Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

sample1.3s (38.6%)

Memory

1.0MiB live, 1 448.9MiB allocated; 338ms collecting garbage

Samples

795.0ms	7 123×	1	valid
164.0ms	811×	2	valid
18.0ms	322×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-sin: 357.0ms (50.7% of total)

adjust: 169.0ms (24% of total)

ival-sub: 97.0ms (13.8% of total)

ival-<: 48.0ms (6.8% of total)

ival-and: 13.0ms (1.8% of total)

exact: 11.0ms (1.6% of total)

ival-assert: 7.0ms (1% of total)

Bogosity

explain73.0ms (2.2%)

Memory

-13.1MiB live, 79.6MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
86	2	(-6.5773675807992176e-108)	-	`(-.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	88	0

Confusion

	Predicted +	Predicted -
+	86	0
-	2	168

Precision

0.9772727272727273

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	0
-	2	0	168

Precision?

0.9772727272727273

Recall?

1.0

Freqs

test

number	freq
0	168
1	88

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	460×	1	valid
5.0ms	36×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sin: 12.0ms (41.1% of total)

adjust: 11.0ms (37.7% of total)

ival-sub: 5.0ms (17.1% of total)

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

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

preprocess35.0ms (1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	7	13
2	14	13
3	22	13
4	34	13
5	56	13
6	78	13
7	131	13
8	209	13
9	359	13
10	964	13
11	4232	13

Stop Event

1×	node limit

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

localize38.0ms (1.1%)

Memory

-20.8MiB live, 37.0MiB allocated; 18ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sin.f64 x)
accuracy	19.125195700640667	(-.f64 (sin.f64 x) x)

Samples

29.0ms	230×	1	valid
3.0ms	18×	2	valid
0.0ms	8×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sub: 11.0ms (49.6% of total)

ival-sin: 6.0ms (27.1% of total)

adjust: 4.0ms (18% of total)

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

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

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))

simplify4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	127

Stop Event

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

rewrite171.0ms (5.1%)

Memory

15.4MiB live, 244.4MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	18	6
2	128	6
3	1310	6
0	9927	6

Stop Event

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

Counts

2 → 282

Calls

Call 1

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

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

eval26.0ms (0.8%)

Memory: -6.7MiB live, 37.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 140 to 732 computations (92.8% saved)

prune11.0ms (0.3%)

Memory

-28.1MiB live, 17.8MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	288	5	293
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	288	6	294

Accuracy

99.8%

Counts

294 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
▶	98.9%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
▶	70.1%	#s(approx (- (sin x) x) (*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
▶	98.0%	#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	6.6%	#s(approx (- (sin x) x) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 142 to 107 computations (24.6% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

localize214.0ms (6.4%)

Memory

29.1MiB live, 274.1MiB allocated; 27ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
accuracy	0.1171875	(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.125	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
accuracy	0.7013369607810505	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
accuracy	0.0	#s(approx (- (sin x) x) (*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
accuracy	0.015625	(/.f64 (sin.f64 x) x)
accuracy	0.08984375	(*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))
accuracy	28.880815113680253	(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.12890625	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	1.193793460352654	#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.0	(*.f64 #s(literal -1 binary64) x)
accuracy	59.763863903118946	#s(approx (- (sin x) x) (*.f64 #s(literal -1 binary64) x))
accuracy	0.08984375	(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.1171875	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))))
accuracy	0.13671875	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
accuracy	0.6024972416567769	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))

Samples

148.0ms	175×	2	valid
41.0ms	78×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 159 to 28 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-sin: 53.0ms (34.1% of total)

adjust: 30.0ms (19.3% of total)

ival-mult: 26.0ms (16.7% of total)

const: 19.0ms (12.2% of total)

ival-sub: 11.0ms (7.1% of total)

ival-div: 5.0ms (3.2% of total)

ival-pow: 5.0ms (3.2% of total)

ival-pow2: 3.0ms (1.9% of total)

ival-add: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series18.0ms (0.6%)

Memory

-26.4MiB live, 18.2MiB allocated; 11ms collecting garbage

Counts

17 → 35

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 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))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 2))
(* -1 x)
(pow x 3)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* x (- (/ (sin x) x) 1))
(* -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))
-1
(- (/ (sin x) x) 1)
(/ (sin x) x)
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- (sin x) x) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) (* -1/5040 (pow x 2)) (- (sin x) x) (* -1 x) (- (sin x) x) (* -1/6 (pow x 3)) (pow x 3) (- (/ (sin x) x) 1) (* x (- (/ (sin x) x) 1)) (/ (sin x) x) (- (sin x) x) (- (sin x) x) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (* 1/120 (pow x 2)) (- (* 1/120 (pow x 2)) 1/6))
4.0ms	x	@	inf	((- (sin x) x) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) (* -1/5040 (pow x 2)) (- (sin x) x) (* -1 x) (- (sin x) x) (* -1/6 (pow x 3)) (pow x 3) (- (/ (sin x) x) 1) (* x (- (/ (sin x) x) 1)) (/ (sin x) x) (- (sin x) x) (- (sin x) x) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (* 1/120 (pow x 2)) (- (* 1/120 (pow x 2)) 1/6))
2.0ms	x	@	0	((- (sin x) x) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) (* -1/5040 (pow x 2)) (- (sin x) x) (* -1 x) (- (sin x) x) (* -1/6 (pow x 3)) (pow x 3) (- (/ (sin x) x) 1) (* x (- (/ (sin x) x) 1)) (/ (sin x) x) (- (sin x) x) (- (sin x) x) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (* 1/120 (pow x 2)) (- (* 1/120 (pow x 2)) 1/6))

Time

Variable

Point

Expression

11.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	355

Stop Event

1×	iter limit

Counts

35 → 35

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

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

rewrite173.0ms (5.2%)

Memory

6.3MiB live, 295.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	154
0	48	152
1	149	152
2	866	152
0	8792	149

Stop Event

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

Counts

17 → 381

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))

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

eval51.0ms (1.5%)

Memory: -15.6MiB live, 83.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 13 719 to 2 009 computations (85.4% saved)

prune18.0ms (0.5%)

Memory

-4.5MiB live, 42.9MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	512	17	529
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	516	19	535

Accuracy

100.0%

Counts

535 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
	98.7%	#s(approx (- (sin x) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
	52.2%	#s(approx (- (sin x) x) (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64))))
▶	98.6%	#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x))
	52.3%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
	51.6%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
▶	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
	67.5%	#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
	98.7%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
	98.0%	#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
✓	98.0%	#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
	51.7%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))
	97.9%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
▶	6.6%	#s(approx (- (sin x) x) (neg.f64 x))
	14.7%	#s(approx (- (sin x) x) #s(approx (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))))

Compiler

Compiled 614 to 423 computations (31.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

localize164.0ms (4.9%)

Memory

50.8MiB live, 188.1MiB allocated; 31ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.1171875	(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.125	(.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
accuracy	0.7013369607810505	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
accuracy	0.1171875	(.f64 #s(literal 1/120 binary64) (.f64 x x))
accuracy	0.125	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
accuracy	0.32421875	(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.7013369607810505	#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
accuracy	0.3203125	(*.f64 x #s(literal -1/6 binary64))
accuracy	1.193793460352654	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
accuracy	0.0	(neg.f64 x)
accuracy	59.56196393755981	#s(approx (- (sin x) x) (neg.f64 x))
accuracy	0.01171875	(-.f64 (.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 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
accuracy	0.13671875	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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	0.6024972416567769	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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

123.0ms	230×	1	valid
11.0ms	18×	2	valid
4.0ms	1×	5	exit
2.0ms	7×	0	valid

Compiler

Compiled 179 to 30 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 31.0ms (27.4% of total)

adjust: 27.0ms (23.9% of total)

const: 24.0ms (21.2% of total)

ival-sin: 10.0ms (8.8% of total)

ival-sub: 9.0ms (8% of total)

ival-pow: 5.0ms (4.4% of total)

ival-pow2: 3.0ms (2.7% of total)

ival-add: 2.0ms (1.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory

-32.9MiB live, 10.5MiB allocated; 14ms collecting garbage

Counts

18 → 30

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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 (.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 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(-.f64 (.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) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x #s(literal -1/6 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x 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))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1 x)
(* -1/6 x)
(pow x 2)
(* x (- (* 1/120 (pow x 2)) 1/6))
(pow x 3)
(* x (- (/ (sin x) x) 1))
(* -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)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 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 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -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 (* (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
8.0ms	x	@	0	((- (sin x) x) (* (pow x 3) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6)) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (- (sin x) x) (neg x) (- (sin x) x) (* x -1/6) (* (* x x) (* x -1/6)) (* x x) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (* 1/120 (* x x)) (- (sin x) x) (* (* (* x x) x) (- (* 1/120 (pow x 2)) 1/6)) (* 1/120 (pow x 2)) (* (* x x) x))
3.0ms	x	@	-inf	((- (sin x) x) (* (pow x 3) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6)) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (- (sin x) x) (neg x) (- (sin x) x) (* x -1/6) (* (* x x) (* x -1/6)) (* x x) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (* 1/120 (* x x)) (- (sin x) x) (* (* (* x x) x) (- (* 1/120 (pow x 2)) 1/6)) (* 1/120 (pow x 2)) (* (* x x) x))
2.0ms	x	@	inf	((- (sin x) x) (* (pow x 3) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6)) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (- (sin x) x) (neg x) (- (sin x) x) (* x -1/6) (* (* x x) (* x -1/6)) (* x x) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (* 1/120 (* x x)) (- (sin x) x) (* (* (* x x) x) (- (* 1/120 (pow x 2)) 1/6)) (* 1/120 (pow x 2)) (* (* x x) x))

Time

Variable

Point

Expression

8.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

simplify3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	310

Stop Event

1×	iter limit

Counts

30 → 30

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

rewrite156.0ms (4.7%)

Memory

24.0MiB live, 164.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	179
0	51	165
1	158	165
2	786	165
0	8335	165

Stop Event

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

Counts

18 → 477

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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 (.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 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(-.f64 (.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) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x #s(literal -1/6 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) x)

Outputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (.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)) (pow.f64 x #s(literal 3 binary64))) (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))) (-.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 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x)))
(.f64 (/.f64 (.f64 (-.f64 (.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)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.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))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.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)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (.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))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.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)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) (.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)))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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))) (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))) (-.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 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x)))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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 (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))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (.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))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)) (.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)))))))
(.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x)) x)
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
(.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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (-.f64 (.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 (pow.f64 x #s(literal 3 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 (.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)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (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)) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x #s(literal 1/36 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
(.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
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(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
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(neg.f64 x)
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(.f64 x (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
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(*.f64 x x)
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(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
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(neg.f64 (*.f64 (neg.f64 x) x))
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(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
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(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (.f64 x (.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 x) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 x)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x))
(fma.f64 (neg.f64 x) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 x)))
(+.f64 (.f64 x (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 x (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 x) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 x) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))

eval93.0ms (2.8%)

Memory: 5.4MiB live, 203.1MiB allocated; 32ms collecting garbage
Compiler: Compiled 15 594 to 2 124 computations (86.4% saved)

prune20.0ms (0.6%)

Memory

-17.4MiB live, 71.8MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	521	4	525
Fresh	4	8	12
Picked	0	5	5
Done	0	2	2
Total	525	19	544

Accuracy

100.0%

Counts

544 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
	98.7%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (.f64 x x)) (fma.f64 #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 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64))))
	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x)))
✓	98.6%	#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
	52.3%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x)))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x))
▶	51.6%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
	51.7%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
✓	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
▶	67.5%	#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	98.7%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
▶	98.0%	#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
✓	98.0%	#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
	97.9%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
✓	6.6%	#s(approx (- (sin x) x) (neg.f64 x))
	14.7%	#s(approx (- (sin x) x) #s(approx (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))))

Compiler

Compiled 556 to 374 computations (32.7% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

localize162.0ms (4.9%)

Memory

-1.3MiB live, 329.7MiB allocated; 36ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x))
accuracy	0.09375	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
accuracy	0.16015625	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.8616037586911178	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.078125	(.f64 #s(literal 1/120 binary64) (.f64 x x))
accuracy	0.09375	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
accuracy	0.1640625	(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.4473761032647998	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.109375	(.f64 (.f64 x x) #s(literal -1/6 binary64))
accuracy	0.8616037586911178	#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.0	#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.04296875	(*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.9414509582390912	#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy	16.042666452359786	(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.046875	(.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
accuracy	0.078125	(.f64 #s(literal 1/120 binary64) (.f64 x x))
accuracy	0.1015625	(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
accuracy	0.4473761032647998	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))

Samples

85.0ms	94×	2	valid
31.0ms	120×	0	invalid
16.0ms	39×	1	valid
4.0ms	1×	5	exit
1.0ms	2×	0	valid

Compiler

Compiled 183 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 37.0ms (34.3% of total)

ival-sin: 37.0ms (34.3% of total)

const: 11.0ms (10.2% of total)

adjust: 10.0ms (9.3% of total)

ival-sub: 7.0ms (6.5% of total)

ival-div: 3.0ms (2.8% of total)

ival-sqrt: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

19 → 32

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x))
(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) (sqrt.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))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(pow x 2)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (sqrt (pow x 5)))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* 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
(- (/ (sin x) x) 1)
(/ (sin x) x)
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/6 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((- (sin x) x) (* (* x x) (- (* 1/120 (* x x)) 1/6)) (* 1/120 (* x x)) (* x (* (* x x) (- (* 1/120 (* x x)) 1/6))) (- (/ (sin x) x) 1) (/ (sin x) x) (* x (- (/ (sin x) x) 1)) (- (sin x) x) (- (sin x) x) (* (* x x) -1/6) (* x (* (* x x) -1/6)) (* x x) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (* (* (- (* 1/120 (* x x)) 1/6) x) x) (- (sin x) x) (* -1/6 x) (* (* -1/6 x) x) (* (* (* -1/6 x) x) (sqrt x)))

3.0ms

inf

((- (sin x) x) (* (* x x) (- (* 1/120 (* x x)) 1/6)) (* 1/120 (* x x)) (* x (* (* x x) (- (* 1/120 (* x x)) 1/6))) (- (/ (sin x) x) 1) (/ (sin x) x) (* x (- (/ (sin x) x) 1)) (- (sin x) x) (- (sin x) x) (* (* x x) -1/6) (* x (* (* x x) -1/6)) (* x x) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (* (* (- (* 1/120 (* x x)) 1/6) x) x) (- (sin x) x) (* -1/6 x) (* (* -1/6 x) x) (* (* (* -1/6 x) x) (sqrt x)))

2.0ms

((- (sin x) x) (* (* x x) (- (* 1/120 (* x x)) 1/6)) (* 1/120 (* x x)) (* x (* (* x x) (- (* 1/120 (* x x)) 1/6))) (- (/ (sin x) x) 1) (/ (sin x) x) (* x (- (/ (sin x) x) 1)) (- (sin x) x) (- (sin x) x) (* (* x x) -1/6) (* x (* (* x x) -1/6)) (* x x) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (* (* (- (* 1/120 (* x x)) 1/6) x) x) (- (sin x) x) (* -1/6 x) (* (* -1/6 x) x) (* (* (* -1/6 x) x) (sqrt x)))

simplify3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	307

Stop Event

1×	iter limit

Counts

32 → 32

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

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

rewrite163.0ms (4.9%)

Memory

14.8MiB live, 193.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	183
0	48	179
1	127	167
2	556	164
3	4765	164
0	8350	164

Stop Event

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

Counts

19 → 318

Calls

Call 1

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

Outputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/2985984000000 binary64) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/207360000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (neg.f64 x))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 x (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x) (neg.f64 x)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x))
(neg.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (*.f64 #s(literal 1/120 binary64) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 #s(literal 1/120 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64))) (neg.f64 x))
(.f64 #s(literal -1/120 binary64) (.f64 x x))
(.f64 (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/120 binary64) x)) x)
(.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64)) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1/120 binary64) x)))
(.f64 (.f64 #s(literal 1/120 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 1/120 binary64) x) x)
(.f64 (neg.f64 x) (neg.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/120 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal 1/120 binary64) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 1/120 binary64) x)))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/120 binary64) x)))
(.f64 x (.f64 (neg.f64 x) #s(literal 1/120 binary64)))
(.f64 x (.f64 #s(literal 1/120 binary64) x))
(pow.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(neg.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/2985984000000 binary64) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/207360000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (-.f64 (.f64 #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 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(.f64 (neg.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) (neg.f64 x))
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x)
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
(.f64 x (.f64 (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
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(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 x (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x) (neg.f64 x)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x))
(neg.f64 (.f64 (.f64 (-.f64 (.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)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (sqrt.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal -1/6 binary64)) (neg.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal -1/6 binary64)) x))
(neg.f64 (.f64 x (.f64 (neg.f64 x) #s(literal -1/6 binary64))))
(neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) (neg.f64 x))
(.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(.f64 (.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -1/6 binary64) x))
(.f64 (neg.f64 x) (.f64 (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) (sqrt.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64))))
(.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 x x) (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))
(.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64)))

eval95.0ms (2.9%)

Memory: -16.0MiB live, 142.6MiB allocated; 101ms collecting garbage
Compiler: Compiled 10 497 to 1 802 computations (82.8% saved)

prune20.0ms (0.6%)

Memory

-1.5MiB live, 44.8MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (8 fresh and 12 done)

	Pruned	Kept	Total
New	439	2	441
Fresh	1	6	7
Picked	0	5	5
Done	0	7	7
Total	440	20	460

Accuracy

100.0%

Counts

460 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(-.f64 (sin.f64 x) x)
	97.9%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) x) (fma.f64 #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 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64))))
	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x)))
✓	98.6%	#s(approx (- (sin x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
	52.3%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x)))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x))
✓	51.6%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
	51.7%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
✓	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	67.5%	#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
	52.3%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) x)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
✓	98.7%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
✓	98.0%	#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
✓	98.0%	#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
	97.9%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
✓	6.6%	#s(approx (- (sin x) x) (neg.f64 x))
	14.7%	#s(approx (- (sin x) x) #s(approx (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))))

Compiler

Compiled 857 to 384 computations (55.2% saved)

regimes17.0ms (0.5%)

Memory

-26.0MiB live, 19.5MiB allocated; 5ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.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 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) x)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) x) (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 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 #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)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) #s(approx (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))))

Outputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.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:

10.0ms	x
5.0ms	(-.f64 (sin.f64 x) x)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (sin x) x) (*.f64 x (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.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 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) x)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (sin.f64 x) x)`
98.7%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

regimes3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (sin.f64 x) x)`
97.9%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.5%	1	`(-.f64 (sin.f64 x) x)`
67.5%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.2%)

Memory

-46.1MiB live, 4.9MiB allocated; 9ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(-.f64 (sin.f64 x) x)
1.0ms	x

Results

Accuracy	Segments	Branch
6.6%	1	`(-.f64 (sin.f64 x) x)`
6.6%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

derivations225.0ms (6.7%)

Memory

25.4MiB live, 213.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	154
0	48	152
1	149	152
2	866	152
0	8792	149
0	47	127
0	76	355

Stop Event

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

Compiler

Compiled 85 to 34 computations (60% saved)

preprocess37.0ms (1.1%)

Memory: 14.5MiB live, 107.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 232 to 118 computations (49.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (38.6%)

explain73.0ms (2.2%)

preprocess35.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize38.0ms (1.1%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite171.0ms (5.1%)

eval26.0ms (0.8%)

prune11.0ms (0.3%)

simplify0.0ms (0%)

localize214.0ms (6.4%)

series18.0ms (0.6%)

simplify4.0ms (0.1%)

rewrite173.0ms (5.2%)

eval51.0ms (1.5%)

prune18.0ms (0.5%)

simplify0.0ms (0%)

localize164.0ms (4.9%)

series14.0ms (0.4%)

simplify3.0ms (0.1%)

rewrite156.0ms (4.7%)

eval93.0ms (2.8%)

prune20.0ms (0.6%)

simplify0.0ms (0%)

localize162.0ms (4.9%)

series10.0ms (0.3%)

simplify3.0ms (0.1%)

rewrite163.0ms (4.9%)

eval95.0ms (2.9%)

prune20.0ms (0.6%)

regimes17.0ms (0.5%)

regimes10.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.2%)

derivations225.0ms (6.7%)

preprocess37.0ms (1.1%)

end0.0ms (0%)

Profiling