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)

sample937.0ms (27.4%)

Memory

32.6MiB live, 723.2MiB allocated

Samples

571.0ms	7 162×	1	valid
97.0ms	580×	2	valid
23.0ms	514×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

ival-sin: 222.0ms (45.4% of total)

adjust: 103.0ms (21.1% of total)

ival-sub: 87.0ms (17.8% of total)

ival-<: 51.0ms (10.4% of total)

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

exact: 11.0ms (2.3% of total)

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

Bogosity

explain84.0ms (2.5%)

Memory

-12.7MiB live, 72.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
92	160	(-5.683435525367693e-188)	-	`(-.f64 (sin.f64 x) x)`
0	0	-	-	`(sin.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	252	0

Confusion

	Predicted +	Predicted -
+	92	0
-	160	4

Precision

0.36507936507936506

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	160	0	4

Precision?

0.36507936507936506

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

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 36 to 19 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 13.0ms (47.7% of total)

ival-sub: 8.0ms (29.3% of total)

adjust: 5.0ms (18.3% of total)

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

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

preprocess16.0ms (0.5%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.8%)

Memory

-18.5MiB live, 19.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	21.435661944703	(-.f64 (sin.f64 x) x)

Samples

20.0ms	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 (50.6% of total)

adjust: 3.0ms (25.3% of total)

ival-sub: 3.0ms (25.3% 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))

simplify117.0ms (3.4%)

Memory

13.4MiB live, 88.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

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

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

rewrite144.0ms (4.2%)

Memory

-8.3MiB live, 109.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 174

Calls

Call 1

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

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

eval17.0ms (0.5%)

Memory: 22.8MiB live, 22.8MiB allocated
Compiler: Compiled 6 064 to 591 computations (90.3% saved)

prune3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	3	185

Accuracy

99.8%

Counts

185 → 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

-31.7MiB live, 7.2MiB 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	165	31
8	209	31
9	249	31
10	436	31
11	533	31
12	549	31
0	549	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)

localize43.0ms (1.2%)

Memory

32.9MiB live, 32.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	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	(neg.f64 x)
accuracy	59.733686823531514	#s(approx (- (sin x) x) (neg.f64 x))

Samples

32.0ms	234×	1	valid
3.0ms	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: 24.0ms

ival-sin: 7.0ms (29% of total)

adjust: 5.0ms (20.7% of total)

const: 4.0ms (16.6% of total)

ival-sub: 3.0ms (12.4% of total)

ival-pow: 3.0ms (12.4% of total)

ival-mult: 2.0ms (8.3% of total)

ival-neg: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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
1.0ms	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

1.0ms

-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))

simplify125.0ms (3.7%)

Memory

-21.8MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	77
1	91	77
2	261	77
3	827	73
4	1867	69
5	3562	69
6	7263	69
0	8169	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)

rewrite58.0ms (1.7%)

Memory

-2.4MiB live, 36.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	13	27
1	40	27
2	200	27
0	1842	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 #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 (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 (*.f64 x x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.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)))

eval5.0ms (0.2%)

Memory: 6.8MiB live, 6.8MiB allocated
Compiler: Compiled 729 to 180 computations (75.3% saved)

prune7.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB 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)

simplify28.0ms (0.8%)

Memory

-28.5MiB live, 10.4MiB 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	166	122
8	227	122
9	267	122
10	448	122
11	573	122
12	663	122
13	678	122
14	702	122
15	720	122
16	724	122
0	724	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)

localize112.0ms (3.3%)

Memory

7.9MiB live, 88.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	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	(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	(*.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	(*.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	(*.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

89.0ms	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: 56.0ms

ival-mult: 19.0ms (33.9% of total)

ival-pow: 12.0ms (21.4% of total)

ival-sin: 7.0ms (12.5% of total)

adjust: 6.0ms (10.7% of total)

ival-pow2: 5.0ms (8.9% of total)

const: 4.0ms (7.1% of total)

ival-sub: 3.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB 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

-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))

2.0ms

((- (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))

simplify160.0ms (4.7%)

Memory

-0.7MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	126
1	117	118
2	345	117
3	1022	113
4	2448	109
5	5219	109
0	8254	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))

rewrite123.0ms (3.6%)

Memory

16.3MiB live, 92.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	128
0	35	100
1	78	100
2	263	100
3	1917	100
0	8623	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)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 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 #s(literal -1/6 binary64) x) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(.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 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))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (neg.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 (neg.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (neg.f64 x) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 (neg.f64 x) x))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/2 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 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (neg.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 (neg.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (neg.f64 x) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 (neg.f64 x) x))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/2 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 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 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 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))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/4 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))
(*.f64 x (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 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)))

eval24.0ms (0.7%)

Memory: -7.1MiB live, 31.5MiB allocated
Compiler: Compiled 3 983 to 838 computations (79% saved)

prune289.0ms (8.4%)

Memory

-149.1MiB live, 29.1MiB 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)

simplify80.0ms (2.3%)

Memory

-3.9MiB live, 39.3MiB 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	392	159
8	484	159
9	571	159
10	1359	159
11	2057	159
12	2232	159
13	2237	159
14	2243	159
15	2247	159
16	2247	159
17	2247	159
18	2247	159
19	2251	159
0	2251	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)

localize143.0ms (4.2%)

Memory

-6.0MiB live, 110.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	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	(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

105.0ms	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: 84.0ms

ival-pow: 27.0ms (32.2% of total)

ival-mult: 23.0ms (27.4% of total)

adjust: 10.0ms (11.9% of total)

ival-sin: 8.0ms (9.5% of total)

ival-pow2: 5.0ms (6% of total)

ival-sqrt: 4.0ms (4.8% of total)

const: 4.0ms (4.8% of total)

ival-sub: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

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

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

series98.0ms (2.9%)

Memory

32.8MiB live, 109.6MiB 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

41.0ms

((- (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))

simplify132.0ms (3.9%)

Memory

6.9MiB live, 83.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	195
1	185	185
2	536	176
3	1593	172
4	3592	165
5	7277	165
0	8263	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))

rewrite128.0ms (3.7%)

Memory

-18.2MiB live, 95.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	46	157
1	116	110
2	395	110
3	2630	110
0	8922	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) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 15/8 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 (pow.f64 x #s(literal 15/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/8 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 (.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 5/2 binary64)) (.f64 (sqrt.f64 x) #s(literal -1/6 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 21/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/6 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))))
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(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/8 binary64))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 16 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/8 binary64) (log.f64 x)) #s(literal 8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 21/16 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/16 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/16 binary64))) (sqrt.f64 (pow.f64 x #s(literal 21/16 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/16 binary64))) (sqrt.f64 (pow.f64 x #s(literal 15/16 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/8 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 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 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 9/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/32 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/32 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 21/16 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(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) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) x)
(.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)))

eval84.0ms (2.5%)

Memory: 2.6MiB live, 84.9MiB allocated
Compiler: Compiled 9 805 to 2 050 computations (79.1% saved)

prune18.0ms (0.5%)

Memory

-4.1MiB live, 35.3MiB 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)

regimes12.0ms (0.4%)

Memory

12.6MiB live, 12.6MiB 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

7.2MiB live, 7.2MiB 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

3.7MiB live, 3.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.7%	1	`(-.f64 (sin.f64 x) x)`
6.7%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify22.0ms (0.6%)

Memory

1.1MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	21	29
2	23	29
3	24	29

Stop Event

1×

saturated

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

soundness285.0ms (8.3%)

Memory

-19.4MiB live, 130.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	122
1	121	116
2	313	116
3	939	112
4	2033	108
5	3881	108
0	8019	96
0	10	27
0	13	27
1	40	27
2	200	27
0	1842	27

Stop Event

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

Compiler

Compiled 51 to 34 computations (33.3% saved)

preprocess59.0ms (1.7%)

Memory: 9.6MiB live, 62.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 180 to 126 computations (30% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	10	31
0	13	31
1	22	31
2	35	31
3	47	31
4	56	31
5	73	31
6	119	31
7	165	31
8	209	31
9	249	31
10	436	31
11	533	31
12	549	31
0	549	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	166	122
8	227	122
9	267	122
10	448	122
11	573	122
12	663	122
13	678	122
14	702	122
15	720	122
16	724	122
0	724	122

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

Iter	Nodes	Cost
0	10	31
0	13	31
1	22	31
2	35	31
3	47	31
4	56	31
5	73	31
6	119	31
7	165	31
8	209	31
9	249	31
10	436	31
11	533	31
12	549	31
0	549	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	166	122
8	227	122
9	267	122
10	448	122
11	573	122
12	663	122
13	678	122
14	702	122
15	720	122
16	724	122
0	724	122

start0.0ms (0%)

analyze0.0ms (0%)

sample937.0ms (27.4%)

explain84.0ms (2.5%)

preprocess16.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize27.0ms (0.8%)

series1.0ms (0%)

simplify117.0ms (3.4%)

rewrite144.0ms (4.2%)

eval17.0ms (0.5%)

prune3.0ms (0.1%)

simplify15.0ms (0.4%)

localize43.0ms (1.2%)

series3.0ms (0.1%)

simplify125.0ms (3.7%)

rewrite58.0ms (1.7%)

eval5.0ms (0.2%)

prune7.0ms (0.2%)

simplify28.0ms (0.8%)

localize112.0ms (3.3%)

series9.0ms (0.3%)

simplify160.0ms (4.7%)

rewrite123.0ms (3.6%)

eval24.0ms (0.7%)

prune289.0ms (8.4%)

simplify80.0ms (2.3%)

localize143.0ms (4.2%)

series98.0ms (2.9%)

simplify132.0ms (3.9%)

rewrite128.0ms (3.7%)

eval84.0ms (2.5%)

prune18.0ms (0.5%)

regimes12.0ms (0.4%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

simplify22.0ms (0.6%)

soundness285.0ms (8.3%)

preprocess59.0ms (1.7%)

end0.0ms (0%)

Profiling

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

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	165	31
8	209	31
9	249	31
10	436	31
11	533	31
12	549	31
0	549	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	166	122
8	227	122
9	267	122
10	448	122
11	573	122
12	663	122
13	678	122
14	702	122
15	720	122
16	724	122
0	724	122