Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.8s (27.4%)

Memory

23.2MiB live, 3 029.0MiB allocated

Samples

2.9s	5 615×	2	valid
446.0ms	2 477×	1	valid
10.0ms	164×	0	valid

Precisions

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

ival-sin: 2.2s (73.9% of total)

adjust: 217.0ms (7.2% of total)

ival-div: 190.0ms (6.3% of total)

ival-tan: 185.0ms (6.1% of total)

ival-sub: 129.0ms (4.3% of total)

ival-<=: 44.0ms (1.5% of total)

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

exact: 10.0ms (0.3% of total)

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

Bogosity

explain293.0ms (2.1%)

Memory

-5.3MiB live, 325.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
84	170	(-3.2021207533406087e-115)	0	-	`(-.f64 x (sin.f64 x))`
56	0	-	56	(5.013676629395735e-110)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	254	1

Confusion

	Predicted +	Predicted -
+	134	0
-	120	2

Precision

0.5275590551181102

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	120	1	1

Precision?

0.5254901960784314

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

175.0ms	360×	2	valid
17.0ms	142×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

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

ival-sin: 138.0ms (80.7% of total)

adjust: 12.0ms (7% of total)

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

ival-sub: 7.0ms (4.1% of total)

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

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

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

preprocess47.0ms (0.3%)

Memory

25.5MiB live, 64.0MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify22.0ms (0.2%)

Memory

-21.0MiB live, 15.4MiB 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)

localize81.0ms (0.6%)

Memory

9.3MiB live, 131.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	11.308690684425411	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	18.314896145054597	(-.f64 x (sin.f64 x))

Samples

65.0ms	180×	2	valid
9.0ms	71×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sin: 46.0ms (72.9% of total)

ival-div: 6.0ms (9.5% of total)

adjust: 6.0ms (9.5% of total)

ival-sub: 4.0ms (6.3% of total)

ival-tan: 1.0ms (1.6% of total)

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

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

series4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 22

Calls

Call 1

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

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

Calls

3 calls:

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

simplify208.0ms (1.5%)

Memory

-16.8MiB live, 180.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite169.0ms (1.2%)

Memory

27.3MiB live, 217.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 481

Calls

Call 1

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

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

eval352.0ms (2.5%)

Memory: -21.7MiB live, 102.3MiB allocated
Compiler: Compiled 11 155 to 1 553 computations (86.1% saved)

prune15.0ms (0.1%)

Memory

33.8MiB live, 33.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	489	11	500
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	489	12	501

Accuracy

99.9%

Counts

501 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (tan.f64 x))
	2.6%	(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))) (tan.f64 x))
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	53.0%	(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (.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)))) (tan.f64 x))
	81.2%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 571 to 305 computations (46.6% saved)

simplify158.0ms (1.1%)

Memory

-29.5MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (tan.f64 x))
cost-diff	448	(*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
cost-diff	6336	(log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	286
0	61	276
1	104	273
2	181	267
3	430	267
4	1037	267
5	2223	267
6	2476	267
7	2861	267
8	5802	267
0	8033	267

Stop Event

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

Calls

Call 1

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

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

localize553.0ms (3.9%)

Memory

22.0MiB live, 275.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.7684102855452999	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	11.308690684425411	(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (tan.f64 x))
accuracy	18.314896145054597	(-.f64 x (sin.f64 x))
accuracy	42.61883997343217	(log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
accuracy	0	(sin.f64 x)
accuracy	0.5614559175963935	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
accuracy	10.863746982306594	(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
accuracy	18.314896145054597	(-.f64 x (sin.f64 x))
accuracy	0.0078125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.0859375	(.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	0.296875	(.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	0.313645839968775	#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	(*.f64 x x)
accuracy	0.17578125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.7987725061541078	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
accuracy	0.08203125	(.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	0.2088188716534966	#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	0.296875	(.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

377.0ms	147×	1	valid
140.0ms	103×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 550 to 71 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

adjust: 71.0ms (23.8% of total)

ival-sin: 69.0ms (23.1% of total)

ival-mult: 55.0ms (18.4% of total)

const: 50.0ms (16.8% of total)

ival-log: 12.0ms (4% of total)

ival-div: 11.0ms (3.7% of total)

ival-add: 10.0ms (3.4% of total)

ival-exp: 7.0ms (2.3% of total)

ival-pow: 7.0ms (2.3% of total)

ival-sub: 3.0ms (1% of total)

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

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

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

exact: 0.0ms (0% of total)

series1.7s (11.9%)

Memory

-16.7MiB live, 20.0MiB allocated

Counts

22 → 98

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(tan.f64 x)
(-.f64 x (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (tan.f64 x))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(sin.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)
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 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))))
(+ (log 6) (* -3 (log x)))
(+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))
(* -1 (+ (log 6) (* -3 (log x))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 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 (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ (sin x) (cos x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(log (/ 1 x))
(+ (log (/ 1 x)) (/ (sin x) x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(sin x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(* -1 (* x (- (/ (sin x) x) 1)))
(+ (log -1) (log (/ -1 x)))
(+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))
(* -1 (+ (log -1) (log (/ -1 x))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

6.0ms

inf

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

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

3.0ms

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

simplify299.0ms (2.1%)

Memory

6.7MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1461
1	1047	1370
2	3318	1330
0	8293	1260

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

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)
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 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))))
(+ (log 6) (* -3 (log x)))
(+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))
(* -1 (+ (log 6) (* -3 (log x))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 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 (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ (sin x) (cos x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(log (/ 1 x))
(+ (log (/ 1 x)) (/ (sin x) x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(sin x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(* -1 (* x (- (/ (sin x) x) 1)))
(+ (log -1) (log (/ -1 x)))
(+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))
(* -1 (+ (log -1) (log (/ -1 x))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) x)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) 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)
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
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)
(* 1/6 (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)))
(+ (log 6) (* -3 (log x)))
(fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64)))
(+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))
(fma.f64 #s(literal 1/20 binary64) (*.f64 x x) (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/16800 binary64) (.f64 x x) #s(literal 1/20 binary64)) x) x (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/756000 binary64) (.f64 x x) #s(literal 1/16800 binary64)) (*.f64 x x) #s(literal 1/20 binary64)) x) x (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64))))
(* -1 (+ (log 6) (* -3 (log x))))
(neg.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/20 binary64) x) x (neg.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64)))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))
(fma.f64 (.f64 (fma.f64 #s(literal -1/16800 binary64) (.f64 x x) #s(literal -1/20 binary64)) x) x (neg.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64)))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/756000 binary64) (.f64 x x) #s(literal -1/16800 binary64)) (*.f64 x x) #s(literal -1/20 binary64)) x) x (neg.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 6 binary64)))))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(* x (+ 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 (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.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 (/ (+ 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 (/.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 (/ (+ 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 (/.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 (/ (+ 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)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (sin x) (* x (cos x)))
(/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) x) (*.f64 (cos.f64 x) x))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (-.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(log (/ 1 x))
(neg.f64 (log.f64 x))
(+ (log (/ 1 x)) (/ (sin x) x))
(-.f64 (/.f64 (sin.f64 x) x) (log.f64 x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (-.f64 (/.f64 (sin.f64 x) x) (log.f64 x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))
(fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (-.f64 (/.f64 (sin.f64 x) x) (log.f64 x))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))
(-.f64 (log.f64 x) (/.f64 (sin.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))
(fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x) (log.f64 x)))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* -11/15120 (pow x 2))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(sin x)
(sin.f64 x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (cos.f64 x))) x)) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(+ (log -1) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (sin.f64 x) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 x)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) x) #s(literal -1/6 binary64))) x) (sin.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (log (/ -1 x))))
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))
(-.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))
(-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) x)))
(-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) x) #s(literal 1/6 binary64))) x)) (neg.f64 x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))

rewrite375.0ms (2.7%)

Memory

10.0MiB live, 122.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	245
0	61	231
1	209	228
2	1297	226
0	8271	226

Stop Event

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

Counts

22 → 843

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64))))
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(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
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eval394.0ms (2.8%)

Memory: 1.1MiB live, 154.0MiB allocated
Compiler: Compiled 26 767 to 3 723 computations (86.1% saved)

prune68.0ms (0.5%)

Memory

-25.2MiB live, 42.6MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	852	10	862
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	855	19	874

Accuracy

100.0%

Counts

874 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (tan.f64 x))
	2.6%	(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))) (tan.f64 x))
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	53.0%	(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
	82.1%	(/.f64 #s(approx (- x (sin x)) (.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)))) (tan.f64 x))
	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
▶	82.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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))))))
	98.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
	97.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.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)) x))) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#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 904 to 515 computations (43% saved)

simplify216.0ms (1.5%)

Memory

-6.8MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	448	(*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
cost-diff	6336	(log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
cost-diff	6784	(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- x (sin x)) (.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))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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))))))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	504
0	96	496
1	162	481
2	279	473
3	729	469
4	1798	464
5	4160	464
6	5285	464
7	6926	464
0	8198	460

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (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 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.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 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.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)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(.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)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(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)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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))))))
(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (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)))) (tan.f64 x))
#s(literal 1 binary64)
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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)))))
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (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)))))
(tan.f64 x)
x
#s(approx (- x (sin x)) (.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))))
#s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (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))))
(.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)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (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)))
(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))
(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))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 x x)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 x (sin.f64 x))
(*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(log.f64 (-.f64 x (sin.f64 x)))
(log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(neg.f64 (log.f64 (-.f64 x (sin.f64 x))))
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) (cos.f64 x))
(cos.f64 x)

localize1.5s (10.4%)

Memory

14.5MiB live, 326.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.7684102855452999	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	11.308690684425411	(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
accuracy	18.314896145054597	(-.f64 x (sin.f64 x))
accuracy	42.61883997343217	(log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
accuracy	0.11365925215622305	#s(approx (- x (sin x)) (.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))))
accuracy	0.1171875	(.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)))
accuracy	0.5614559175963935	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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))))))
accuracy	10.863746982306594	(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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)))))
accuracy	0.1328125	(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.313645839968775	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.50390625	(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
accuracy	0.08203125	(.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	0.2088188716534966	#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	0.296875	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.7982030256763559	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.0078125	(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	0.0078125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.0859375	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	0.313645839968775	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))

Samples

872.0ms	103×	2	valid
511.0ms	147×	1	valid
3.0ms	6×	0	valid

Compiler

Compiled 904 to 116 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 760.0ms (65.4% of total)

ival-mult: 231.0ms (19.9% of total)

const: 67.0ms (5.8% of total)

adjust: 30.0ms (2.6% of total)

ival-div: 20.0ms (1.7% of total)

ival-add: 18.0ms (1.5% of total)

ival-log: 12.0ms (1% of total)

ival-pow: 10.0ms (0.9% of total)

ival-exp: 7.0ms (0.6% of total)

ival-sub: 3.0ms (0.3% of total)

ival-tan: 2.0ms (0.2% of total)

ival-cos: 2.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

26 → 110

Calls

Call 1

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

Outputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 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))))
(+ (log 6) (* -3 (log x)))
(+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))
(* -1 (+ (log 6) (* -3 (log x))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ (sin x) (cos x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(log (/ 1 x))
(+ (log (/ 1 x)) (/ (sin x) x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(* -1 (* x (- (/ (sin x) x) 1)))
(+ (log -1) (log (/ -1 x)))
(+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))
(* -1 (+ (log -1) (log (/ -1 x))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) x)))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (tan x) (- x (sin x)) (exp (* (log (pow (- x (sin x)) -1)) -1)) (/ (exp (* (log (pow (- x (sin x)) -1)) -1)) (/ (sin x) (cos x))) (log (pow (- x (sin x)) -1)) (* (log (pow (- x (sin x)) -1)) -1) (+ (* -11/15120 (* x x)) -23/360) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x) (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (pow x 3)) (- x (sin x)))

4.0ms

-inf

((/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (tan x) (- x (sin x)) (exp (* (log (pow (- x (sin x)) -1)) -1)) (/ (exp (* (log (pow (- x (sin x)) -1)) -1)) (/ (sin x) (cos x))) (log (pow (- x (sin x)) -1)) (* (log (pow (- x (sin x)) -1)) -1) (+ (* -11/15120 (* x x)) -23/360) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x) (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (pow x 3)) (- x (sin x)))

3.0ms

((/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (tan x) (- x (sin x)) (exp (* (log (pow (- x (sin x)) -1)) -1)) (/ (exp (* (log (pow (- x (sin x)) -1)) -1)) (/ (sin x) (cos x))) (log (pow (- x (sin x)) -1)) (* (log (pow (- x (sin x)) -1)) -1) (+ (* -11/15120 (* x x)) -23/360) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x) (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (pow x 3)) (- x (sin x)))

simplify207.0ms (1.5%)

Memory

-24.0MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	1609
1	1137	1524
2	3607	1486
0	8258	1415

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 109

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 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))))
(+ (log 6) (* -3 (log x)))
(+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))
(* -1 (+ (log 6) (* -3 (log x))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ (sin x) (cos x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(log (/ 1 x))
(+ (log (/ 1 x)) (/ (sin x) x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(* -1 (* x (- (/ (sin x) x) 1)))
(+ (log -1) (log (/ -1 x)))
(+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))
(* -1 (+ (log -1) (log (/ -1 x))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) x)))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))

Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.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)
(* 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 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 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))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
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)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
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(-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) x) #s(literal 1/6 binary64))) x)) (neg.f64 x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))

rewrite227.0ms (1.6%)

Memory

-1.0MiB live, 286.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	418
0	96	407
1	348	388
2	2209	384
0	8523	372

Stop Event

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

Counts

26 → 814

Calls

Call 1

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

Outputs
(.f64 (/.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 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (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 -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (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 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (pow.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #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)) 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) #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)) x)
(.f64 #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)) x))
(.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)))
(pow.f64 (/.f64 (pow.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) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.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) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (sin.f64 x))))))
(/.f64 (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(fma.f64 x #s(literal 1 binary64) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (neg.f64 (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))))
(-.f64 x (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 x (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))

eval122.0ms (0.9%)

Memory: -5.0MiB live, 149.4MiB allocated
Compiler: Compiled 26 265 to 3 339 computations (87.3% saved)

prune40.0ms (0.3%)

Memory

14.5MiB live, 54.1MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	763	7	770
Fresh	4	5	9
Picked	3	2	5
Done	0	5	5
Total	770	19	789

Accuracy

100.0%

Counts

789 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 x (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
	2.6%	(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))) (tan.f64 x))
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	53.0%	(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
▶	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
	82.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (.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)) (.f64 x x)) x))))
▶	98.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
	97.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#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 756 to 446 computations (41% saved)

simplify210.0ms (1.5%)

Memory

4.2MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) (cos.f64 x))
cost-diff	0	(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x)))
cost-diff	7488	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
cost-diff	0	(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
cost-diff	0	(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
cost-diff	0	#s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
cost-diff	6464	(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	376
0	77	361
1	136	361
2	253	359
3	509	359
4	791	358
5	1391	358
6	2352	358
7	4727	358
0	8194	349

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x)
(.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x)
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 23/10 binary64)
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
#s(literal 1 binary64)
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(-.f64 x (sin.f64 x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x)
(.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x)
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 23/10 binary64)
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
#s(literal 1 binary64)
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(-.f64 x (sin.f64 x))

localize367.0ms (2.6%)

Memory

5.0MiB live, 439.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.5614559175963935	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
accuracy	10.863746982306594	(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x)))
accuracy	18.314896145054597	(-.f64 x (sin.f64 x))
accuracy	0.01171875	(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
accuracy	0.15234375	(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
accuracy	0.49026755625868684	#s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x))
accuracy	0.5614559175963935	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.313645839968775	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.50390625	(.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x)
accuracy	0.6704355669494753	#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64))
accuracy	0	(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.0859375	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	0.313645839968775	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	0.8025570989132926	#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.08203125	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.18359375	(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.313645839968775	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))

Samples

166.0ms	149×	2	valid
118.0ms	70×	1	valid
36.0ms	31×	3	valid
2.0ms	6×	0	valid

Compiler

Compiled 664 to 97 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-sin: 58.0ms (27.8% of total)

ival-div: 37.0ms (17.7% of total)

ival-mult: 33.0ms (15.8% of total)

adjust: 30.0ms (14.4% of total)

const: 19.0ms (9.1% of total)

ival-sub: 14.0ms (6.7% of total)

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

ival-pow: 3.0ms (1.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

-20.7MiB live, 17.5MiB allocated

Counts

25 → 72

Calls

Call 1

Inputs
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64))
(.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x)
(-.f64 x (sin.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))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(pow x 3)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 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 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -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))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
23/10
(+ 23/10 (* 6 (/ 1 (pow x 2))))
(* 23/10 x)
(* x (+ 23/10 (* 6 (/ 1 (pow x 2)))))
(/ (sin x) (cos x))
(sin x)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

((+ (* (* (pow x 3) (+ (* (* x x) -11/15120) -23/360)) x) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (pow x 3) (+ (* (* x x) -11/15120) -23/360)) (pow x 3) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (/ (/ (+ (* 23/10 (* x x)) 6) x) x) (/ (+ (* 23/10 (* x x)) 6) x) (/ 1 (/ (/ (sin x) (cos x)) (- x (sin x)))) (/ (/ (sin x) (cos x)) (- x (sin x))) (/ (sin x) (cos x)) (sin x) (* 1/6 x) (* (* 1/6 x) x) (+ (* -11/15120 (* x x)) -23/360) (* (+ (* -11/15120 (* x x)) -23/360) x) (- x (sin x)))

4.0ms

inf

((+ (* (* (pow x 3) (+ (* (* x x) -11/15120) -23/360)) x) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (pow x 3) (+ (* (* x x) -11/15120) -23/360)) (pow x 3) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (/ (/ (+ (* 23/10 (* x x)) 6) x) x) (/ (+ (* 23/10 (* x x)) 6) x) (/ 1 (/ (/ (sin x) (cos x)) (- x (sin x)))) (/ (/ (sin x) (cos x)) (- x (sin x))) (/ (sin x) (cos x)) (sin x) (* 1/6 x) (* (* 1/6 x) x) (+ (* -11/15120 (* x x)) -23/360) (* (+ (* -11/15120 (* x x)) -23/360) x) (- x (sin x)))

2.0ms

((+ (* (* (pow x 3) (+ (* (* x x) -11/15120) -23/360)) x) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (pow x 3) (+ (* (* x x) -11/15120) -23/360)) (pow x 3) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (/ (/ (+ (* 23/10 (* x x)) 6) x) x) (/ (+ (* 23/10 (* x x)) 6) x) (/ 1 (/ (/ (sin x) (cos x)) (- x (sin x)))) (/ (/ (sin x) (cos x)) (- x (sin x))) (/ (sin x) (cos x)) (sin x) (* 1/6 x) (* (* 1/6 x) x) (+ (* -11/15120 (* x x)) -23/360) (* (+ (* -11/15120 (* x x)) -23/360) x) (- x (sin x)))

simplify133.0ms (0.9%)

Memory

41.5MiB live, 113.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	842
1	701	820
2	2063	798
3	4952	776
0	8220	728

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(pow x 3)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 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 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -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))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
23/10
(+ 23/10 (* 6 (/ 1 (pow x 2))))
(* 23/10 x)
(* x (+ 23/10 (* 6 (/ 1 (pow x 2)))))
(/ (sin x) (cos x))
(sin x)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) 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 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(/ 6 (pow x 2))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 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)
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(* 1/6 (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)))
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -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))))))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64)) (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x))) (-.f64 #s(literal 15120/11 binary64) (/.f64 #s(literal -14528445120/1331 binary64) (pow.f64 x #s(literal 4 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)))
(/ (sin x) (* x (cos x)))
(/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (cos.f64 x)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))))) x)
23/10
#s(literal 23/10 binary64)
(+ 23/10 (* 6 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 23/10 binary64))
(* 23/10 x)
(*.f64 #s(literal 23/10 binary64) x)
(* x (+ 23/10 (* 6 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 23/10 binary64) x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin x)
(sin.f64 x)
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (cos.f64 x)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) x)) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)

rewrite201.0ms (1.4%)

Memory

-4.0MiB live, 241.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	337
0	77	311
1	290	311
2	1768	311
0	8612	302

Stop Event

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

Counts

25 → 978

Calls

Call 1

Inputs
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64))
(.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x)
(-.f64 x (sin.f64 x))

Outputs
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (-.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64) (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x))) x)
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64) (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x))))
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(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(sin.f64 x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64))
(.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x)
(.f64 x #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (sin.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (.f64 x x) (+.f64 (sin.f64 x) x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (.f64 x x) (.f64 (neg.f64 (sin.f64 x)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.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 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (sin.f64 x) x)) (.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 x) x) (+.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (sin.f64 x))))))
(/.f64 (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (neg.f64 (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (.f64 x x))))
(-.f64 x (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))

eval120.0ms (0.9%)

Memory: -14.3MiB live, 173.2MiB allocated
Compiler: Compiled 28 934 to 3 815 computations (86.8% saved)

prune29.0ms (0.2%)

Memory

29.8MiB live, 68.9MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	1 040	6	1 046
Fresh	2	5	7
Picked	2	3	5
Done	0	7	7
Total	1 044	21	1 065

Accuracy

100.0%

Counts

1 065 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 x (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
	2.6%	(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))) (tan.f64 x))
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	53.0%	(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
	82.0%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (.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)) (.f64 x x)) x))))
	97.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 #s(literal 6 binary64) x) x)))
	98.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) #s(approx (/ (/ (+ (* 23/10 (* x x)) 6) x) x) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 23/10 binary64)))))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 x x)) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	98.5%	#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))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 1 371 to 522 computations (61.9% saved)

regimes20.0ms (0.1%)

Memory

-23.3MiB live, 23.4MiB 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 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) 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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 #s(literal 6 binary64) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) #s(approx (/ (/ (+ (* 23/10 (* x x)) 6) x) x) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 23/10 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 x x)) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (.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)) (.f64 x x)) x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 #s(approx (- x (sin x)) (.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)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.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))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.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)) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (tan.f64 x))
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 x (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (tan.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))) (tan.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))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

12.4MiB live, 12.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-26.4MiB live, 12.2MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory

9.7MiB live, 9.7MiB 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 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) 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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

-31.9MiB live, 6.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
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)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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)

simplify23.0ms (0.2%)

Memory

-1.7MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	250
1	91	250

Stop Event

1×

saturated

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

soundness1.7s (12.2%)

Memory

-162.7MiB live, 723.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1461
1	1047	1370
2	3318	1330
0	8293	1260
0	57	418
0	96	407
1	348	388
2	2209	384
0	8523	372
0	35	245
0	61	231
1	209	228
2	1297	226
0	8271	226
0	48	337
0	77	311
1	290	311
2	1768	311
0	8612	302
0	105	261
1	301	245
2	829	245
3	2499	233
4	5485	231
0	8483	207
0	388	1609
1	1137	1524
2	3607	1486
0	8258	1415

Stop Event

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

Compiler

Compiled 614 to 305 computations (50.3% saved)

preprocess308.0ms (2.2%)

Memory: -0.9MiB live, 73.9MiB allocated
Remove: (abs x)
Compiler: Compiled 692 to 258 computations (62.7% 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%)

sample3.8s (27.4%)

explain293.0ms (2.1%)

preprocess47.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.2%)

localize81.0ms (0.6%)

series4.0ms (0%)

simplify208.0ms (1.5%)

rewrite169.0ms (1.2%)

eval352.0ms (2.5%)

prune15.0ms (0.1%)

simplify158.0ms (1.1%)

localize553.0ms (3.9%)

series1.7s (11.9%)

simplify299.0ms (2.1%)

rewrite375.0ms (2.7%)

eval394.0ms (2.8%)

prune68.0ms (0.5%)

simplify216.0ms (1.5%)

localize1.5s (10.4%)

series14.0ms (0.1%)

simplify207.0ms (1.5%)

rewrite227.0ms (1.6%)

eval122.0ms (0.9%)

prune40.0ms (0.3%)

simplify210.0ms (1.5%)

localize367.0ms (2.6%)

series15.0ms (0.1%)

simplify133.0ms (0.9%)

rewrite201.0ms (1.4%)

eval120.0ms (0.9%)

prune29.0ms (0.2%)

regimes20.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify23.0ms (0.2%)

soundness1.7s (12.2%)

preprocess308.0ms (2.2%)

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