Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample931.0ms (14.7%)

Memory

36.4MiB live, 729.9MiB allocated

Samples

573.0ms	7 234×	1	valid
92.0ms	550×	2	valid
22.0ms	472×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-sin: 225.0ms (46.1% of total)

adjust: 104.0ms (21.3% of total)

ival-sub: 90.0ms (18.5% of total)

ival-<: 41.0ms (8.4% of total)

ival-and: 12.0ms (2.5% of total)

exact: 11.0ms (2.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain98.0ms (1.6%)

Memory

-15.7MiB live, 80.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
87	167	(5.4142092350887505e-217)	-	`(-.f64 (sin.f64 x) x)`
0	0	-	-	`(sin.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	254	0

Confusion

	Predicted +	Predicted -
+	87	0
-	167	2

Precision

0.3425196850393701

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	0
-	167	0	2

Precision?

0.3425196850393701

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

38.0ms	436×	1	valid
13.0ms	44×	2	valid
1.0ms	32×	0	valid

Compiler

Compiled 36 to 19 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 16.0ms (49.2% of total)

ival-sub: 10.0ms (30.8% of total)

adjust: 6.0ms (18.5% of total)

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

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

preprocess18.0ms (0.3%)

Memory

-24.3MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	7	7
2	12	7
3	18	7
4	26	7
5	41	7
6	74	7
7	100	7
8	143	7
9	160	7
10	172	7
0	172	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	19.149224738360218	(-.f64 (sin.f64 x) x)

Samples

16.0ms	218×	1	valid
4.0ms	22×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 8.0ms (60% of total)

adjust: 3.0ms (22.5% of total)

ival-sub: 3.0ms (22.5% of total)

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

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 12

Calls

Call 1

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

Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
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))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(sin x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- (sin x) x) (sin x))
0.0ms	x	@	inf	((- (sin x) x) (sin x))
0.0ms	x	@	-inf	((- (sin x) x) (sin x))

simplify115.0ms (1.8%)

Memory

8.2MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	122
1	121	116
2	313	116
3	939	112
4	2033	108
5	3881	108
0	8019	96

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
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))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(sin x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)

rewrite151.0ms (2.4%)

Memory

4.3MiB live, 120.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6

Stop Event

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

Counts

2 → 174

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: -14.9MiB live, 23.2MiB allocated
Compiler: Compiled 6 064 to 591 computations (90.3% saved)

prune4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	5	185

Accuracy

99.8%

Counts

185 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
▶	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.0%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.5%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 56 to 40 computations (28.6% saved)

simplify236.0ms (3.7%)

Memory

8.5MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	135
0	32	135
1	54	135
2	110	135
3	253	135
4	528	135
5	738	135
6	906	135
7	1125	135
8	1173	135
9	1333	135
10	3241	135
11	4146	135
12	4260	135
13	4282	135
14	4310	135
15	4310	135
16	4310	135
17	5370	135
18	5862	135
19	5862	135
20	5862	135
21	5862	135
22	5866	135
0	5866	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.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)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.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)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize115.0ms (1.8%)

Memory

-22.2MiB live, 92.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(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))
accuracy	0.1171875	(.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)))
accuracy	0.4356311856855955	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.10546875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.6325341743160334	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	1.1600107750554656	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy	0	(neg.f64 x)
accuracy	59.825418699519425	#s(approx (- (sin x) x) (neg.f64 x))

Samples

84.0ms	218×	1	valid
11.0ms	22×	2	valid
3.0ms	16×	0	valid

Compiler

Compiled 243 to 41 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

adjust: 17.0ms (23.4% of total)

ival-mult: 17.0ms (23.4% of total)

const: 15.0ms (20.6% of total)

ival-sin: 9.0ms (12.4% of total)

ival-add: 6.0ms (8.3% of total)

ival-sub: 3.0ms (4.1% of total)

ival-pow: 3.0ms (4.1% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

13 → 29

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.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)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))

Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(pow x 3)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))
2.0ms	x	@	inf	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))
2.0ms	x	@	0	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

Time

Variable

Point

Expression

3.0ms

-inf

((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

2.0ms

inf

((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

2.0ms

((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

simplify147.0ms (2.3%)

Memory

13.1MiB live, 89.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	250
1	174	250
2	504	250
3	1596	246
4	3894	242
5	6152	242
0	8364	227

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(pow x 3)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)))
(* -1 x)
(neg.f64 x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(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))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite203.0ms (3.2%)

Memory

-18.5MiB live, 139.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	32	113
1	111	113
2	717	113
3	7448	113
0	8398	113

Stop Event

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

Counts

13 → 458

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.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)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))

Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 x x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
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(neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728000 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/604800 binary64) (.f64 x x) #s(literal 1/14400 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal 1/25401600 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 #s(literal -1/5040 binary64) x) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))) (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))

eval72.0ms (1.1%)

Memory: 12.3MiB live, 87.8MiB allocated
Compiler: Compiled 17 503 to 2 270 computations (87% saved)

prune20.0ms (0.3%)

Memory

-8.7MiB live, 36.4MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	579	14	593
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	581	17	598

Accuracy

100.0%

Counts

598 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
▶	99.2%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
▶	98.9%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	98.8%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	97.9%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	98.0%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
▶	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
▶	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.5%	#s(approx (- (sin x) x) (neg.f64 x))
	36.2%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 539 to 368 computations (31.7% saved)

simplify309.0ms (4.9%)

Memory

25.6MiB live, 64.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff	1088	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
cost-diff	-5824	(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
cost-diff	1088	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	297
0	48	297
1	85	277
2	166	277
3	354	277
4	654	277
5	821	277
6	864	277
7	1028	277
8	1301	277
9	1521	277
10	3480	277
11	4396	277
12	4699	277
13	4735	277
14	4756	277
15	4758	277
16	4758	277
17	4758	277
18	5243	277
19	5455	277
20	5455	277
21	5455	277
22	5455	277
23	5459	277
0	5459	277

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
(.f64 (.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)) x) (*.f64 x x))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

Outputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #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)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.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)) x) (*.f64 x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #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 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(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))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 #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)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize169.0ms (2.7%)

Memory

-18.9MiB live, 135.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.0859375	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.6325341743160334	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy	0.00390625	(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))
accuracy	0.09765625	(.f64 (.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)) x) (*.f64 x x))
accuracy	0.26171875	(.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)) x)
accuracy	0.4356311856855955	#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
accuracy	0.078125	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
accuracy	0.08203125	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
accuracy	0.2578125	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.6325341743160334	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
accuracy	0.27734375	(*.f64 #s(literal -1/6 binary64) x)
accuracy	1.1600107750554656	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
accuracy	0.00390625	(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))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.0859375	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.4356311856855955	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))

Samples

115.0ms	218×	1	valid
14.0ms	22×	2	valid
4.0ms	16×	0	valid

Compiler

Compiled 547 to 58 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 31.0ms (30.4% of total)

adjust: 20.0ms (19.6% of total)

const: 15.0ms (14.7% of total)

ival-div: 12.0ms (11.8% of total)

ival-sin: 9.0ms (8.8% of total)

ival-add: 8.0ms (7.8% of total)

ival-sub: 3.0ms (2.9% of total)

ival-pow: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

21 → 58

Calls

Call 1

Inputs
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (.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)) x) (*.f64 x x))

Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 3)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(pow x 2)
(* -1/6 x)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(/ -5040 (pow x 4))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ (pow x 3) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (pow x 3) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* x x) (* -1/6 x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* 1/120 (* x x)) -1/6) x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (* (* (* (+ (* 1/120 (* x x)) -1/6) x) x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)))

3.0ms

-inf

((/ (pow x 3) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (pow x 3) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* x x) (* -1/6 x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* 1/120 (* x x)) -1/6) x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (* (* (* (+ (* 1/120 (* x x)) -1/6) x) x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)))

2.0ms

((/ (pow x 3) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (pow x 3) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* x x) (* -1/6 x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* 1/120 (* x x)) -1/6) x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (* (* (* (+ (* 1/120 (* x x)) -1/6) x) x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)))

simplify163.0ms (2.6%)

Memory

0.7MiB live, 117.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	584
1	367	584
2	1007	581
3	3046	577
4	7195	575
0	8066	544

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 3)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(pow x 2)
(* -1/6 x)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(/ -5040 (pow x 4))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-6
#s(literal -6 binary64)
(- (* -3/10 (pow x 2)) 6)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/28000 binary64) (.f64 x x) #s(literal -11/1400 binary64)) (.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 (pow x 2))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) x)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -3/200 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/4000 binary64) (.f64 x x) #s(literal -3/200 binary64)) (.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(neg.f64 (-.f64 x (sin.f64 x)))
(/ -5040 (pow x 4))
(/.f64 #s(literal -5040 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -5040 binary64) (/.f64 #s(literal 211680 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -211680 binary64) (/.f64 #s(literal 4656960 binary64) (*.f64 x x))) x) x) #s(literal 5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -5040 binary64) (/.f64 #s(literal 211680 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 17781120 binary64) (.f64 x x)) #s(literal 4656960 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/120 (pow x 3))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1/5040 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/120 binary64) x) x (.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x)
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 120 binary64)) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2400 binary64) (.f64 x x)) #s(literal 120 binary64))) (.f64 x x))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))

rewrite484.0ms (7.6%)

Memory

-136.6MiB live, 224.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	239
0	48	239
1	169	219
2	994	219
0	8794	219

Stop Event

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

Counts

21 → 1 203

Calls

Call 1

Inputs
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (.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)) x) (*.f64 x x))

Outputs
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 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 -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x))))
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(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 (.f64 #s(literal -1/6 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)))

eval157.0ms (2.5%)

Memory: 24.1MiB live, 218.6MiB allocated
Compiler: Compiled 39 824 to 4 971 computations (87.5% saved)

prune34.0ms (0.5%)

Memory

-13.5MiB live, 71.7MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 316	7	1 323
Fresh	6	3	9
Picked	3	2	5
Done	0	3	3
Total	1 325	15	1 340

Accuracy

100.0%

Counts

1 340 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
▶	99.1%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
	98.8%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	97.6%	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
✓	98.0%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
▶	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
▶	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
✓	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.5%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 441 to 286 computations (35.1% saved)

simplify98.0ms (1.5%)

Memory

5.0MiB live, 80.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)) (.f64 (*.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
cost-diff	0	#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	350
0	55	354
1	101	324
2	226	308
3	627	308
4	2415	308
5	5108	308
6	7166	308
0	8055	308

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
(.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x)
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

Outputs
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.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)))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.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)) (.f64 (*.f64 x x) x))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize159.0ms (2.5%)

Memory

-5.4MiB live, 149.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.078125	(.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x)
accuracy	0.08203125	(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
accuracy	0.6325341743160334	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
accuracy	0.00390625	(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))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	0.1171875	(.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)) (.f64 (*.f64 x x) x))
accuracy	0.4356311856855955	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
accuracy	0.09765625	(.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
accuracy	0.26171875	(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.4356311856855955	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
accuracy	1.1804616387485785	#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	0.125	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	1.1600107750554656	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.0859375	(/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	0.4356311856855955	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))

Samples

109.0ms	218×	1	valid
13.0ms	22×	2	valid
8.0ms	16×	0	valid

Compiler

Compiled 641 to 65 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 28.0ms (31.6% of total)

ival-div: 17.0ms (19.2% of total)

const: 15.0ms (16.9% of total)

adjust: 9.0ms (10.1% of total)

ival-sin: 9.0ms (10.1% of total)

ival-add: 7.0ms (7.9% of total)

ival-sub: 3.0ms (3.4% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

21 → 50

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(neg.f64 x)
(.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x)

Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 2)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(pow x 3)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* -1 x)
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* x (- (/ (sin x) x) 1))
(/ -5040 (pow x 4))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (* (* x x) x) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (* x x) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (* x x) x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (* (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) x) (neg x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (* (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) x) x))

2.0ms

inf

((/ (* (* x x) x) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (* x x) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (* x x) x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (* (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) x) (neg x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (* (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) x) x))

1.0ms

((/ (* (* x x) x) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (* x x) (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (* x x) x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (* (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) x) (neg x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (* (/ (neg x) (/ -1 (+ (* 1/120 (* x x)) -1/6))) x) x))

simplify138.0ms (2.2%)

Memory

-3.2MiB live, 114.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	484
1	306	484
2	870	481
3	2703	477
4	6579	473
0	8496	448

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 2)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(pow x 3)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* -1 x)
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* x (- (/ (sin x) x) 1))
(/ -5040 (pow x 4))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
-6
#s(literal -6 binary64)
(- (* -3/10 (pow x 2)) 6)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/28000 binary64) (.f64 x x) #s(literal -11/1400 binary64)) (.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(/ -5040 (pow x 4))
(/.f64 #s(literal -5040 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -5040 binary64) (/.f64 #s(literal 211680 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -211680 binary64) (/.f64 #s(literal 4656960 binary64) (*.f64 x x))) x) x) #s(literal 5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -5040 binary64) (/.f64 #s(literal 211680 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 17781120 binary64) (.f64 x x)) #s(literal 4656960 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1/5040 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/120 binary64) x) x (.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* 1/120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))

rewrite184.0ms (2.9%)

Memory

17.9MiB live, 210.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	279
0	55	265
1	191	249
2	1202	241
0	8473	241

Stop Event

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

Counts

21 → 901

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(neg.f64 x)
(.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x)

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.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)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.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)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) x)))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.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)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.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)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.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)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.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)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.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)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.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)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 x (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))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 #s(literal -1/6 binary64) x)))))
(.f64 (/.f64 (.f64 x x) (pow.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)) #s(literal -1/2 binary64))) (/.f64 x (pow.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)) #s(literal -1/2 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x x) (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))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x x) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 #s(literal -1/6 binary64) x)))))
(.f64 (/.f64 x (pow.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)) #s(literal -1/2 binary64))) (/.f64 (.f64 x x) (pow.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)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (.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)) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 #s(literal -1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (.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)) x) x) x)
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(.f64 (neg.f64 x) (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 x (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)))
(.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x))
(/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(neg.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x))))
(neg.f64 (.f64 (.f64 x (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) x))
(neg.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x) x))
(neg.f64 (.f64 x (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))))
(neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x)))
(neg.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))

eval140.0ms (2.2%)

Memory: 10.2MiB live, 216.4MiB allocated
Compiler: Compiled 38 590 to 4 466 computations (88.4% saved)

prune267.0ms (4.2%)

Memory

-11.9MiB live, 63.1MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1 158	4	1 162
Fresh	1	4	5
Picked	1	4	5
Done	1	4	5
Total	1 161	16	1 177

Accuracy

100.0%

Counts

1 177 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
	99.2%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64)))))
	98.0%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
	97.6%	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))))
	98.9%	#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
✓	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x))
✓	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
✓	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
✓	98.0%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.5%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 876 to 353 computations (59.7% saved)

regimes15.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))

Outputs

#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x))

Outputs

#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (fma.f64 (fma.f64 #s(literal -11/1400 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))

Calls

2 calls:

7.0ms	x
6.0ms	(-.f64 (sin.f64 x) x)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes46.0ms (0.7%)

Memory

-25.6MiB live, 13.1MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))))

Outputs
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))

Calls

2 calls:

41.0ms	(-.f64 (sin.f64 x) x)
4.0ms	x

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))

Outputs
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (sin.f64 x) x)`
98.0%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes78.0ms (1.2%)

Memory

-44.8MiB live, 9.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	x
1.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (neg.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`x`
6.5%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify86.0ms (1.4%)

Memory

-4.1MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	166
1	70	166
2	72	166
3	73	166

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.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)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) #s(approx (/ 1 (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))
#s(approx (- (sin x) x) (neg.f64 x))

soundness1.5s (23.4%)

Memory

28.5MiB live, 541.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	32	113
1	111	113
2	717	113
3	7448	113
0	8398	113
0	162	584
1	367	584
2	1007	581
3	3046	577
4	7195	575
0	8066	544
0	129	484
1	306	484
2	870	481
3	2703	477
4	6579	473
0	8496	448
0	29	239
0	48	239
1	169	219
2	994	219
0	8794	219
0	47	122
1	121	116
2	313	116
3	939	112
4	2033	108
5	3881	108
0	8019	96

Stop Event

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

Compiler

Compiled 441 to 249 computations (43.5% saved)

preprocess99.0ms (1.6%)

Memory: -9.2MiB live, 72.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 482 to 224 computations (53.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

start0.0ms (0%)

analyze0.0ms (0%)

sample931.0ms (14.7%)

explain98.0ms (1.6%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize25.0ms (0.4%)

series1.0ms (0%)

simplify115.0ms (1.8%)

rewrite151.0ms (2.4%)

eval19.0ms (0.3%)

prune4.0ms (0.1%)

simplify236.0ms (3.7%)

localize115.0ms (1.8%)

series7.0ms (0.1%)

simplify147.0ms (2.3%)

rewrite203.0ms (3.2%)

eval72.0ms (1.1%)

prune20.0ms (0.3%)

simplify309.0ms (4.9%)

localize169.0ms (2.7%)

series9.0ms (0.1%)

simplify163.0ms (2.6%)

rewrite484.0ms (7.6%)

eval157.0ms (2.5%)

prune34.0ms (0.5%)

simplify98.0ms (1.5%)

localize159.0ms (2.5%)

series7.0ms (0.1%)

simplify138.0ms (2.2%)

rewrite184.0ms (2.9%)

eval140.0ms (2.2%)

prune267.0ms (4.2%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes46.0ms (0.7%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes78.0ms (1.2%)

regimes3.0ms (0%)

simplify86.0ms (1.4%)

soundness1.5s (23.4%)

preprocess99.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4