Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample908.0ms (26.8%)

Memory

-8.6MiB live, 728.6MiB allocated

Samples

548.0ms	7 162×	1	valid
90.0ms	580×	2	valid
24.0ms	514×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-sin: 221.0ms (46.6% of total)

adjust: 97.0ms (20.4% of total)

ival-sub: 91.0ms (19.2% of total)

ival-<: 41.0ms (8.6% of total)

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

exact: 11.0ms (2.3% of total)

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

Bogosity

explain84.0ms (2.5%)

Memory

6.9MiB live, 64.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
92	-	-	`(-.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	92	0

Confusion

	Predicted +	Predicted -
+	92	0
-	0	164

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	0	0	164

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	164
1	92

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	468×	1	valid
3.0ms	24×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-sin: 12.0ms (41.4% of total)

adjust: 10.0ms (34.5% of total)

ival-sub: 5.0ms (17.2% of total)

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

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

preprocess18.0ms (0.5%)

Memory

-24.9MiB live, 13.4MiB 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
▶	66.5%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB 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 (0.7%)

Memory

19.1MiB live, 19.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sin.f64 x)
accuracy	21.435661944703	(-.f64 (sin.f64 x) x)

Samples

16.0ms	234×	1	valid
2.0ms	12×	2	valid
0.0ms	10×	0	valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 6.0ms (51.1% of total)

adjust: 3.0ms (25.5% of total)

ival-sub: 3.0ms (25.5% of total)

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

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

simplify115.0ms (3.4%)

Memory

10.7MiB live, 86.1MiB 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)

rewrite156.0ms (4.6%)

Memory

10.2MiB live, 127.5MiB 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)))

eval18.0ms (0.5%)

Memory: -16.6MiB live, 22.0MiB allocated
Compiler: Compiled 5 371 to 565 computations (89.5% saved)

prune3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	3	170

Accuracy

99.8%

Counts

170 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(-.f64 (sin.f64 x) x)
▶	98.5%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.7%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify15.0ms (0.4%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
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	10	31
0	13	31
1	22	31
2	35	31
3	47	31
4	56	31
5	73	31
6	119	31
7	167	31
8	216	31
9	257	31
10	455	31
11	552	31
12	578	31
0	578	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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)

localize56.0ms (1.6%)

Memory

-3.0MiB live, 40.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.140625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	0.8523535189078045	#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	59.733686823531514	#s(approx (- (sin x) x) (neg.f64 x))

Samples

31.0ms	234×	1	valid
16.0ms	12×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 55 to 20 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 13.0ms (34.9% of total)

ival-sin: 9.0ms (24.2% of total)

adjust: 5.0ms (13.4% of total)

const: 4.0ms (10.7% of total)

ival-sub: 3.0ms (8.1% of total)

ival-pow: 3.0ms (8.1% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-35.1MiB live, 3.4MiB allocated

Counts

5 → 8

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))

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)
(* x (- (/ (sin x) x) 1))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))

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))
1.0ms	x	@	-inf	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3))
1.0ms	x	@	0	((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3))

Time

Variable

Point

Expression

3.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify112.0ms (3.3%)

Memory

4.3MiB live, 79.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	77
1	91	77
2	261	77
3	826	73
4	1875	69
5	3554	69
6	7284	69
0	8189	63

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

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)
(* x (- (/ (sin x) x) 1))
(* -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)))
(* -1 x)
(neg.f64 x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)

rewrite57.0ms (1.7%)

Memory

37.3MiB live, 37.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	13	27
1	40	27
2	203	27
0	1879	27

Stop Event

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

Counts

5 → 49

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))

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

eval20.0ms (0.6%)

Memory: -28.3MiB live, 14.0MiB allocated
Compiler: Compiled 729 to 180 computations (75.3% saved)

prune7.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	49	10	59

Accuracy

100.0%

Counts

59 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(-.f64 (sin.f64 x) x)
▶	98.4%	#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)))
✓	98.5%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	98.4%	#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))))
	98.3%	#s(approx (- (sin 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)))))
	98.4%	#s(approx (- (sin x) x) (.f64 (.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)))) #s(literal -1/6 binary64)))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.7%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 217 to 150 computations (30.9% saved)

simplify25.0ms (0.7%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	#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))))
cost-diff	6784	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
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	6464	(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
cost-diff	-5824	(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff	-5824	(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	150
0	35	146
1	51	122
2	60	122
3	66	122
4	75	122
5	90	122
6	123	122
7	169	122
8	229	122
9	270	122
10	469	122
11	594	122
12	687	122
13	702	122
14	726	122
15	744	122
16	748	122
0	748	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (*.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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 x x)
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) (*.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)
#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 (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize98.0ms (2.9%)

Memory

5.5MiB live, 82.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.08984375	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.2421875	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
accuracy	0.8523535189078045	#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))))
accuracy	0.0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.140625	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
accuracy	0.1875	(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
accuracy	0.8523535189078045	#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	0.0	(*.f64 x x)
accuracy	0.11328125	(.f64 (.f64 x x) x)
accuracy	0.140625	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	0.8523535189078045	#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 (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.1875	(.f64 (.f64 x x) #s(literal -1/6 binary64))
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
accuracy	0.33203125	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))

Samples

75.0ms	234×	1	valid
5.0ms	12×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 260 to 43 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 18.0ms (31.2% of total)

ival-pow: 13.0ms (22.5% of total)

ival-sin: 8.0ms (13.9% of total)

adjust: 6.0ms (10.4% of total)

ival-pow2: 5.0ms (8.7% of total)

const: 4.0ms (6.9% of total)

ival-sub: 3.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory

-28.5MiB live, 10.1MiB allocated

Counts

17 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

simplify147.0ms (4.3%)

Memory

16.0MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	126
1	117	118
2	343	117
3	1024	113
4	2526	109
5	5352	109
0	8178	103

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite111.0ms (3.3%)

Memory

4.9MiB live, 81.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	128
0	35	100
1	78	100
2	266	100
3	1956	100
0	8220	100

Stop Event

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

Counts

17 → 246

Calls

Call 1

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

Outputs
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
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(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.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 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))

eval53.0ms (1.6%)

Memory: 1.3MiB live, 45.1MiB allocated
Compiler: Compiled 3 983 to 838 computations (79% saved)

prune16.0ms (0.5%)

Memory

-15.7MiB live, 22.8MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	248	7	255
Fresh	2	0	2
Picked	2	3	5
Done	0	3	3
Total	252	13	265

Accuracy

100.0%

Counts

265 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(-.f64 (sin.f64 x) x)
▶	98.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
	98.3%	#s(approx (- (sin x) x) (.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
▶	98.3%	#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	98.5%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal -1/6 binary64)))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.7%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 249 to 188 computations (24.5% saved)

simplify79.0ms (2.3%)

Memory

0.5MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
cost-diff	320	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
cost-diff	960	(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
cost-diff	-5824	(.f64 (.f64 (*.f64 #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	0	(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(pow.f64 x #s(literal 9/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	176
0	46	174
1	68	174
2	119	163
3	185	159
4	250	159
5	275	159
6	311	159
7	395	159
8	491	159
9	579	159
10	1403	159
11	2202	159
12	2381	159
13	2386	159
14	2392	159
15	2396	159
16	2396	159
17	2396	159
18	2396	159
19	2400	159
0	2400	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
x
#s(literal 9/4 binary64)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
#s(literal -1/6 binary64)
#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 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
#s(literal 4 binary64)
#s(literal -1/6 binary64)

Outputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
x
#s(literal 9/4 binary64)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
#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 (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 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #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 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
#s(literal 4 binary64)
#s(literal -1/6 binary64)

localize141.0ms (4.2%)

Memory

-5.6MiB live, 111.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3/4 binary64))
accuracy	0.140625	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64))
accuracy	0.3175164551372823	(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
accuracy	0.08984375	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.15234375	(*.f64 (sqrt.f64 x) x)
accuracy	0.2421875	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
accuracy	0.140625	(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))
accuracy	0.15234375	(*.f64 (sqrt.f64 x) x)
accuracy	0.1875	(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.1015625	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
accuracy	0.11328125	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
accuracy	0.33203125	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
accuracy	0.0	(pow.f64 x #s(literal 3/4 binary64))
accuracy	0.14453125	(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
accuracy	0.359375	(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))
accuracy	0.8523535189078045	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))

Samples

109.0ms	234×	1	valid
7.0ms	12×	2	valid
3.0ms	10×	0	valid

Compiler

Compiled 308 to 57 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-pow: 29.0ms (31.8% of total)

ival-mult: 27.0ms (29.6% of total)

adjust: 10.0ms (11% of total)

ival-sin: 7.0ms (7.7% of total)

ival-pow2: 7.0ms (7.7% of total)

ival-sqrt: 4.0ms (4.4% of total)

const: 4.0ms (4.4% of total)

ival-sub: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series99.0ms (2.9%)

Memory

34.0MiB live, 110.7MiB allocated

Counts

20 → 26

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))
#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 #s(literal -1/6 binary64) x) x) x)
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (sqrt.f64 x) x)
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(sqrt.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal 3/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

42.0ms

((- (sin x) x) (* (pow x 9/4) (* (pow x 3/4) -1/6)) (pow x 9/4) (* (pow x 3/4) -1/6) (- (sin x) x) (* (* -1/6 x) x) (* -1/6 x) (* (* (* -1/6 x) x) x) (pow (* (sqrt x) x) 2) (- (sin x) x) (* (pow (* (sqrt x) x) 2) -1/6) (* (sqrt x) x) (* (* (sqrt x) x) (* (pow x 3/2) -1/6)) (- (sin x) x) (sqrt x) (- (sin x) x) (* (pow (pow x 3/4) 4) -1/6) (pow (pow x 3/4) 4) (pow x 3/4) (* (pow x 3/2) -1/6))

34.0ms

-inf

((- (sin x) x) (* (pow x 9/4) (* (pow x 3/4) -1/6)) (pow x 9/4) (* (pow x 3/4) -1/6) (- (sin x) x) (* (* -1/6 x) x) (* -1/6 x) (* (* (* -1/6 x) x) x) (pow (* (sqrt x) x) 2) (- (sin x) x) (* (pow (* (sqrt x) x) 2) -1/6) (* (sqrt x) x) (* (* (sqrt x) x) (* (pow x 3/2) -1/6)) (- (sin x) x) (sqrt x) (- (sin x) x) (* (pow (pow x 3/4) 4) -1/6) (pow (pow x 3/4) 4) (pow x 3/4) (* (pow x 3/2) -1/6))

22.0ms

inf

((- (sin x) x) (* (pow x 9/4) (* (pow x 3/4) -1/6)) (pow x 9/4) (* (pow x 3/4) -1/6) (- (sin x) x) (* (* -1/6 x) x) (* -1/6 x) (* (* (* -1/6 x) x) x) (pow (* (sqrt x) x) 2) (- (sin x) x) (* (pow (* (sqrt x) x) 2) -1/6) (* (sqrt x) x) (* (* (sqrt x) x) (* (pow x 3/2) -1/6)) (- (sin x) x) (sqrt x) (- (sin x) x) (* (pow (pow x 3/4) 4) -1/6) (pow (pow x 3/4) 4) (pow x 3/4) (* (pow x 3/2) -1/6))

simplify125.0ms (3.7%)

Memory

-1.8MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	195
1	185	185
2	534	176
3	1590	172
4	3679	165
5	7427	165
0	8032	159

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite160.0ms (4.7%)

Memory

-3.9MiB live, 115.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	46	157
1	116	110
2	398	110
3	2670	110
0	8790	110

Stop Event

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

Counts

20 → 652

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))
#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 #s(literal -1/6 binary64) x) x) x)
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (sqrt.f64 x) x)
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(sqrt.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal 3/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))

Outputs
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/6 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 21/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 15/8 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 21/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 9/16 binary64)) (.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 9/8 binary64)) (.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64)))))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) x) x)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))))
(.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 x (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 27/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 9/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 9/8 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 9/8 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 9/8 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 9/8 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 45/16 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 39/16 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 9/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 9/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 9/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 9/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 11/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 9/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 27/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (pow.f64 x #s(literal 27/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 27/16 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x (pow.f64 x #s(literal 5/4 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/4 binary64))) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 9/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 9/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/16 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 6 binary64))
(pow.f64 (neg.f64 x) #s(literal 9/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 9/8 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 9/2 binary64))
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(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/16 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) x)
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(.f64 (pow.f64 x #s(literal 9/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(.f64 (sqrt.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 #s(literal -1/6 binary64) x) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 x (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))

eval60.0ms (1.8%)

Memory: -1.5MiB live, 74.2MiB allocated
Compiler: Compiled 9 805 to 2 050 computations (79.1% saved)

prune18.0ms (0.5%)

Memory

-3.1MiB live, 35.8MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	559	6	565
Fresh	2	0	2
Picked	3	2	5
Done	0	6	6
Total	564	14	578

Accuracy

100.0%

Counts

578 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(-.f64 (sin.f64 x) x)
✓	98.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
✓	98.5%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	98.5%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 21/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64))))
	98.4%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64))))
	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64)) (sqrt.f64 x)))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) x)))
	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (sqrt.f64 x))))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
	98.3%	#s(approx (- (sin x) x) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))
✓	6.7%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 472 to 209 computations (55.7% saved)

regimes13.0ms (0.4%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (sqrt.f64 x))))
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 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 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/6 binary64)) (sqrt.f64 x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 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 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 21/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.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)))) #s(literal -1/6 binary64)))
#s(approx (- (sin 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)))))

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

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (sin.f64 x) x)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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
6.7%	1	`(-.f64 (sin.f64 x) x)`
6.7%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify325.0ms (9.6%)

Memory

-141.7MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29
2	24	29
3	30	29
4	41	29
5	58	29
6	116	29
7	375	29
8	3370	29

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

soundness266.0ms (7.8%)

Memory

-31.3MiB live, 88.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	13	27
1	40	27
2	203	27
0	1879	27
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×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 51 to 34 computations (33.3% saved)

preprocess33.0ms (1%)

Memory: 35.2MiB live, 35.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 140 to 94 computations (32.9% 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	10	31
0	13	31
1	22	31
2	35	31
3	47	31
4	56	31
5	73	31
6	119	31
7	167	31
8	216	31
9	257	31
10	455	31
11	552	31
12	578	31
0	578	31

Iter	Nodes	Cost
0	23	150
0	35	146
1	51	122
2	60	122
3	66	122
4	75	122
5	90	122
6	123	122
7	169	122
8	229	122
9	270	122
10	469	122
11	594	122
12	687	122
13	702	122
14	726	122
15	744	122
16	748	122
0	748	122

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	10	31
0	13	31
1	22	31
2	35	31
3	47	31
4	56	31
5	73	31
6	119	31
7	167	31
8	216	31
9	257	31
10	455	31
11	552	31
12	578	31
0	578	31

Iter	Nodes	Cost
0	23	150
0	35	146
1	51	122
2	60	122
3	66	122
4	75	122
5	90	122
6	123	122
7	169	122
8	229	122
9	270	122
10	469	122
11	594	122
12	687	122
13	702	122
14	726	122
15	744	122
16	748	122
0	748	122

start0.0ms (0%)

analyze0.0ms (0%)

sample908.0ms (26.8%)

explain84.0ms (2.5%)

preprocess18.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize23.0ms (0.7%)

series1.0ms (0%)

simplify115.0ms (3.4%)

rewrite156.0ms (4.6%)

eval18.0ms (0.5%)

prune3.0ms (0.1%)

simplify15.0ms (0.4%)

localize56.0ms (1.6%)

series5.0ms (0.1%)

simplify112.0ms (3.3%)

rewrite57.0ms (1.7%)

eval20.0ms (0.6%)

prune7.0ms (0.2%)

simplify25.0ms (0.7%)

localize98.0ms (2.9%)

series11.0ms (0.3%)

simplify147.0ms (4.3%)

rewrite111.0ms (3.3%)

eval53.0ms (1.6%)

prune16.0ms (0.5%)

simplify79.0ms (2.3%)

localize141.0ms (4.2%)

series99.0ms (2.9%)

simplify125.0ms (3.7%)

rewrite160.0ms (4.7%)

eval60.0ms (1.8%)

prune18.0ms (0.5%)

regimes13.0ms (0.4%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

simplify325.0ms (9.6%)

soundness266.0ms (7.8%)

preprocess33.0ms (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

Iter	Nodes	Cost
0	10	31
0	13	31
1	22	31
2	35	31
3	47	31
4	56	31
5	73	31
6	119	31
7	167	31
8	216	31
9	257	31
10	455	31
11	552	31
12	578	31
0	578	31

Iter	Nodes	Cost
0	23	150
0	35	146
1	51	122
2	60	122
3	66	122
4	75	122
5	90	122
6	123	122
7	169	122
8	229	122
9	270	122
10	469	122
11	594	122
12	687	122
13	702	122
14	726	122
15	744	122
16	748	122
0	748	122