Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.2s (24%)

Memory

-125.8MiB live, 716.8MiB allocated

Samples

561.0ms	7 245×	1	valid
89.0ms	533×	2	valid
22.0ms	478×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 478.0ms

ival-sin: 230.0ms (48.1% of total)

adjust: 98.0ms (20.5% of total)

ival-sub: 85.0ms (17.8% of total)

ival-<: 40.0ms (8.4% of total)

ival-and: 11.0ms (2.3% of total)

exact: 11.0ms (2.3% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain66.0ms (1.3%)

Memory

12.8MiB live, 56.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
82	-	-	`(-.f64 (sin.f64 x) x)`
0	-	-	`(sin.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	82	0

Confusion

	Predicted +	Predicted -
+	82	0
-	0	174

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	0	0	174

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	174
1	82

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	464×	1	valid
4.0ms	22×	2	valid
1.0ms	26×	0	valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 12.0ms (52.2% of total)

adjust: 5.0ms (21.7% of total)

ival-sub: 5.0ms (21.7% of total)

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

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

preprocess18.0ms (0.4%)

Memory

-24.8MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	137	8
5	139	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	103	4
8	151	4
9	169	4
10	181	4
0	181	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	7	7
2	12	7
3	18	7
4	26	7
5	41	7
6	74	7
7	103	7
8	151	7
9	169	7
10	181	7
0	181	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

18.1MiB live, 18.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sin.f64 x)
accuracy	18.46814572950664	(-.f64 (sin.f64 x) x)

Samples

15.0ms	232×	1	valid
2.0ms	11×	2	valid
0.0ms	13×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (53.1% of total)

adjust: 3.0ms (26.6% of total)

ival-sub: 3.0ms (26.6% of total)

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

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

series1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

simplify118.0ms (2.4%)

Memory

3.6MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	122
1	121	116
2	313	116
3	939	112
4	2049	108
5	3888	108
0	8038	96

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

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

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

rewrite142.0ms (2.9%)

Memory

7.0MiB live, 118.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	20	6
2	151	6
3	1536	6
0	8565	6

Stop Event

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

Counts

2 → 159

Calls

Call 1

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

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

eval41.0ms (0.8%)

Memory: -15.7MiB live, 33.2MiB allocated
Compiler: Compiled 5 371 to 565 computations (89.5% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	5	170

Accuracy

99.8%

Counts

170 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 (sin.f64 x) x)
▶	99.3%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.7%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 61 to 42 computations (31.1% saved)

simplify97.0ms (2%)

Memory

-21.5MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	162
0	36	162
1	62	162
2	129	162
3	329	162
4	866	162
5	2001	162
6	3228	162
7	3397	162
8	3465	162
9	3778	162
10	6165	162
0	8185	162

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (2.4%)

Memory

19.0MiB live, 97.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.09375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.33768494150846395	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.09375	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.4992985400149591	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.09765625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	0.7201938653585944	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	59.917802250603046	#s(approx (- (sin x) x) (neg.f64 x))

Samples

92.0ms	232×	1	valid
6.0ms	11×	2	valid
3.0ms	13×	0	valid

Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 20.0ms (25.8% of total)

const: 20.0ms (25.8% of total)

adjust: 13.0ms (16.8% of total)

ival-add: 8.0ms (10.3% of total)

ival-sin: 7.0ms (9% of total)

ival-sub: 5.0ms (6.5% of total)

ival-pow: 3.0ms (3.9% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

14 → 39

Calls

Call 1

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

Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(pow x 3)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
-1/5040
(- (* 1/362880 (pow x 2)) 1/5040)
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 2))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 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 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (+ (* 1/362880 (* x x)) -1/5040))
3.0ms	x	@	inf	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (+ (* 1/362880 (* x x)) -1/5040))
2.0ms	x	@	0	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (+ (* 1/362880 (* x x)) -1/5040))

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify99.0ms (2%)

Memory

-13.8MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	396
1	212	396
2	663	396
3	2061	392
4	5491	388
0	8097	368

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(pow x 3)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
-1/5040
(- (* 1/362880 (pow x 2)) 1/5040)
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 2))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 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 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
-1/5040
#s(literal -1/5040 binary64)
(- (* 1/362880 (pow x 2)) 1/5040)
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/362880 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* 1/362880 (pow x 2))
(.f64 #s(literal 1/362880 binary64) (.f64 x x))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))

rewrite168.0ms (3.4%)

Memory

13.6MiB live, 127.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	139
0	36	139
1	133	139
2	888	139
0	8676	139

Stop Event

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

Counts

14 → 443

Calls

Call 1

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

Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 x x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (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 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
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(.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/1828915200 binary64))))))
(.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)) (pow.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64))) (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (fma.f64 (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64))) (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/5040 binary64) (.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/25401600 binary64)))) (neg.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/362880 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/645241282560000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2283380023591730815784976384000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/16390160963076096000000 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/362880 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/645241282560000 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3344930808791040000 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2283380023591730815784976384000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/16390160963076096000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/128024064000 binary64)) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/109110688415571316480344899355894085582848000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/2098335016107155751174144000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2283380023591730815784976384000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/16390160963076096000000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6117594799146226679808000000 binary64)))) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/25401600 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/25401600 binary64))) (.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))))
(/.f64 (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/5040 binary64) (.f64 #s(literal 1/362880 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/25401600 binary64))) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64))) (neg.f64 (+.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/1828915200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64))) (neg.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/5040 binary64) (.f64 #s(literal 1/362880 binary64) (.f64 x x))) (-.f64 #s(literal 1/25401600 binary64) (*.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/1828915200 binary64)))) (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))))
(/.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/25401600 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))
(/.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)) (+.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/1828915200 binary64)))))
(/.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/25401600 binary64))) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64))) (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/25401600 binary64)) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/47784725839872000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64)) (neg.f64 (fma.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25401600 binary64) (.f64 #s(literal -1/1828915200 binary64) (.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 1/362880 binary64) x) x #s(literal -1/5040 binary64))
(fma.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(fma.f64 x (*.f64 #s(literal 1/362880 binary64) x) #s(literal -1/5040 binary64))
(-.f64 (/.f64 #s(literal 1/25401600 binary64) (-.f64 #s(literal -1/5040 binary64) (.f64 #s(literal 1/362880 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/5040 binary64) (.f64 #s(literal 1/362880 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/131681894400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64))) (neg.f64 (/.f64 #s(literal -1/25401600 binary64) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))
(+.f64 (.f64 #s(literal 1/362880 binary64) (.f64 x x)) #s(literal -1/5040 binary64))
(+.f64 #s(literal -1/5040 binary64) (.f64 #s(literal 1/362880 binary64) (.f64 x x)))

eval69.0ms (1.4%)

Memory: 9.7MiB live, 85.3MiB allocated
Compiler: Compiled 19 289 to 2 388 computations (87.6% saved)

prune19.0ms (0.4%)

Memory

-12.7MiB live, 34.3MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	569	11	580
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	571	14	585

Accuracy

100.0%

Counts

585 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 (sin.f64 x) x)
	99.1%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	99.0%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
▶	99.3%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	96.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
▶	98.6%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	98.7%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	98.6%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
▶	37.0%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 421 to 288 computations (31.6% saved)

simplify135.0ms (2.7%)

Memory

13.5MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
cost-diff	2	(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	1	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
cost-diff	2	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
cost-diff	2	(.f64 (.f64 x x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	266
0	58	244
1	94	244
2	180	244
3	427	244
4	1140	244
5	3022	244
6	5375	244
7	7177	244
0	8055	239

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (4.9%)

Memory

-11.5MiB live, 230.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.09765625	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
accuracy	0.15234375	(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
accuracy	0.7201938653585944	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.00390625	(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy	0.193691259768442	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.4992985400149591	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy	39.012088551648965	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(.f64 (.f64 x x) x)
accuracy	0.09765625	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	0.7201938653585944	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.1015625	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
accuracy	0.33203125	(*.f64 x #s(literal -1/6 binary64))
accuracy	0.7201938653585944	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.078125	(.f64 (.f64 x x) x)
accuracy	0.09375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
accuracy	0.33768494150846395	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))

Samples

197.0ms	232×	1	valid
9.0ms	11×	2	valid
4.0ms	12×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 194 to 37 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 49.0ms (28.5% of total)

ival-div: 31.0ms (18% of total)

const: 26.0ms (15.1% of total)

ival-pow: 17.0ms (9.9% of total)

adjust: 16.0ms (9.3% of total)

ival-add: 14.0ms (8.1% of total)

ival-sin: 8.0ms (4.7% of total)

ival-sub: 5.0ms (2.9% of total)

ival-pow2: 5.0ms (2.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series11.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

19 → 37

Calls

Call 1

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

Outputs
(pow x 3)
(* -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
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(pow x 2)
(* -1/6 x)
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(sqrt (pow x 3))
(/ 1/6 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify99.0ms (2%)

Memory

-8.1MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	367
1	226	364
2	697	355
3	2116	351
4	5491	347
0	8040	335

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
(pow x 3)
(* -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
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(pow x 2)
(* -1/6 x)
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(sqrt (pow x 3))
(/ 1/6 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(/ -1/6 (pow x 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
1/120
#s(literal 1/120 binary64)
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite159.0ms (3.2%)

Memory

11.3MiB live, 128.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	215
0	58	195
1	197	195
2	1237	195
0	8234	189

Stop Event

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

Counts

19 → 303

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.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))))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x))) (.f64 (.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))))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
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(+.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64))) #s(literal 1/14400 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64))) #s(literal 1/14400 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))

eval101.0ms (2%)

Memory: -10.4MiB live, 71.4MiB allocated
Compiler: Compiled 13 846 to 1 584 computations (88.6% saved)

prune33.0ms (0.7%)

Memory

-1.2MiB live, 37.0MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	399	3	402
Fresh	2	4	6
Picked	1	4	5
Done	0	3	3
Total	402	14	416

Accuracy

100.0%

Counts

416 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 (sin.f64 x) x)
	99.1%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
✓	99.3%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	96.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
✓	98.6%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	98.7%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x #s(literal -1/6 binary64))))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
▶	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
▶	99.2%	#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
▶	37.1%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 398 to 266 computations (33.2% saved)

simplify152.0ms (3.1%)

Memory

-38.5MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x))
cost-diff	0	#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	1	(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x #s(literal -1/6 binary64))))
cost-diff	4	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x #s(literal -1/6 binary64)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
cost-diff	2	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
cost-diff	2	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)))
cost-diff	2	(.f64 (.f64 x x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	349
0	78	338
1	137	324
2	235	324
3	468	321
4	918	321
5	1243	318
6	1554	316
7	2967	316
8	4726	316
9	6433	316
0	8217	313

Stop Event

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

Calls

Call 1

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

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

localize262.0ms (5.3%)

Memory

17.4MiB live, 213.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.3515625	(/.f64 #s(literal 1/6 binary64) x)
accuracy	0.4992985400149591	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))))
accuracy	39.012088551648965	(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.1015625	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x #s(literal -1/6 binary64)))
accuracy	0.33203125	(*.f64 x #s(literal -1/6 binary64))
accuracy	0.7201938653585944	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x #s(literal -1/6 binary64))))
accuracy	1.4096605630464776	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	0.06640625	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)
accuracy	0.09765625	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
accuracy	0.33203125	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.4992985400149591	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
accuracy	0.0625	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
accuracy	0.09375	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
accuracy	0.33203125	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.7201938653585944	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
accuracy	0.078125	(.f64 (.f64 x x) x)
accuracy	0.09375	(.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x))
accuracy	0.33768494150846395	#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)))
accuracy	0.4195949837399683	#s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))

Samples

160.0ms	232×	1	valid
10.0ms	11×	2	valid
4.0ms	12×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 229 to 48 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 52.0ms (36.3% of total)

const: 26.0ms (18.1% of total)

adjust: 19.0ms (13.3% of total)

ival-add: 14.0ms (9.8% of total)

ival-div: 8.0ms (5.6% of total)

ival-sin: 8.0ms (5.6% of total)

ival-pow: 8.0ms (5.6% of total)

ival-sub: 7.0ms (4.9% of total)

exact: 1.0ms (0.7% of total)

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

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

series9.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

23 → 43

Calls

Call 1

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

Outputs
(pow x 3)
(* -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
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* -1/6 (pow x 2))
(* -1/6 x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(pow x 2)
(/ 1 (pow x 2))
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ 1/6 x)
(/ 1/6 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify175.0ms (3.6%)

Memory

-17.2MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	418
1	231	418
2	718	410
3	2277	406
4	5863	402
0	8068	386

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

Inputs
(pow x 3)
(* -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
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* -1/6 (pow x 2))
(* -1/6 x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(pow x 2)
(/ 1 (pow x 2))
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ 1/6 x)
(/ 1/6 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1/6 (pow x 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 4 binary64)))
(* 1/120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
1/120
#s(literal 1/120 binary64)
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)

rewrite206.0ms (4.2%)

Memory

27.9MiB live, 175.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	300
0	78	278
1	282	274
2	1846	274
0	8676	261

Stop Event

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

Counts

23 → 448

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
(/.f64 x (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x)) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) (.f64 x #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 x (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 x x) (/.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 #s(literal 1 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) (pow.f64 x #s(literal -1 binary64))))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/1728000 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64)) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)))
(/.f64 (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)))))) (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))) (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/6 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (/.f64 #s(literal -1/6 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(*.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))

eval87.0ms (1.8%)

Memory: -13.0MiB live, 76.5MiB allocated
Compiler: Compiled 12 565 to 1 852 computations (85.3% saved)

prune40.0ms (0.8%)

Memory

-0.1MiB live, 38.7MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	442	5	447
Fresh	0	2	2
Picked	3	2	5
Done	1	6	7
Total	446	15	461

Accuracy

100.0%

Counts

461 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 (sin.f64 x) x)
	99.1%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	98.1%	#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
✓	99.3%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	96.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
✓	98.7%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	99.0%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 (fma.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))) x))
	98.7%	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x #s(literal -1/6 binary64))))
	98.7%	#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) x))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x)))
✓	98.7%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 706 to 292 computations (58.6% saved)

regimes16.0ms (0.3%)

Memory

-18.7MiB live, 18.1MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#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 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 (fma.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))) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#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 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x #s(literal -1/6 binary64))))

Outputs

#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 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 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)))

Outputs

#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.2%)

Memory

-43.3MiB live, 7.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
1.0ms	(-.f64 (sin.f64 x) x)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`x`
6.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify73.0ms (1.5%)

Memory

-3.9MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	172
1	61	172
2	90	172
3	203	172
4	448	172
5	645	172
6	708	172
7	1090	172
8	4414	172

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness860.0ms (17.5%)

Memory

8.1MiB live, 442.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	300
0	78	278
1	282	274
2	1846	274
0	8676	261
0	22	139
0	36	139
1	133	139
2	888	139
0	8676	139
0	91	367
1	226	364
2	697	355
3	2116	351
4	5491	347
0	8040	335
0	47	122
1	121	116
2	313	116
3	939	112
4	2049	108
5	3888	108
0	8038	96

Stop Event

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

Compiler

Compiled 331 to 156 computations (52.9% saved)

preprocess54.0ms (1.1%)

Memory: 13.6MiB live, 84.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 456 to 174 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	137	8
5	139	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	103	4
8	151	4
9	169	4
10	181	4
0	181	4

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	137	8
5	139	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	103	4
8	151	4
9	169	4
10	181	4
0	181	4

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (24%)

explain66.0ms (1.3%)

preprocess18.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize23.0ms (0.5%)

series1.0ms (0%)

simplify118.0ms (2.4%)

rewrite142.0ms (2.9%)

eval41.0ms (0.8%)

prune4.0ms (0.1%)

simplify97.0ms (2%)

localize118.0ms (2.4%)

series8.0ms (0.2%)

simplify99.0ms (2%)

rewrite168.0ms (3.4%)

eval69.0ms (1.4%)

prune19.0ms (0.4%)

simplify135.0ms (2.7%)

localize243.0ms (4.9%)

series11.0ms (0.2%)

simplify99.0ms (2%)

rewrite159.0ms (3.2%)

eval101.0ms (2%)

prune33.0ms (0.7%)

simplify152.0ms (3.1%)

localize262.0ms (5.3%)

series9.0ms (0.2%)

simplify175.0ms (3.6%)

rewrite206.0ms (4.2%)

eval87.0ms (1.8%)

prune40.0ms (0.8%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

simplify73.0ms (1.5%)

soundness860.0ms (17.5%)

preprocess54.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	137	8
5	139	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	103	4
8	151	4
9	169	4
10	181	4
0	181	4