Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.1s (21.5%)

Memory

31.7MiB live, 1 202.5MiB allocated

Samples

825.0ms	8 250×	0	valid
0.0ms	3×	2	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-div: 219.0ms (65.8% of total)

ival-mult: 55.0ms (16.5% of total)

ival-add: 36.0ms (10.8% of total)

exact: 14.0ms (4.2% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain91.0ms (1.7%)

Memory

-24.6MiB live, 215.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 108 binary64)`
-	-	`(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))`
-	-	`#s(literal 841 binary64)`
-	-	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))`
-	-	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
-	-	`#s(literal 29 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 10.0ms (59.6% of total)

ival-mult: 3.0ms (17.9% of total)

ival-add: 2.0ms (11.9% of total)

exact: 1.0ms (6% of total)

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

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

preprocess14.0ms (0.3%)

Memory

38.0MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	21	10
2	37	10
3	53	10
0	9	5
0	15	5
1	17	5
2	24	5
3	31	5
4	40	5
5	40	5
0	40	4

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify31.0ms (0.6%)

Memory

-39.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
cost-diff	1	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
cost-diff	2	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
cost-diff	2	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
0	15	15
1	17	15
2	24	15
3	31	15
4	40	15
5	40	15
0	40	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4 binary64)
#s(literal 29 binary64)

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841/108 binary64)
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4/29 binary64)
#s(literal 4 binary64)
#s(literal 29 binary64)

localize20.0ms (0.4%)

Memory

39.6MiB live, 39.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.0	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

14.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (57.8% of total)

ival-mult: 2.0ms (28.9% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.7%)

Memory

-56.4MiB live, 4.2MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
1.0ms	x	@	-inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms	x	@	0	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

Time

Variable

Point

Expression

1.0ms

inf

((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

1.0ms

-inf

((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

0.0ms

((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

simplify12.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	32	14
2	62	14
3	122	14
4	172	14
5	219	14
6	278	14
7	377	14
8	413	14
9	417	14
0	417	12

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))

rewrite223.0ms (4.2%)

Memory

7.1MiB live, 326.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	153	10
3	1184	10
0	8573	9

Stop Event

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

Counts

4 → 174

Calls

Call 1

Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))) (+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))) (.f64 #s(literal 4/29 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 29/27 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))))
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(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -841/108 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal -841/108 binary64) x)) (sqrt.f64 (*.f64 #s(literal -841/108 binary64) x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
(.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (fabs.f64 x) #s(literal 841/108 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (fabs.f64 (fabs.f64 x)))
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) (fabs.f64 x))
(*.f64 #s(literal 841/108 binary64) x)
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x)))
(fabs.f64 (*.f64 #s(literal -841/108 binary64) x))
(fabs.f64 (*.f64 x #s(literal 841/108 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 x #s(literal 841/108 binary64)))) (sinh.f64 (log.f64 (.f64 x #s(literal 841/108 binary64)))))

eval25.0ms (0.5%)

Memory: -4.8MiB live, 49.7MiB allocated
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	169	8	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	8	178

Accuracy

100.0%

Counts

178 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
▶	50.3%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	98.8%	(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
▶	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
▶	77.6%	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
▶	77.6%	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
▶	54.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 192 to 140 computations (27.1% saved)

simplify23.0ms (0.4%)

Memory

-10.1MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
cost-diff	1	(neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	6	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
cost-diff	0	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	6	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
cost-diff	0	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 #s(literal -841/108 binary64) x)
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	162
0	51	146
1	82	146
2	162	146
3	343	146
4	572	146
5	686	146
6	710	146
7	720	146
8	731	146
9	732	146
0	732	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
#s(literal 4/29 binary64)
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
x
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(sqrt.f64 x)
#s(literal 4/29 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x)
(neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)

Outputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(*.f64 #s(literal -841/108 binary64) x)
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
x
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(sqrt.f64 x)
#s(literal 4/29 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#s(literal 841/108 binary64)
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 x x))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#s(literal 841/108 binary64)
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x)
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal -707281/11664 binary64) x)
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)

localize159.0ms (3%)

Memory

-1.0MiB live, 184.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.09375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.4911486528299175	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	7.276492447840385	(/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.0625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.1329698817227567	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	0.4911486528299175	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	7.276492447840385	(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0859375	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	0.09375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.5429076934413996	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	13.90378001636662	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.0625	(*.f64 #s(literal -841/108 binary64) x)

Samples

86.0ms	129×	0	valid
46.0ms	127×	0	invalid

Compiler

Compiled 167 to 35 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-div: 56.0ms (48.7% of total)

ival-mult: 24.0ms (20.9% of total)

const: 23.0ms (20% of total)

ival-add: 4.0ms (3.5% of total)

ival-sqrt: 3.0ms (2.6% of total)

ival-sub: 2.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

16 → 33

Calls

Call 1

Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt.f64 x)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(*.f64 x #s(literal 841/108 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))

Outputs
4/29
(+ 4/29 (* 841/108 x))
(* -841/108 x)
(* 841/108 (sqrt x))
(* 707281/11664 x)
(sqrt x)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(* -707281/11664 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* -707281/11664 (pow x 2))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))))
4.0ms	x	@	-inf	((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))))
4.0ms	x	@	0	((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))))

Time

Variable

Point

Expression

4.0ms

inf

((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))))

4.0ms

-inf

((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))))

4.0ms

((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))))

simplify321.0ms (6.1%)

Memory

-0.4MiB live, 250.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	283
1	393	271
2	1094	262
3	3092	257
4	7760	257
0	8051	245

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(* -841/108 x)
(* 841/108 (sqrt x))
(* 707281/11664 x)
(sqrt x)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(* -707281/11664 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* -707281/11664 (pow x 2))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* 841/108 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt x)
(sqrt.f64 x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -707281/11664 x)
(*.f64 #s(literal -707281/11664 binary64) x)
(* -20511149/46656 (pow x 2))
(.f64 (.f64 #s(literal -20511149/46656 binary64) x) x)
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) (.f64 x x))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal -746496/17249876309 binary64)) x)) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) #s(literal -4/29 binary64)))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -707281/11664 binary64))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -707281/11664 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 4/29 binary64))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(.f64 (neg.f64 (sqrt.f64 #s(literal -707281/11664 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal -746496/17249876309 binary64)) x)) x)
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)) x) #s(literal 841/108 binary64)))

rewrite295.0ms (5.6%)

Memory

-20.8MiB live, 401.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	118
0	51	84
1	180	84
2	1106	84
0	8920	75

Stop Event

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

Counts

16 → 1 247

Calls

Call 1

Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt.f64 x)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(*.f64 x #s(literal 841/108 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))

Outputs
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
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(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 841/108 binary64) x) (*.f64 x #s(literal -841/108 binary64)))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (.f64 #s(literal 841/108 binary64) x))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (neg.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 841/108 binary64) x))))
(.f64 (.f64 #s(literal 707281/11664 binary64) x) (neg.f64 x))
(.f64 #s(literal 707281/11664 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 841/108 binary64) (neg.f64 (.f64 x (*.f64 #s(literal 841/108 binary64) x))))
(.f64 #s(literal 841/108 binary64) (.f64 x (*.f64 x #s(literal -841/108 binary64))))
(.f64 (.f64 x #s(literal -841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x))
(.f64 x (neg.f64 (.f64 #s(literal -841/108 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(.f64 x (neg.f64 (.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x))))
(.f64 x (.f64 #s(literal -707281/11664 binary64) x))
(.f64 #s(literal -841/108 binary64) (neg.f64 (.f64 x (*.f64 x #s(literal -841/108 binary64)))))
(.f64 #s(literal -841/108 binary64) (.f64 x (*.f64 #s(literal 841/108 binary64) x)))
(neg.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 x (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 x (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal -707281/11664 binary64) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal -707281/11664 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 #s(literal -707281/11664 binary64) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal -707281/11664 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 #s(literal -707281/11664 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (neg.f64 x) (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (fma.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x))))
(.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal -707281/11664 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (.f64 x (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (/.f64 (neg.f64 x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x))
(.f64 (.f64 x (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -707281/11664 binary64))
(.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 #s(literal -707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 (neg.f64 x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 #s(literal 707281/11664 binary64) (.f64 (neg.f64 x) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(.f64 x (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(neg.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal 707281/11664 binary64) x)))

eval189.0ms (3.6%)

Memory: 28.3MiB live, 166.1MiB allocated
Compiler: Compiled 23 698 to 2 115 computations (91.1% saved)

prune206.0ms (3.9%)

Memory

15.8MiB live, 59.2MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	832	4	836
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	836	8	844

Accuracy

100.0%

Counts

844 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	50.3%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	99.0%	(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	77.6%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
▶	77.6%	(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	54.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 140 to 107 computations (23.6% saved)

simplify151.0ms (2.9%)

Memory

-61.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) x)
cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff	5	(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff	5	(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	147
0	44	137
1	74	137
2	156	137
3	402	137
4	704	137
5	836	137
6	853	137
7	860	137
8	860	137
0	860	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
x
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(literal -16/841 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
x
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
x
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(literal -16/841 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
x
(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
x
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(literal 16/841 binary64)

localize298.0ms (5.6%)

Memory

35.2MiB live, 173.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.15625	(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy	0.19921875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	0.5937061884226456	(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.6184336625983595	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.0625	(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy	0.19921875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	0.6184336625983595	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.8069455463330225	(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0546875	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
accuracy	0.07650375976844202	(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
accuracy	14.261488528911542	(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.0546875	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
accuracy	0.0625	(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
accuracy	0.19921875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	14.261488528911542	(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.0546875	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

277.0ms	250×	0	valid
2.0ms	5×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 170 to 32 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

const: 139.0ms (53% of total)

ival-div: 101.0ms (38.5% of total)

ival-mult: 14.0ms (5.3% of total)

ival-add: 8.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

series15.0ms (0.3%)

Memory

-39.3MiB live, 16.6MiB allocated

Counts

14 → 48

Calls

Call 1

Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(*.f64 x x)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))

Outputs
4/29
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 x)
(+ 4/29 (* -841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(pow x 2)
-4/29
(- (* 841/108 x) 4/29)
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

inf

((+ (* x 841/108) 4/29) (/ (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29)) (+ (* (* -707281/11664 x) x) 16/841) (* -707281/11664 x) (+ (* x -841/108) 4/29) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* 841/108 x) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (* x x) (+ (* 841/108 x) -4/29) (+ (* x (/ (* -707281/11664 x) (+ (* x -841/108) 4/29))) (/ 16/841 (+ (* x -841/108) 4/29))) (/ (* -707281/11664 x) (+ (* x -841/108) 4/29)) (+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (/ 16/841 (+ (* x -841/108) 4/29)))

2.0ms

-inf

((+ (* x 841/108) 4/29) (/ (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29)) (+ (* (* -707281/11664 x) x) 16/841) (* -707281/11664 x) (+ (* x -841/108) 4/29) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* 841/108 x) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (* x x) (+ (* 841/108 x) -4/29) (+ (* x (/ (* -707281/11664 x) (+ (* x -841/108) 4/29))) (/ 16/841 (+ (* x -841/108) 4/29))) (/ (* -707281/11664 x) (+ (* x -841/108) 4/29)) (+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (/ 16/841 (+ (* x -841/108) 4/29)))

2.0ms

((+ (* x 841/108) 4/29) (/ (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29)) (+ (* (* -707281/11664 x) x) 16/841) (* -707281/11664 x) (+ (* x -841/108) 4/29) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* 841/108 x) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (* x x) (+ (* 841/108 x) -4/29) (+ (* x (/ (* -707281/11664 x) (+ (* x -841/108) 4/29))) (/ 16/841 (+ (* x -841/108) 4/29))) (/ (* -707281/11664 x) (+ (* x -841/108) 4/29)) (+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (/ 16/841 (+ (* x -841/108) 4/29)))

simplify158.0ms (3%)

Memory

46.3MiB live, 232.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	370
1	494	364
2	1308	345
3	3754	341
0	8268	320

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 x)
(+ 4/29 (* -841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(pow x 2)
-4/29
(- (* 841/108 x) 4/29)
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 x)
(*.f64 #s(literal -707281/11664 binary64) x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -20511149/46656 x)
(*.f64 #s(literal -20511149/46656 binary64) x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x)
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(* 707281/11664 (pow x 2))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal 4/29 binary64)) x) #s(literal 841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) #s(literal 4/29 binary64)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal 1728/707281 binary64)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) #s(literal 4/29 binary64)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x)

rewrite312.0ms (5.9%)

Memory

1.5MiB live, 477.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	44	73
1	181	73
2	1183	73
0	8490	73

Stop Event

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

Counts

14 → 980

Calls

Call 1

Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(*.f64 x x)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))

Outputs
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) (.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) (.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (.f64 #s(literal -707281/11664 binary64) x)) (.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (.f64 #s(literal -707281/11664 binary64) x)))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))) x) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))) x))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 (neg.f64 x) #s(literal 841/108 binary64)) (*.f64 (neg.f64 x) #s(literal 841/108 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
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eval92.0ms (1.7%)

Memory: 5.6MiB live, 190.0MiB allocated
Compiler: Compiled 21 867 to 2 064 computations (90.6% saved)

prune16.0ms (0.3%)

Memory

-5.3MiB live, 39.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	716	5	721
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	720	9	729

Accuracy

100.0%

Counts

729 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.6%	(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	50.3%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	97.7%	(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	24.1%	(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
▶	23.9%	(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	54.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	46.3%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 194 to 163 computations (16% saved)

simplify46.0ms (0.9%)

Memory

-32.2MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) x)
cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff	0	(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
cost-diff	0	#s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
cost-diff	0	(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
cost-diff	0	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
cost-diff	0	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) x)
cost-diff	0	#s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64))
cost-diff	0	(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	196
0	60	196
1	93	196
2	188	196
3	422	196
4	744	196
5	1010	196
6	1116	196
7	1131	196
8	1148	196
9	1155	196
10	1155	196
0	1155	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
#s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64))
#s(literal -108/841 binary64)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
x
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
#s(literal 707281/11664 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
x
#s(literal 16/841 binary64)
#s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
x
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
(/.f64 #s(literal -1728/707281 binary64) x)
#s(literal -1728/707281 binary64)

Outputs
(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (.f64 #s(approx (/ x (+ ( x -841/108) 4/29)) #s(literal -108/841 binary64)) x) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
#s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64))
#s(literal -108/841 binary64)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
x
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 707281/11664 binary64) x) x)
#s(literal 707281/11664 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
x
#s(literal 16/841 binary64)
#s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(fma.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 x x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
x
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 #s(literal -707281/11664 binary64) x)
#s(literal -707281/11664 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
(/.f64 #s(literal -1728/707281 binary64) x)
#s(literal -1728/707281 binary64)

localize132.0ms (2.5%)

Memory

4.2MiB live, 139.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	0.41796875	(/.f64 #s(literal -1728/707281 binary64) x)
accuracy	0.5937061884226456	(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	34.288215038447184	#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
accuracy	0.1328125	(*.f64 #s(literal -841/108 binary64) x)
accuracy	0.19921875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	14.261488528911542	(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
accuracy	34.053434590711774	#s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.0546875	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
accuracy	0.2535572439086294	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
accuracy	14.261488528911542	(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	34.34319613195528	#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
accuracy	0.1328125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	34.29426389282035	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy	0.15625	(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy	0.19921875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	0.6184336625983595	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy	34.04655073087923	#s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64))

Samples

107.0ms	250×	0	valid
2.0ms	5×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 180 to 34 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

const: 31.0ms (51.4% of total)

ival-mult: 15.0ms (24.9% of total)

ival-div: 8.0ms (13.3% of total)

ival-add: 7.0ms (11.6% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

20 → 39

Calls

Call 1

Inputs
(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
#s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
#s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
(/.f64 #s(literal -1728/707281 binary64) x)

Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(* -707281/11664 x)
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(pow x 2)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 4/29 (* -841/108 x))
-4/29
(- (* 841/108 x) 4/29)
(* -841/108 x)
(/ -1728/707281 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x) (/ 16/841 (+ (* x -841/108) 4/29)) (+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* 841/108 x) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (* 707281/11664 (* x x)) (* x x) (/ (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29)) (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29) (+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (+ (* x -841/108) 4/29) (+ (* 841/108 x) -4/29) (* -841/108 x) (/ 16/841 (+ (* x -841/108) 4/29)) (/ -1728/707281 x))

2.0ms

-inf

((+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x) (/ 16/841 (+ (* x -841/108) 4/29)) (+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* 841/108 x) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (* 707281/11664 (* x x)) (* x x) (/ (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29)) (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29) (+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (+ (* x -841/108) 4/29) (+ (* 841/108 x) -4/29) (* -841/108 x) (/ 16/841 (+ (* x -841/108) 4/29)) (/ -1728/707281 x))

2.0ms

((+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x) (/ 16/841 (+ (* x -841/108) 4/29)) (+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* 841/108 x) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (* 707281/11664 (* x x)) (* x x) (/ (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29)) (+ (* (* -707281/11664 x) x) 16/841) (+ (* x -841/108) 4/29) (+ (* (/ x (+ (* x -841/108) 4/29)) (* -707281/11664 x)) (/ 16/841 (+ (* x -841/108) 4/29))) (/ x (+ (* x -841/108) 4/29)) (+ (* x -841/108) 4/29) (+ (* 841/108 x) -4/29) (* -841/108 x) (/ 16/841 (+ (* x -841/108) 4/29)) (/ -1728/707281 x))

simplify147.0ms (2.8%)

Memory

16.3MiB live, 203.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	283
1	427	277
2	1176	264
3	3379	264
4	7723	264
0	8712	244

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(* -707281/11664 x)
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(pow x 2)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 4/29 (* -841/108 x))
-4/29
(- (* 841/108 x) 4/29)
(* -841/108 x)
(/ -1728/707281 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* -707281/11664 x)
(*.f64 #s(literal -707281/11664 binary64) x)
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(pow x 2)
(*.f64 x x)
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal 1728/707281 binary64)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x)) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))

rewrite524.0ms (9.9%)

Memory

-12.6MiB live, 190.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	165
0	60	165
1	201	165
2	1281	165
0	8583	162

Stop Event

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

Counts

20 → 387

Calls

Call 1

Inputs
(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
#s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
#s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
(/.f64 #s(literal -1728/707281 binary64) x)

Outputs
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(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (.f64 #s(literal 841/108 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (-.f64 #s(literal -4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(+.f64 (/.f64 #s(literal -64/24389 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))))
(+.f64 (/.f64 #s(literal -64/24389 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(+.f64 #s(literal -4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(*.f64 (neg.f64 x) #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (neg.f64 x))
(*.f64 #s(literal -841/108 binary64) x)
(*.f64 x #s(literal -841/108 binary64))
(neg.f64 (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
(/.f64 #s(literal 1728/707281 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1728/707281 binary64) (neg.f64 x))
(/.f64 #s(literal -1728/707281 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1728/707281 binary64) x)
(neg.f64 (/.f64 #s(literal 1728/707281 binary64) x))

eval117.0ms (2.2%)

Memory: -3.6MiB live, 180.8MiB allocated
Compiler: Compiled 19 216 to 1 566 computations (91.9% saved)

prune26.0ms (0.5%)

Memory

-12.3MiB live, 42.7MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	476	2	478
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	477	10	487

Accuracy

100.0%

Counts

487 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.6%	(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
	97.7%	(fma.f64 (.f64 #s(approx (/ x (+ ( x -841/108) 4/29)) #s(literal -108/841 binary64)) x) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
✓	50.3%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
✓	97.7%	(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	24.1%	(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
	24.0%	(/.f64 #s(approx (+ (* (* -707281/11664 x) x) 16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	54.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	46.3%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 419 to 218 computations (48% saved)

regimes22.0ms (0.4%)

Memory

0.9MiB live, 46.6MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(/.f64 #s(approx (+ (* (* -707281/11664 x) x) 16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(approx (+ ( x -841/108) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(approx (/ x (+ (* x -841/108) 4/29)) #s(literal -108/841 binary64)) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (.f64 #s(approx (/ x (+ ( x -841/108) 4/29)) #s(literal -108/841 binary64)) x) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ 16/841 (+ ( x -841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))

Outputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))

Calls

3 calls:

9.0ms	x
6.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
5.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Calls

3 calls:

2.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms	x
2.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Outputs

#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Calls

3 calls:

1.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	x
1.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
98.0%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-34.8MiB live, 11.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Calls

3 calls:

3.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
54.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0712428300931732e-11	491074001686460300.0
0.0ms	-0.18029435832569213	-0.03271275426055893

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify12.0ms (0.2%)

Memory

36.2MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	49
1	39	49
2	55	49
3	70	49
4	83	49
5	83	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ ( x 841/108) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Outputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ ( x 841/108) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
(if (or (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/36028797018963968 binary64)) (not (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 6189700196426901/309485009821345068724781056 binary64)))) #s(approx (+ (* x 841/108) 4/29) (.f64 #s(literal 841/108 binary64) x)) #s(approx (+ ( x 841/108) 4/29) #s(literal 4/29 binary64)))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) #s(literal 4/29 binary64))

soundness311.0ms (5.9%)

Memory

-15.0MiB live, 219.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	370
1	494	364
2	1308	345
3	3754	341
0	8268	320
0	9	10
0	15	10
1	32	10
2	153	10
3	1184	10
0	8573	9
0	10	14
1	32	14
2	62	14
3	122	14
4	172	14
5	219	14
6	278	14
7	377	14
8	413	14
9	417	14
0	417	12

Stop Event

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

Compiler

Compiled 122 to 73 computations (40.2% saved)

preprocess78.0ms (1.5%)

Memory: -4.9MiB live, 87.6MiB allocated
Compiler: Compiled 116 to 68 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	14
1	32	14
2	62	14
3	122	14
4	172	14
5	219	14
6	278	14
7	377	14
8	413	14
9	417	14
0	417	12

Iter	Nodes	Cost
0	33	162
0	51	146
1	82	146
2	162	146
3	343	146
4	572	146
5	686	146
6	710	146
7	720	146
8	731	146
9	732	146
0	732	134

Iter	Nodes	Cost
0	23	147
0	44	137
1	74	137
2	156	137
3	402	137
4	704	137
5	836	137
6	853	137
7	860	137
8	860	137
0	860	137

Iter	Nodes	Cost
0	10	14
1	32	14
2	62	14
3	122	14
4	172	14
5	219	14
6	278	14
7	377	14
8	413	14
9	417	14
0	417	12

Iter	Nodes	Cost
0	33	162
0	51	146
1	82	146
2	162	146
3	343	146
4	572	146
5	686	146
6	710	146
7	720	146
8	731	146
9	732	146
0	732	134

Iter	Nodes	Cost
0	23	147
0	44	137
1	74	137
2	156	137
3	402	137
4	704	137
5	836	137
6	853	137
7	860	137
8	860	137
0	860	137

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (21.5%)

explain91.0ms (1.7%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.6%)

localize20.0ms (0.4%)

series38.0ms (0.7%)

simplify12.0ms (0.2%)

rewrite223.0ms (4.2%)

eval25.0ms (0.5%)

prune7.0ms (0.1%)

simplify23.0ms (0.4%)

localize159.0ms (3%)

series12.0ms (0.2%)

simplify321.0ms (6.1%)

rewrite295.0ms (5.6%)

eval189.0ms (3.6%)

prune206.0ms (3.9%)

simplify151.0ms (2.9%)

localize298.0ms (5.6%)

series15.0ms (0.3%)

simplify158.0ms (3%)

rewrite312.0ms (5.9%)

eval92.0ms (1.7%)

prune16.0ms (0.3%)

simplify46.0ms (0.9%)

localize132.0ms (2.5%)

series7.0ms (0.1%)

simplify147.0ms (2.8%)

rewrite524.0ms (9.9%)

eval117.0ms (2.2%)

prune26.0ms (0.5%)

regimes22.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

simplify12.0ms (0.2%)

soundness311.0ms (5.9%)

preprocess78.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	14
1	32	14
2	62	14
3	122	14
4	172	14
5	219	14
6	278	14
7	377	14
8	413	14
9	417	14
0	417	12

Iter	Nodes	Cost
0	33	162
0	51	146
1	82	146
2	162	146
3	343	146
4	572	146
5	686	146
6	710	146
7	720	146
8	731	146
9	732	146
0	732	134

Iter	Nodes	Cost
0	23	147
0	44	137
1	74	137
2	156	137
3	402	137
4	704	137
5	836	137
6	853	137
7	860	137
8	860	137
0	860	137