literal -11/15120 binary64) x)
accuracy	0.16015625	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
accuracy	0.078125	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.25253875566875883	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.36328125	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.965202756545376	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.01953125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.01953125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.07421875	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))

Samples

501.0ms	181×	2	valid
382.0ms	69×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 676 to 90 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

const: 199.0ms (23.6% of total)

adjust: 182.0ms (21.5% of total)

ival-sub: 167.0ms (19.8% of total)

ival-tan: 93.0ms (11% of total)

ival-add: 52.0ms (6.2% of total)

ival-mult: 49.0ms (5.8% of total)

ival-sin: 47.0ms (5.6% of total)

ival-div: 32.0ms (3.8% of total)

ival-cos: 22.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

22 → 70

Calls

Call 1

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

Outputs
(* 1/6 x)
(* x (+ 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))
(* (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))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
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))))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -11/15120 x)
(* -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))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -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))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -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)))))))
(* -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)))))))
(* -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))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 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))
(/ (sin x) (cos x))
(cos x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -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 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify177.0ms (0.9%)

Memory

-19.4MiB live, 141.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	818
1	576	815
2	1735	798
3	5002	785
0	8218	733

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 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))
(* (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))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
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))))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -11/15120 x)
(* -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))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -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))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -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)))))))
(* -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)))))))
(* -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))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 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))
(/ (sin x) (cos x))
(cos x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -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 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Outputs
(* 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))))
(fma.f64 (fma.f64 (.f64 #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))
(* 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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #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 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) x)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 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)))
(* -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 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 15120/11 binary64) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -15120/11 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (/.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 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 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 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #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 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.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 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* -11/15120 (pow x 2))
(.f64 (.f64 #s(literal -11/15120 binary64) x) x)
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 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 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -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 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 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 (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 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))

rewrite8.3s (41.8%)

Memory

26.9MiB live, 268.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	326
0	71	318
1	311	308
2	1573	308
0	8494	308

Stop Event

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

Counts

22 → 640

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
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(.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 #s(literal -11/15120 binary64) x) x))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))) (.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 #s(literal -11/15120 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)) #s(literal 529/129600 binary64))) (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))))
(/.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64))) (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 #s(literal -11/15120 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64)) (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 #s(literal -11/15120 binary64) x) x)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64) #s(literal -12167/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 #s(literal -11/15120 binary64) x) #s(literal -23/360 binary64))
(-.f64 (/.f64 #s(literal 529/129600 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 (.f64 #s(literal -11/15120 binary64) x) x))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (-.f64 #s(literal -23/360 binary64) (.f64 (*.f64 #s(literal -11/15120 binary64) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64))) (neg.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal 23/360 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 #s(literal -11/15120 binary64) x) x))
(*.f64 #s(literal -11/15120 binary64) x)
(*.f64 x #s(literal -11/15120 binary64))
(/.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal -1 binary64)))

eval350.0ms (1.8%)

Memory: -33.1MiB live, 126.1MiB allocated
Compiler: Compiled 22 001 to 2 356 computations (89.3% saved)

prune123.0ms (0.6%)

Memory

22.3MiB live, 60.9MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	597	6	603
Fresh	3	3	6
Picked	1	4	5
Done	0	4	4
Total	601	17	618

Accuracy

100.0%

Counts

618 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.7%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	50.7%	(/.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	50.7%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
▶	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	27.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
▶	26.9%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	98.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 763 to 374 computations (51% saved)

simplify324.0ms (1.6%)

Memory

7.2MiB live, 129.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 x (sin.f64 x))
cost-diff	0	(-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
cost-diff	128	(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
cost-diff	6272	(-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	6784	(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
cost-diff	16064	(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	559
0	76	457
1	154	427
2	401	415
3	2597	411
4	5022	411
0	8368	409

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(literal 1/6 binary64)
(-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) x) x)
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))
(/.f64 x (sin.f64 x))
x
(sin.f64 x)
#s(literal 1 binary64)
(cos.f64 x)

localize414.0ms (2.1%)

Memory

-6.8MiB live, 426.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.00390625	(/.f64 x (sin.f64 x))
accuracy	0.01171875	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
accuracy	31.527441451381183	(-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))
accuracy	0.16015625	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
accuracy	0.46484375	(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
accuracy	46.03720509897671	(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.3671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.46484375	(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
accuracy	0.01953125	(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.07421875	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	0.972244581055214	#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.01953125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.11328125	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.294876261906019	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))

Samples

254.0ms	180×	2	valid
80.0ms	70×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 1 035 to 90 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-mult: 80.0ms (29.5% of total)

ival-sin: 70.0ms (25.8% of total)

ival-div: 52.0ms (19.2% of total)

adjust: 27.0ms (10% of total)

const: 16.0ms (5.9% of total)

ival-sub: 11.0ms (4.1% of total)

ival-add: 8.0ms (3% of total)

ival-cos: 5.0ms (1.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

9.1MiB live, 47.4MiB allocated

Counts

27 → 76

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))
(/.f64 x (sin.f64 x))
(sin.f64 x)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(cos.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 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* 529/129600 (pow x 8))
(* (pow x 8) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 8) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* -23/360 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) 1/6))
(* -1/36 (pow x 4))
(* (pow x 4) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36))
(* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 31/15120 (* 127/604800 (pow x 2))))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
x
(* 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))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -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))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -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))))))
(* 121/228614400 (pow x 12))
(* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120))
(* (pow x 12) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(/ x (sin x))
(* x (- (/ 1 (sin x)) (/ 1 x)))
(sin x)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(cos x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ 1 x) (/ 1 (sin x)))))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

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

5.0ms

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

4.0ms

-inf

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

simplify338.0ms (1.7%)

Memory

-12.4MiB live, 189.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	816
1	635	808
2	1801	797
3	5128	791
0	8131	730

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

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 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* 529/129600 (pow x 8))
(* (pow x 8) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 8) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* -23/360 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) 1/6))
(* -1/36 (pow x 4))
(* (pow x 4) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36))
(* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 31/15120 (* 127/604800 (pow x 2))))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
x
(* 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))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -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))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -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))))))
(* 121/228614400 (pow x 12))
(* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120))
(* (pow x 12) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(/ x (sin x))
(* x (- (/ 1 (sin x)) (/ 1 x)))
(sin x)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(cos x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ 1 x) (/ 1 (sin x)))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #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)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 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 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(* 529/129600 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64))
(* (pow x 8) (+ 529/129600 (* 253/2721600 (pow x 2))))
(.f64 (fma.f64 #s(literal 253/2721600 binary64) (.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 121/228614400 binary64) (.f64 x x) #s(literal 253/2721600 binary64)) (*.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* -23/360 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* -1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- (* 529/129600 (pow x 4)) 1/36))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 253/2721600 binary64) (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 121/228614400 binary64) (.f64 x x) #s(literal 253/2721600 binary64)) (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))
(fma.f64 #s(literal 7/360 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 31/15120 (* 127/604800 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 127/604800 binary64) (.f64 x x) #s(literal 31/15120 binary64)) (.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #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))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -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 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 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)))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 15120/11 binary64) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -15120/11 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(* 121/228614400 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) #s(literal 121/228614400 binary64)) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) x) x) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 12) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 12 binary64)))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(* x (- (/ 1 (sin x)) (/ 1 x)))
(-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))
(sin x)
(sin.f64 x)
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(cos x)
(cos.f64 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 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (/ 1 x) (/ 1 (sin x)))))
(-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))

rewrite284.0ms (1.4%)

Memory

-8.4MiB live, 347.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	481
0	76	355
1	297	333
2	1975	333
0	8729	331

Stop Event

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

Counts

27 → 1 046

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1296 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))) #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/46656 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
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(cos.f64 x)

eval210.0ms (1.1%)

Memory: 35.0MiB live, 309.3MiB allocated
Compiler: Compiled 70 080 to 4 994 computations (92.9% saved)

prune33.0ms (0.2%)

Memory

-33.8MiB live, 93.5MiB allocated

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	1 202	4	1 206
Fresh	1	3	4
Picked	2	3	5
Done	0	8	8
Total	1 205	18	1 223

Accuracy

100.0%

Counts

1 223 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.7%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	50.7%	(/.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	50.7%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
	50.4%	(.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	99.3%	(.f64 #s(approx (- (/ x (sin x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 127/604800 binary64) (.f64 x x) #s(literal 31/15120 binary64)) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (cos.f64 x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	25.9%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(approx (- (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* 1/6 (* x x))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
✓	98.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 1 260 to 451 computations (64.2% saved)

regimes16.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB 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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(approx (- (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* 1/6 (* x x))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 #s(approx (- (/ x (sin x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 127/604800 binary64) (.f64 x x) #s(literal 31/15120 binary64)) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (cos.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-26.8MiB live, 11.3MiB allocated

Counts

14 → 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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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:

6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
4.0ms	x

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

12 → 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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

7 → 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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -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 (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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
98.3%	1	`x`
98.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify54.0ms (0.3%)

Memory

-6.8MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	194
1	77	194

Stop Event

1×

saturated

Calls

Call 1

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

soundness908.0ms (4.6%)

Memory

-12.8MiB live, 459.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	821
1	596	810
2	1854	798
3	4346	775
0	8261	724
0	105	261
1	301	245
2	829	245
3	2499	233
4	5485	231
0	8483	207
0	199	818
1	576	815
2	1735	798
3	5002	785
0	8218	733
0	35	233
0	61	233
1	222	230
2	1466	230
0	8462	230

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×	node limit

Compiler

Compiled 364 to 173 computations (52.5% saved)

preprocess77.0ms (0.4%)

Memory: 0.2MiB live, 120.3MiB allocated
Remove: (abs x)
Compiler: Compiled 512 to 210 computations (59% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

start0.0ms (0%)

analyze2.0ms (0%)

sample4.2s (20.9%)

explain427.0ms (2.2%)

preprocess63.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.1%)

localize144.0ms (0.7%)

series4.0ms (0%)

simplify211.0ms (1.1%)

rewrite335.0ms (1.7%)

eval91.0ms (0.5%)

prune105.0ms (0.5%)

simplify149.0ms (0.7%)

localize574.0ms (2.9%)

series15.0ms (0.1%)

simplify209.0ms (1.1%)

rewrite260.0ms (1.3%)

eval285.0ms (1.4%)

prune20.0ms (0.1%)

simplify125.0ms (0.6%)

localize979.0ms (4.9%)

series9.0ms (0%)

simplify177.0ms (0.9%)

rewrite8.3s (41.8%)

eval350.0ms (1.8%)

prune123.0ms (0.6%)

simplify324.0ms (1.6%)

localize414.0ms (2.1%)

series19.0ms (0.1%)

simplify338.0ms (1.7%)

rewrite284.0ms (1.4%)

eval210.0ms (1.1%)

prune33.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify54.0ms (0.3%)

soundness908.0ms (4.6%)

preprocess77.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16