Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample4.1s (25.5%)

Memory

-79.2MiB live, 3 546.4MiB allocated

Samples

3.2s	5 647×	2	valid
459.0ms	2 467×	1	valid
9.0ms	142×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-sin: 2.2s (65.9% of total)

adjust: 403.0ms (12.3% of total)

ival-div: 242.0ms (7.4% of total)

ival-<=: 198.0ms (6% of total)

ival-sub: 153.0ms (4.7% of total)

ival-tan: 98.0ms (3% of total)

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

exact: 12.0ms (0.4% of total)

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

Bogosity

explain285.0ms (1.8%)

Memory

4.1MiB live, 159.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
101	1	(-4.373383698721264e-108)	0	-	`(-.f64 x (sin.f64 x))`
51	3	(7.649795835172258e-162)	6	(-1.592439041988654e-103)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	102	1
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	48	0
↳	`(-.f64 x (sin.f64 x))`	underflow	153

Confusion

	Predicted +	Predicted -
+	147	0
-	3	106

Precision

0.98

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	147	0	0
-	3	1	105

Precision?

0.9735099337748344

Recall?

1.0

Freqs

test

number	freq
0	106
1	150

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

202.0ms	334×	2	valid
39.0ms	166×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 59 to 24 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-sin: 153.0ms (82.6% of total)

adjust: 12.0ms (6.5% of total)

ival-div: 9.0ms (4.9% of total)

ival-sub: 7.0ms (3.8% of total)

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

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

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

preprocess102.0ms (0.6%)

Memory

-11.9MiB live, 26.0MiB 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
▶	48.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify18.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	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)

localize265.0ms (1.6%)

Memory

-24.1MiB live, 56.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	10.305090825704973	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	22.36176727083091	(-.f64 x (sin.f64 x))

Samples

122.0ms	167×	2	valid
13.0ms	83×	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: 125.0ms

ival-sin: 106.0ms (84.8% of total)

ival-sub: 7.0ms (5.6% of total)

adjust: 6.0ms (4.8% of total)

ival-div: 4.0ms (3.2% 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

5.5MiB live, 5.5MiB 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))

simplify184.0ms (1.1%)

Memory

22.9MiB live, 185.0MiB 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))

rewrite245.0ms (1.5%)

Memory

-18.9MiB live, 266.9MiB 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))
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(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.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)))

eval53.0ms (0.3%)

Memory: -5.1MiB live, 109.2MiB allocated
Compiler: Compiled 11 155 to 1 553 computations (86.1% saved)

prune12.0ms (0.1%)

Memory

-2.8MiB live, 41.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	493	7	500
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	493	8	501

Accuracy

99.8%

Counts

501 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))) (.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))
✓	48.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	82.8%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	48.2%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
▶	99.5%	#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))
▶	99.5%	#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))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 307 to 167 computations (45.6% saved)

simplify166.0ms (1%)

Memory

5.7MiB live, 164.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 x (tan.f64 x))
cost-diff	128	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.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	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(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: 0 (0.0ms)

Iter	Nodes	Cost
0	32	273
0	57	272
1	103	272
2	180	272
3	397	272
4	879	272
5	1780	272
6	2005	272
7	2856	272
8	7047	272
0	8126	272

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

localize513.0ms (3.2%)

Memory

-16.5MiB live, 315.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (cos.f64 x))
accuracy	0	(cos.f64 x)
accuracy	0.0078125	(/.f64 x (tan.f64 x))
accuracy	33.12127440357559	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
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	0.12134745411392339	#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	0.13671875	(.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	0.36328125	(.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	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1484375	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.3671875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0.265625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.7087615943405945	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(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))
accuracy	0.09221054624242425	#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	0.13671875	(.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

366.0ms	168×	2	valid
100.0ms	83×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 516 to 67 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

adjust: 82.0ms (19.8% of total)

ival-tan: 79.0ms (19.1% of total)

const: 69.0ms (16.7% of total)

ival-cos: 46.0ms (11.1% of total)

ival-add: 43.0ms (10.4% of total)

ival-sin: 40.0ms (9.7% of total)

ival-mult: 36.0ms (8.7% of total)

ival-div: 10.0ms (2.4% of total)

ival-neg: 5.0ms (1.2% of total)

ival-sub: 4.0ms (1% of total)

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

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

series13.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

20 → 66

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (/ x (tan x)) (neg (cos x))) (/ x (tan x)) (tan x) (neg (cos x)) (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)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (/ x (tan x)) (neg (cos x))) (/ x (tan x)) (tan x) (neg (cos x)) (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)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (/ x (tan x)) (neg (cos x))) (/ x (tan x)) (tan x) (neg (cos x)) (cos x))

Time

Variable

Point

Expression

5.0ms

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

simplify182.0ms (1.1%)

Memory

16.5MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	753
1	532	744
2	1592	734
3	4739	721
0	8374	675

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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

rewrite249.0ms (1.5%)

Memory

-0.7MiB live, 158.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	226
0	57	225
1	215	225
2	1524	225
0	8830	225

Stop Event

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

Counts

20 → 503

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 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (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 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 x (tan.f64 x))
(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 (.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)))
(.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)) 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 x (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))) (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 x (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))) (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 (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)
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(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 0 binary64))))
(*.f64 (cos.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 0 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 0 binary64)))
(neg.f64 (cos.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 0 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (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 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.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 (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))

eval173.0ms (1.1%)

Memory: -14.6MiB live, 138.4MiB allocated
Compiler: Compiled 18 659 to 2 371 computations (87.3% saved)

prune56.0ms (0.3%)

Memory

-14.6MiB live, 47.4MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	602	14	616
Fresh	2	0	2
Picked	2	3	5
Done	1	0	1
Total	607	17	624

Accuracy

100.0%

Counts

624 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (/.f64 (tan.f64 x) x))))
▶	48.2%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	48.2%	(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (/.f64 (tan.f64 x) x)))))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x)))))
	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)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x)) x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
✓	99.5%	#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))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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)) (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))
▶	98.6%	#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))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	28.8%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 806 to 477 computations (40.8% saved)

simplify234.0ms (1.5%)

Memory

3.1MiB live, 79.9MiB 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	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
cost-diff	0	#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	128	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #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 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
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 x x)
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	321
0	63	322
1	103	310
2	167	310
3	352	310
4	649	306
5	1224	306
6	1850	304
7	3252	304
8	6888	304
0	8084	296

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 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#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(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.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 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64) (*.f64 #s(literal 1/6 binary64) x))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
#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(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -23/360 binary64) x (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 x (tan.f64 x))
x
(tan.f64 x)
(cos.f64 x)

localize5.3s (32.8%)

Memory

6.0MiB live, 444.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.0078125	(/.f64 x (tan.f64 x))
accuracy	33.12127440357559	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.1875	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	44.94064420939479	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.14453125	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
accuracy	0.09221054624242425	#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	0.13671875	(.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	0.7083050961831777	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1484375	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))

Samples

5.2s	168×	2	valid
89.0ms	83×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 561 to 85 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.2s

ival-tan: 4.5s (87.7% of total)

const: 213.0ms (4.1% of total)

ival-cos: 170.0ms (3.3% of total)

ival-mult: 108.0ms (2.1% of total)

ival-sin: 66.0ms (1.3% of total)

adjust: 27.0ms (0.5% of total)

ival-sub: 23.0ms (0.4% of total)

ival-div: 21.0ms (0.4% of total)

ival-add: 9.0ms (0.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series8.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

20 → 60

Calls

Call 1

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

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(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))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(+ 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)))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
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)))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 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)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(/ (sin x) (cos x))
(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 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- x (sin x)) (tan x)) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* -23/360 (* x x)) 1/6) (* x x) (/ (- 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)) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (- (/ 1/6 (* x x)) 23/360) (- (/ x (tan x)) (cos x)) (/ x (tan x)) (tan x) (cos x) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1/6 (* x x)))

2.0ms

inf

((/ (- x (sin x)) (tan x)) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* -23/360 (* x x)) 1/6) (* x x) (/ (- 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)) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (- (/ 1/6 (* x x)) 23/360) (- (/ x (tan x)) (cos x)) (/ x (tan x)) (tan x) (cos x) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1/6 (* x x)))

2.0ms

((/ (- x (sin x)) (tan x)) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* -23/360 (* x x)) 1/6) (* x x) (/ (- 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)) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (- (/ 1/6 (* x x)) 23/360) (- (/ x (tan x)) (cos x)) (/ x (tan x)) (tan x) (cos x) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1/6 (* x x)))

simplify316.0ms (2%)

Memory

-25.6MiB live, 131.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	691
1	503	688
2	1427	672
3	4179	659
4	7701	659
0	8072	614

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(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))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(+ 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)))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
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)))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 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)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(/ (sin x) (cos x))
(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 (* 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 (*.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 (.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 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 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) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 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)
(* 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 (* (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))
(+ 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))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
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))
(/ (* 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)))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 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)))))))
(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))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 #s(literal 1/6 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 (* 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)))

rewrite497.0ms (3.1%)

Memory

28.7MiB live, 186.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	273
0	63	273
1	238	265
2	1583	265
0	8296	249

Stop Event

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

Counts

20 → 435

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(-.f64 (/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) (.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 x (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))

eval217.0ms (1.3%)

Memory: -17.5MiB live, 104.7MiB allocated
Compiler: Compiled 16 959 to 2 210 computations (87% saved)

prune75.0ms (0.5%)

Memory

12.1MiB live, 50.9MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	564	9	573
Fresh	4	5	9
Picked	3	2	5
Done	0	3	3
Total	571	19	590

Accuracy

100.0%

Counts

590 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	48.2%	(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (/.f64 (tan.f64 x) x)))))
	48.2%	(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
▶	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) #s(literal -1 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 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x)) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.5%	#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))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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)) (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))
✓	98.6%	#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))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	28.0%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 868 to 523 computations (39.7% saved)

simplify251.0ms (1.6%)

Memory

-0.7MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff	320	(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
cost-diff	6272	(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))
cost-diff	7104	(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
cost-diff	8192	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -23/360 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -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 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	(/.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)) (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 (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)) (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 (/.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)) (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 (/.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)) (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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	541
0	85	469
1	167	451
2	417	424
3	1386	416
4	4153	416
5	7565	416
0	9393	414

Stop Event

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

Calls

Call 1

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

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

localize794.0ms (4.9%)

Memory

-9.5MiB live, 509.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.14453125	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
accuracy	0.5537745819695721	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	0.25390625	(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.32259750976844204	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.37109375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	26.00600138176099	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
accuracy	0.265625	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.32259750976844204	(.f64 (.f64 x x) #s(literal -23/360 binary64))
accuracy	0.0078125	(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.1484375	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	0.16186350886556328	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	0.713291429953648	#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.12134745411392339	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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)) (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	0.13671875	(.f64 (.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)) (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	0.36328125	(.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)) (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	0.98828125	(pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64))

Samples

356.0ms	167×	2	valid
209.0ms	83×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 994 to 105 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

ival-sin: 142.0ms (28.3% of total)

ival-mult: 113.0ms (22.5% of total)

ival-sub: 92.0ms (18.4% of total)

adjust: 80.0ms (16% of total)

const: 28.0ms (5.6% of total)

ival-div: 21.0ms (4.2% of total)

ival-add: 11.0ms (2.2% of total)

ival-pow: 6.0ms (1.2% of total)

ival-pow2: 5.0ms (1% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series52.0ms (0.3%)

Memory

-5.4MiB live, 32.2MiB allocated

Counts

25 → 51

Calls

Call 1

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

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -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)))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* -23/360 (pow x 2))
(pow x 2)
(* 529/129600 (pow x 6))
(* -1/6 x)
(* x (- (* -23/360 (pow x 2)) 1/6))
(* 1/36 (pow x 2))
(/ 1 (pow x 2))
529/129600
(+ 529/129600 (* 253/2721600 (pow x 2)))
(+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (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))))))
(* -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))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 121/228614400 (pow x 4))
(* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

40.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) x) x) (* (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) x) (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* (* (* x x) -23/360) (* x x)) (* 1/6 (* x x))) (/ (- x (sin x)) (tan x)) (* (* x x) -23/360) (* x x) (/ (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* (* 1/6 x) (* 1/6 x))) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (- (* (* -23/360 (* x x)) x) (* 1/6 x)) (* (* 1/6 x) (* 1/6 x)) (/ (/ 1 (pow x -2)) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (/ 1 (pow x -2)) (pow x -2) (pow (+ (* -11/15120 (* x x)) -23/360) 2) (* 1/6 (* x x)) (* 1/6 x) (* -23/360 (* x x)) (+ (* -23/360 (* x x)) 1/6))

7.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) x) x) (* (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) x) (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* (* (* x x) -23/360) (* x x)) (* 1/6 (* x x))) (/ (- x (sin x)) (tan x)) (* (* x x) -23/360) (* x x) (/ (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* (* 1/6 x) (* 1/6 x))) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (- (* (* -23/360 (* x x)) x) (* 1/6 x)) (* (* 1/6 x) (* 1/6 x)) (/ (/ 1 (pow x -2)) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (/ 1 (pow x -2)) (pow x -2) (pow (+ (* -11/15120 (* x x)) -23/360) 2) (* 1/6 (* x x)) (* 1/6 x) (* -23/360 (* x x)) (+ (* -23/360 (* x x)) 1/6))

4.0ms

((/ (- x (sin x)) (tan x)) (* (* (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) x) x) (* (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) x) (/ (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6)) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* (* (* x x) -23/360) (* x x)) (* 1/6 (* x x))) (/ (- x (sin x)) (tan x)) (* (* x x) -23/360) (* x x) (/ (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* (* 1/6 x) (* 1/6 x))) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (- (* (* -23/360 (* x x)) x) (* 1/6 x)) (* (* 1/6 x) (* 1/6 x)) (/ (/ 1 (pow x -2)) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (/ 1 (pow x -2)) (pow x -2) (pow (+ (* -11/15120 (* x x)) -23/360) 2) (* 1/6 (* x x)) (* 1/6 x) (* -23/360 (* x x)) (+ (* -23/360 (* x x)) 1/6))

simplify133.0ms (0.8%)

Memory

32.6MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	491
1	408	489
2	1192	483
3	3006	477
4	6493	477
0	8319	443

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

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))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* -23/360 (pow x 2))
(pow x 2)
(* 529/129600 (pow x 6))
(* -1/6 x)
(* x (- (* -23/360 (pow x 2)) 1/6))
(* 1/36 (pow x 2))
(/ 1 (pow x 2))
529/129600
(+ 529/129600 (* 253/2721600 (pow x 2)))
(+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (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))))))
(* -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))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 121/228614400 (pow x 4))
(* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))

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 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 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 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
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 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 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) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(pow x 2)
(*.f64 x x)
(* 529/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* -23/360 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)
(* 1/36 (pow x 2))
(.f64 (.f64 #s(literal 1/36 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
529/129600
#s(literal 529/129600 binary64)
(+ 529/129600 (* 253/2721600 (pow x 2)))
(fma.f64 #s(literal 253/2721600 binary64) (*.f64 x x) #s(literal 529/129600 binary64))
(+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))
(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))
(/ (* 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))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #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 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -1 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)
(* 121/228614400 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 253/2721600 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(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 x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 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 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 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)

rewrite264.0ms (1.6%)

Memory

-32.3MiB live, 258.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	359
0	82	321
1	329	250
2	2445	248
0	8284	243

Stop Event

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

Counts

25 → 810

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (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 (.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)) (*.f64 x x))
(.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)
(.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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (.f64 (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)) (.f64 x x)))
(.f64 (.f64 x x) (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 (.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))
(pow.f64 (.f64 (pow.f64 x #s(literal -2 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))) #s(literal -1 binary64))
(pow.f64 (.f64 (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)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x) x)) (neg.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 (neg.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) (.f64 x x))) (neg.f64 (neg.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 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (.f64 x x))) (neg.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 (neg.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)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x))) (neg.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 (neg.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)) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.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))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.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))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (neg.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)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64))) (neg.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)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x) x) (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 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) (.f64 x x)) (neg.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 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (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 (.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)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x)) (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 (.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)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (neg.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))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (.f64 (neg.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))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (.f64 (neg.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))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) #s(literal -1 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)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) #s(literal 1 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)) (pow.f64 x #s(literal -2 binary64))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))

eval159.0ms (1%)

Memory: 7.0MiB live, 319.9MiB allocated
Compiler: Compiled 36 990 to 4 505 computations (87.8% saved)

prune47.0ms (0.3%)

Memory

30.6MiB live, 70.2MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	968	4	972
Fresh	2	7	9
Picked	3	2	5
Done	0	5	5
Total	973	18	991

Accuracy

100.0%

Counts

991 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	48.2%	(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (/.f64 (tan.f64 x) x)))))
	48.2%	(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))))))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
	98.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 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 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x)) x))
	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) #s(approx (- ( (* -23/360 (* x x)) x) (* 1/6 x)) (*.f64 #s(literal -1/6 binary64) x))) x))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.5%	#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))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 (fma.f64 #s(approx (pow (+ (* -11/15120 (* x x)) -23/360) 2) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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) x))
✓	98.6%	#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))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 1 348 to 498 computations (63.1% saved)

regimes138.0ms (0.9%)

Memory

-52.9MiB live, 41.6MiB allocated

Counts

35 → 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 (+ ( -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 (+ ( -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 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (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 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) #s(approx (- ( (* -23/360 (* x x)) x) (* 1/6 x)) (*.f64 #s(literal -1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 (fma.f64 #s(approx (pow (+ (* -11/15120 (* x x)) -23/360) 2) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 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))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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)) (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 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (/.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (/.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))) (.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))

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

Calls

2 calls:

22.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
9.0ms	x

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory

11.1MiB live, 11.1MiB 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 (+ ( -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 (+ ( -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 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 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
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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 (+ ( -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 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -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
98.7%	1	`x`
98.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB 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:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.1%)

Memory

-29.5MiB live, 9.8MiB 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
98.5%	1	`x`
98.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify110.0ms (0.7%)

Memory

13.0MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	130
1	57	130

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 #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 #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 (+ ( -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 #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 #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 (+ ( -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)))

soundness827.0ms (5.1%)

Memory

-11.2MiB live, 540.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	753
1	532	744
2	1592	734
3	4739	721
0	8374	675
0	105	261
1	301	245
2	829	245
3	2499	233
4	5485	231
0	8483	207
0	185	691
1	503	688
2	1427	672
3	4179	659
4	7701	659
0	8072	614
0	32	226
0	57	225
1	215	225
2	1524	225
0	8830	225

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 242 to 126 computations (47.9% saved)

preprocess36.0ms (0.2%)

Memory: 15.6MiB live, 53.7MiB allocated
Remove: (abs x)
Compiler: Compiled 364 to 172 computations (52.7% 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%)

sample4.1s (25.5%)

explain285.0ms (1.8%)

preprocess102.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.1%)

localize265.0ms (1.6%)

series4.0ms (0%)

simplify184.0ms (1.1%)

rewrite245.0ms (1.5%)

eval53.0ms (0.3%)

prune12.0ms (0.1%)

simplify166.0ms (1%)

localize513.0ms (3.2%)

series13.0ms (0.1%)

simplify182.0ms (1.1%)

rewrite249.0ms (1.5%)

eval173.0ms (1.1%)

prune56.0ms (0.3%)

simplify234.0ms (1.5%)

localize5.3s (32.8%)

series8.0ms (0%)

simplify316.0ms (2%)

rewrite497.0ms (3.1%)

eval217.0ms (1.3%)

prune75.0ms (0.5%)

simplify251.0ms (1.6%)

localize794.0ms (4.9%)

series52.0ms (0.3%)

simplify133.0ms (0.8%)

rewrite264.0ms (1.6%)

eval159.0ms (1%)

prune47.0ms (0.3%)

regimes138.0ms (0.9%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes18.0ms (0.1%)

simplify110.0ms (0.7%)

soundness827.0ms (5.1%)

preprocess36.0ms (0.2%)

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